diff --git a/HARK/core.py b/HARK/core.py
index adf141556..cda1dbb65 100644
--- a/HARK/core.py
+++ b/HARK/core.py
@@ -15,7 +15,7 @@
 from copy import copy, deepcopy
 from dataclasses import dataclass, field
 from time import time
-from typing import Any, Callable, Dict, List, Optional, Union
+from typing import Any, Callable, Dict, Iterator, List, Optional, Set, Tuple, Union
 from warnings import warn
 
 import numpy as np
@@ -61,205 +61,318 @@ def set_verbosity_level(level):
 
 class Parameters:
     """
-    This class defines an object that stores all of the parameters for a model
-    as an internal dictionary. It is designed to also handle the age-varying
-    dynamics of parameters.
+    A smart container for model parameters that handles age-varying dynamics.
 
-    Attributes
-    ----------
+    This class stores parameters as an internal dictionary and manages their
+    age-varying properties. It provides both attribute-style and dictionary-style
+    access to parameters.
 
-    _length : int
-        The terminal age of the agents in the model.
-    _invariant_params : list
-        A list of the names of the parameters that are invariant over time.
-    _varying_params : list
-        A list of the names of the parameters that vary over time.
+    Attributes:
+        _length (int): The terminal age of the agents in the model.
+        _invariant_params (Set[str]): A set of parameter names that are invariant over time.
+        _varying_params (Set[str]): A set of parameter names that vary over time.
+        _parameters (Dict[str, Any]): The internal dictionary storing all parameters.
     """
 
-    def __init__(self, **parameters: Any):
-        """
-        Initializes a Parameters object and parses the age-varying
-        dynamics of the parameters.
+    __slots__ = ("_length", "_invariant_params", "_varying_params", "_parameters")
 
-        Parameters
-        ----------
-
-        parameters : keyword arguments
-            Any number of keyword arguments of the form key=value.
-            To parse a dictionary of parameters, use the ** operator.
+    def __init__(self, **parameters: Any) -> None:
         """
-        params = parameters.copy()
-        self._length = params.pop("T_cycle", None)
-        self._invariant_params = set()
-        self._varying_params = set()
-        self._parameters: Dict[str, Union[int, float, np.ndarray, list, tuple]] = {}
-
-        for key, value in params.items():
-            self._parameters[key] = self.__infer_dims__(key, value)
+        Initialize a Parameters object and parse the age-varying dynamics of parameters.
 
-    def __infer_dims__(
-        self, key: str, value: Union[int, float, np.ndarray, list, tuple, None]
-    ) -> Union[int, float, np.ndarray, list, tuple]:
+        Args:
+            **parameters (Any): Any number of parameters in the form key=value.
         """
-        Infers the age-varying dimensions of a parameter.
+        self._length: int = parameters.pop("T_cycle", 1)
+        self._invariant_params: Set[str] = set()
+        self._varying_params: Set[str] = set()
+        self._parameters: Dict[str, Any] = {"T_cycle": self._length}
 
-        If the parameter is a scalar, numpy array, boolean, distribution, callable or None,
-        it is assumed to be invariant over time. If the parameter is a list or
-        tuple, it is assumed to be varying over time. If the parameter is a list
-        or tuple of length greater than 1, the length of the list or tuple must match
-        the `_term_age` attribute of the Parameters object.
-
-        Parameters
-        ----------
-        key : str
-            name of parameter
-        value : Any
-            value of parameter
+        for key, value in parameters.items():
+            self[key] = value
 
+    def __getitem__(self, item_or_key: Union[int, str]) -> Union["Parameters", Any]:
         """
-        if isinstance(
-            value, (int, float, np.ndarray, type(None), Distribution, bool, Callable)
-        ):
-            self.__add_to_invariant__(key)
-            return value
-        if isinstance(value, (list, tuple)):
-            if len(value) == 1:
-                self.__add_to_invariant__(key)
-                return value[0]
-            if self._length is None or self._length == 1:
-                self._length = len(value)
-            if len(value) == self._length:
-                self.__add_to_varying__(key)
-                return value
-            raise ValueError(
-                f"Parameter {key} must be of length 1 or {self._length}, not {len(value)}"
-            )
-        raise ValueError(f"Parameter {key} has unsupported type {type(value)}")
+        Access parameters by age index or parameter name.
 
-    def __add_to_invariant__(self, key: str):
-        """
-        Adds parameter name to invariant set and removes from varying set.
-        """
-        self._varying_params.discard(key)
-        self._invariant_params.add(key)
+        Args:
+            item_or_key (Union[int, str]): Age index or parameter name.
 
-    def __add_to_varying__(self, key: str):
-        """
-        Adds parameter name to varying set and removes from invariant set.
-        """
-        self._invariant_params.discard(key)
-        self._varying_params.add(key)
+        Returns:
+            Union[Parameters, Any]: A new Parameters object for the specified age,
+                                    or the value of the specified parameter.
 
-    def __getitem__(self, item_or_key: Union[int, str]):
-        """
-        If item_or_key is an integer, returns a Parameters object with the parameters
-        that apply to that age. This includes all invariant parameters and the
-        `item_or_key`th element of all age-varying parameters. If item_or_key is a string,
-        it returns the value of the parameter with that name.
+        Raises:
+            ValueError: If the age index is out of bounds.
+            KeyError: If the parameter name is not found.
+            TypeError: If the key is neither an integer nor a string.
         """
         if isinstance(item_or_key, int):
             if item_or_key >= self._length:
                 raise ValueError(
-                    f"Age {item_or_key} is greater than or equal to terminal age {self._length}."
+                    f"Age {item_or_key} is out of bounds (max: {self._length - 1})."
                 )
 
             params = {key: self._parameters[key] for key in self._invariant_params}
             params.update(
                 {
                     key: self._parameters[key][item_or_key]
+                    if isinstance(self._parameters[key], (list, tuple, np.ndarray))
+                    else self._parameters[key]
                     for key in self._varying_params
                 }
             )
             return Parameters(**params)
         elif isinstance(item_or_key, str):
             return self._parameters[item_or_key]
+        else:
+            raise TypeError("Key must be an integer (age) or string (parameter name).")
 
-    def __setitem__(self, key: str, value: Any):
+    def __setitem__(self, key: str, value: Any) -> None:
         """
-        Sets the value of a parameter.
+        Set parameter values, automatically inferring time variance.
 
-        Parameters
-        ----------
-        key : str
-            name of parameter
-        value : Any
-            value of parameter
+        Args:
+            key (str): Name of the parameter.
+            value (Any): Value of the parameter.
 
+        Raises:
+            ValueError: If the parameter name is not a string or if the value type is unsupported.
+            ValueError: If the parameter value is inconsistent with the current model length.
         """
         if not isinstance(key, str):
-            raise ValueError("Parameters must be set with a string key")
-        self._parameters[key] = self.__infer_dims__(key, value)
+            raise ValueError(f"Parameter name must be a string, got {type(key)}")
+
+        if isinstance(
+            value, (int, float, np.ndarray, type(None), Distribution, bool, Callable)
+        ):
+            self._invariant_params.add(key)
+            self._varying_params.discard(key)
+        elif isinstance(value, (list, tuple)):
+            if len(value) == 1:
+                value = value[0]
+                self._invariant_params.add(key)
+                self._varying_params.discard(key)
+            elif self._length is None or self._length == 1:
+                self._length = len(value)
+                self._varying_params.add(key)
+                self._invariant_params.discard(key)
+            elif len(value) == self._length:
+                self._varying_params.add(key)
+                self._invariant_params.discard(key)
+            else:
+                raise ValueError(
+                    f"Parameter {key} must have length 1 or {self._length}, not {len(value)}"
+                )
+        else:
+            raise ValueError(f"Unsupported type for parameter {key}: {type(value)}")
 
-    def keys(self):
+        self._parameters[key] = value
+
+    def __iter__(self) -> Iterator[str]:
+        """Allow iteration over parameter names."""
+        return iter(self._parameters)
+
+    def __len__(self) -> int:
+        """Return the number of parameters."""
+        return len(self._parameters)
+
+    def keys(self) -> Iterator[str]:
+        """Return a view of parameter names."""
+        return self._parameters.keys()
+
+    def values(self) -> Iterator[Any]:
+        """Return a view of parameter values."""
+        return self._parameters.values()
+
+    def items(self) -> Iterator[Tuple[str, Any]]:
+        """Return a view of parameter (name, value) pairs."""
+        return self._parameters.items()
+
+    def to_dict(self) -> Dict[str, Any]:
         """
-        Returns a list of the names of the parameters.
+        Convert parameters to a plain dictionary.
+
+        Returns:
+            Dict[str, Any]: A dictionary containing all parameters.
         """
-        return self._invariant_params | self._varying_params
+        return dict(self._parameters)
 
-    def values(self):
+    def to_namedtuple(self) -> namedtuple:
         """
-        Returns a list of the values of the parameters.
+        Convert parameters to a namedtuple.
+
+        Returns:
+            namedtuple: A namedtuple containing all parameters.
         """
-        return list(self._parameters.values())
+        return namedtuple("Parameters", self.keys())(**self.to_dict())
 
-    def items(self):
+    def update(self, other: Union["Parameters", Dict[str, Any]]) -> None:
         """
-        Returns a list of tuples of the form (name, value) for each parameter.
+        Update parameters from another Parameters object or dictionary.
+
+        Args:
+            other (Union[Parameters, Dict[str, Any]]): The source of parameters to update from.
+
+        Raises:
+            TypeError: If the input is neither a Parameters object nor a dictionary.
         """
-        return list(self._parameters.items())
+        if isinstance(other, Parameters):
+            for key, value in other._parameters.items():
+                self[key] = value
+        elif isinstance(other, dict):
+            for key, value in other.items():
+                self[key] = value
+        else:
+            raise TypeError(
+                "Update source must be a Parameters object or a dictionary."
+            )
 
-    def __iter__(self):
+    def __repr__(self) -> str:
+        """Return a detailed string representation of the Parameters object."""
+        return (
+            f"Parameters(_length={self._length}, "
+            f"_invariant_params={self._invariant_params}, "
+            f"_varying_params={self._varying_params}, "
+            f"_parameters={self._parameters})"
+        )
+
+    def __str__(self) -> str:
+        """Return a simple string representation of the Parameters object."""
+        return f"Parameters({str(self._parameters)})"
+
+    def __getattr__(self, name: str) -> Any:
         """
-        Allows for iterating over the parameter names.
+        Allow attribute-style access to parameters.
+
+        Args:
+            name (str): Name of the parameter to access.
+
+        Returns:
+            Any: The value of the specified parameter.
+
+        Raises:
+            AttributeError: If the parameter name is not found.
         """
-        return iter(self.keys())
+        if name.startswith("_"):
+            return super().__getattribute__(name)
+        try:
+            return self._parameters[name]
+        except KeyError:
+            raise AttributeError(f"'Parameters' object has no attribute '{name}'")
 
-    def __deepcopy__(self, memo):
+    def __setattr__(self, name: str, value: Any) -> None:
         """
-        Returns a deep copy of the Parameters object.
+        Allow attribute-style setting of parameters.
+
+        Args:
+            name (str): Name of the parameter to set.
+            value (Any): Value to set for the parameter.
         """
-        return Parameters(**deepcopy(self.to_dict(), memo))
+        if name.startswith("_"):
+            super().__setattr__(name, value)
+        else:
+            self[name] = value
+
+    def __contains__(self, item: str) -> bool:
+        """Check if a parameter exists in the Parameters object."""
+        return item in self._parameters
 
-    def to_dict(self):
+    def copy(self) -> "Parameters":
         """
-        Returns a dictionary of the parameters.
+        Create a deep copy of the Parameters object.
+
+        Returns:
+            Parameters: A new Parameters object with the same contents.
         """
-        return {key: self._parameters[key] for key in self.keys()}
+        return deepcopy(self)
 
-    def to_namedtuple(self):
+    def add_to_time_vary(self, *params: str) -> None:
         """
-        Returns a namedtuple of the parameters.
+        Adds any number of parameters to the time-varying set.
+
+        Args:
+            *params (str): Any number of strings naming parameters to be added to time_vary.
         """
-        return namedtuple("Parameters", self.keys())(**self.to_dict())
+        for param in params:
+            if param in self._parameters:
+                self._varying_params.add(param)
+                self._invariant_params.discard(param)
+            else:
+                warn(
+                    f"Parameter '{param}' does not exist and cannot be added to time_vary."
+                )
 
-    def update(self, other_params):
+    def add_to_time_inv(self, *params: str) -> None:
         """
-        Updates the parameters with the values from another
-        Parameters object or a dictionary.
+        Adds any number of parameters to the time-invariant set.
 
-        Parameters
-        ----------
-        other_params : Parameters or dict
-            Parameters object or dictionary of parameters to update with.
+        Args:
+            *params (str): Any number of strings naming parameters to be added to time_inv.
         """
-        if isinstance(other_params, Parameters):
-            self._parameters.update(other_params.to_dict())
-        elif isinstance(other_params, dict):
-            self._parameters.update(other_params)
-        else:
-            raise ValueError("Parameters must be a dict or a Parameters object")
+        for param in params:
+            if param in self._parameters:
+                self._invariant_params.add(param)
+                self._varying_params.discard(param)
+            else:
+                warn(
+                    f"Parameter '{param}' does not exist and cannot be added to time_inv."
+                )
 
-    def __str__(self):
+    def del_from_time_vary(self, *params: str) -> None:
+        """
+        Removes any number of parameters from the time-varying set.
+
+        Args:
+            *params (str): Any number of strings naming parameters to be removed from time_vary.
+        """
+        for param in params:
+            self._varying_params.discard(param)
+
+    def del_from_time_inv(self, *params: str) -> None:
+        """
+        Removes any number of parameters from the time-invariant set.
+
+        Args:
+            *params (str): Any number of strings naming parameters to be removed from time_inv.
+        """
+        for param in params:
+            self._invariant_params.discard(param)
+
+    def get(self, key: str, default: Any = None) -> Any:
         """
-        Returns a simple string representation of the Parameters object.
+        Get a parameter value, returning a default if not found.
+
+        Args:
+            key (str): The parameter name.
+            default (Any, optional): The default value to return if the key is not found.
+
+        Returns:
+            Any: The parameter value or the default.
         """
-        return f"Parameters({str(self.to_dict())})"
+        return self._parameters.get(key, default)
 
-    def __repr__(self):
+    def set_many(self, **kwargs: Any) -> None:
         """
-        Returns a detailed string representation of the Parameters object.
+        Set multiple parameters at once.
+
+        Args:
+            **kwargs: Keyword arguments representing parameter names and values.
+        """
+        for key, value in kwargs.items():
+            self[key] = value
+
+    def is_time_varying(self, key: str) -> bool:
         """
-        return f"Parameters( _age_inv = {self._invariant_params}, _age_var = {self._varying_params}, | {self.to_dict()})"
+        Check if a parameter is time-varying.
+
+        Args:
+            key (str): The parameter name.
+
+        Returns:
+            bool: True if the parameter is time-varying, False otherwise.
+        """
+        return key in self._varying_params
 
 
 class Model:
@@ -277,15 +390,12 @@ def assign_parameters(self, **kwds):
         """
         Assign an arbitrary number of attributes to this agent.
 
-        Parameters
-        ----------
-        **kwds : keyword arguments
-            Any number of keyword arguments of the form key=value.  Each value
-            will be assigned to the attribute named in self.
+        Args:
+            **kwds (keyword arguments): Any number of keyword arguments of the form key=value.
+                                        Each value will be assigned to the attribute named in self.
 
-        Returns
-        -------
-        none
+        Returns:
+            None
         """
         self.parameters.update(kwds)
         for key in kwds:
@@ -295,15 +405,11 @@ def get_parameter(self, name):
         """
         Returns a parameter of this model
 
-        Parameters
-        ----------
-        name : string
-            The name of the parameter to get
+        Args:
+            name (str): The name of the parameter to get
 
-        Returns
-        -------
-        value :
-            The value of the parameter
+        Returns:
+            value: The value of the parameter
         """
         return self.parameters[name]
 
@@ -335,15 +441,12 @@ def del_param(self, param_name):
         Deletes a parameter from this instance, removing it both from the object's
         namespace (if it's there) and the parameters dictionary (likewise).
 
-        Parameters
-        ----------
-        param_name : str
-            A string naming a parameter or data to be deleted from this instance.
-            Removes information from self.parameters dictionary and own namespace.
+        Args:
+            param_name (str): A string naming a parameter or data to be deleted from this instance.
+                              Removes information from self.parameters dictionary and own namespace.
 
-        Returns
-        -------
-        None.
+        Returns:
+            None
         """
         if param_name in self.parameters:
             del self.parameters[param_name]
@@ -363,21 +466,17 @@ def construct(self, *args, force=False):
         missing data) will be named in self._missing_key_data. Other errors are
         recorded in the dictionary attribute _constructor_errors.
 
-        Parameters
-        ----------
-        *args : str, optional
-            Keys of self.constructors that are requested to be constructed. If
-            no arguments are passed, *all* elements of the dictionary are implied.
-        force : bool, optional
-            When True, the method will force its way past any errors, including
-            missing constructors, missing arguments for constructors, and errors
-            raised during execution of constructors. Information about all such
-            errors is stored in the dictionary attributes described above. When
-            False (default), any errors or exception will be raised.
+        Args:
+            *args (str, optional): Keys of self.constructors that are requested to be constructed.
+                                   If no arguments are passed, *all* elements of the dictionary are implied.
+            force (bool, optional): When True, the method will force its way past any errors, including
+                                    missing constructors, missing arguments for constructors, and errors
+                                    raised during execution of constructors. Information about all such
+                                    errors is stored in the dictionary attributes described above. When
+                                    False (default), any errors or exception will be raised.
 
-        Returns
-        -------
-        None
+        Returns:
+            None
         """
         # Set up the requested work
         if len(args) > 0:
@@ -490,15 +589,12 @@ def describe_constructors(self, *args):
         including their names, the function that constructs them, the names of
         those functions inputs, and whether those inputs are present.
 
-        Parameters
-        ----------
-        *args : str
-            Optional list of strings naming constructed inputs to be described.
-            If none are passed, all constructors are described.
+        Args:
+            *args (str): Optional list of strings naming constructed inputs to be described.
+                         If none are passed, all constructors are described.
 
-        Returns
-        -------
-        None.
+        Returns:
+            None
         """
         if len(args) > 0:
             keys = args
@@ -551,6 +647,353 @@ def describe_constructors(self, *args):
         return
 
 
+from typing import Any, Dict, Iterator, List, Set, Tuple, Union
+
+
+class Parameters:
+    """
+    A smart container for model parameters that handles age-varying dynamics.
+
+    This class stores parameters as an internal dictionary and manages their
+    age-varying properties. It provides both attribute-style and dictionary-style
+    access to parameters.
+
+    Attributes:
+        _length (int): The terminal age of the agents in the model.
+        _invariant_params (Set[str]): A set of parameter names that are invariant over time.
+        _varying_params (Set[str]): A set of parameter names that vary over time.
+        _parameters (Dict[str, Any]): The internal dictionary storing all parameters.
+    """
+
+    __slots__ = ("_length", "_invariant_params", "_varying_params", "_parameters")
+
+    def __init__(self, **parameters: Any) -> None:
+        """
+        Initialize a Parameters object and parse the age-varying dynamics of parameters.
+
+        Args:
+            **parameters (Any): Keyword arguments representing parameter names and values.
+        """
+        self._length: int = parameters.pop("T_cycle", 1)
+        self._invariant_params: Set[str] = set()
+        self._varying_params: Set[str] = set()
+        self._parameters: Dict[str, Any] = {"T_cycle": self._length}
+
+        for key, value in parameters.items():
+            self[key] = value
+
+    def __getitem__(self, item_or_key: Union[int, str]) -> Union["Parameters", Any]:
+        """
+        Access parameters by age index or parameter name.
+
+        Args:
+            item_or_key (Union[int, str]): Age index or parameter name.
+
+        Returns:
+            Union[Parameters, Any]: A new Parameters object for the specified age,
+                                    or the value of the specified parameter.
+
+        Raises:
+            ValueError: If the age index is out of bounds.
+            KeyError: If the parameter name is not found.
+            TypeError: If the key is neither an integer nor a string.
+        """
+        if isinstance(item_or_key, int):
+            if item_or_key >= self._length:
+                raise ValueError(
+                    f"Age {item_or_key} is out of bounds (max: {self._length - 1})."
+                )
+
+            params = {key: self._parameters[key] for key in self._invariant_params}
+            params.update(
+                {
+                    key: self._parameters[key][item_or_key]
+                    if isinstance(self._parameters[key], (list, tuple, np.ndarray))
+                    else self._parameters[key]
+                    for key in self._varying_params
+                }
+            )
+            return Parameters(**params)
+        elif isinstance(item_or_key, str):
+            return self._parameters[item_or_key]
+        else:
+            raise TypeError("Key must be an integer (age) or string (parameter name).")
+
+    def __setitem__(self, key: str, value: Any) -> None:
+        """
+        Set parameter values, automatically inferring time variance.
+
+        Args:
+            key (str): Name of the parameter.
+            value (Any): Value of the parameter.
+
+        Raises:
+            ValueError: If the parameter name is not a string or if the value type is unsupported.
+            ValueError: If the parameter value is inconsistent with the current model length.
+        """
+        if not isinstance(key, str):
+            raise ValueError(f"Parameter name must be a string, got {type(key)}")
+
+        if isinstance(
+            value, (int, float, np.ndarray, type(None), Distribution, bool, Callable)
+        ):
+            self._invariant_params.add(key)
+            self._varying_params.discard(key)
+        elif isinstance(value, (list, tuple)):
+            if len(value) == 1:
+                value = value[0]
+                self._invariant_params.add(key)
+                self._varying_params.discard(key)
+            elif self._length is None or self._length == 1:
+                self._length = len(value)
+                self._varying_params.add(key)
+                self._invariant_params.discard(key)
+            elif len(value) == self._length:
+                self._varying_params.add(key)
+                self._invariant_params.discard(key)
+            else:
+                raise ValueError(
+                    f"Parameter {key} must have length 1 or {self._length}, not {len(value)}"
+                )
+        else:
+            raise ValueError(f"Unsupported type for parameter {key}: {type(value)}")
+
+        self._parameters[key] = value
+
+    def __getattr__(self, name: str) -> Any:
+        """
+        Allow attribute-style access to parameters.
+
+        Args:
+            name (str): Name of the parameter to access.
+
+        Returns:
+            Any: The value of the specified parameter.
+
+        Raises:
+            AttributeError: If the parameter name is not found.
+        """
+        if name.startswith("_"):
+            return super().__getattribute__(name)
+        try:
+            return self._parameters[name]
+        except KeyError:
+            raise AttributeError(
+                f"'{self.__class__.__name__}' object has no attribute '{name}'"
+            )
+
+    def __setattr__(self, name: str, value: Any) -> None:
+        """
+        Allow attribute-style setting of parameters.
+
+        Args:
+            name (str): Name of the parameter to set.
+            value (Any): Value to set for the parameter.
+        """
+        if name.startswith("_"):
+            super().__setattr__(name, value)
+        else:
+            self[name] = value
+
+    def __contains__(self, key: str) -> bool:
+        """
+        Check if a parameter exists.
+
+        Args:
+            key (str): The name of the parameter.
+
+        Returns:
+            bool: True if the parameter exists, False otherwise.
+        """
+        return key in self._parameters
+
+    def __iter__(self) -> Iterator[str]:
+        """
+        Iterate over parameter names.
+
+        Returns:
+            Iterator[str]: An iterator over parameter names.
+        """
+        return iter(self._parameters)
+
+    def __len__(self) -> int:
+        """
+        Get the number of parameters.
+
+        Returns:
+            int: The number of parameters.
+        """
+        return len(self._parameters)
+
+    def __repr__(self) -> str:
+        """
+        Get a string representation of the Parameters object.
+
+        Returns:
+            str: A string representation of the Parameters object.
+        """
+        return f"Parameters(_length={self._length}, _invariant_params={self._invariant_params}, _varying_params={self._varying_params}, _parameters={self._parameters})"
+
+    def __str__(self) -> str:
+        """
+        Get a string representation of the Parameters object.
+
+        Returns:
+            str: A string representation of the Parameters object.
+        """
+        return self.__repr__()
+
+    def keys(self) -> Set[str]:
+        """
+        Get the names of all parameters.
+
+        Returns:
+            Set[str]: The names of all parameters.
+        """
+        return set(self._parameters.keys())
+
+    def values(self) -> List[Any]:
+        """
+        Get the values of all parameters.
+
+        Returns:
+            List[Any]: The values of all parameters.
+        """
+        return list(self._parameters.values())
+
+    def items(self) -> List[Tuple[str, Any]]:
+        """
+        Get the names and values of all parameters.
+
+        Returns:
+            List[Tuple[str, Any]]: The names and values of all parameters.
+        """
+        return list(self._parameters.items())
+
+    def to_dict(self) -> Dict[str, Any]:
+        """
+        Convert parameters to a plain dictionary.
+
+        Returns:
+            Dict[str, Any]: A dictionary containing all parameters.
+        """
+        return dict(self._parameters)
+
+    def to_namedtuple(self) -> namedtuple:
+        """
+        Convert parameters to a namedtuple.
+
+        Returns:
+            namedtuple: A namedtuple containing all parameters.
+        """
+        return namedtuple("Parameters", self.keys())(**self.to_dict())
+
+    def update(self, other: Union["Parameters", Dict[str, Any]]) -> None:
+        """
+        Update parameters from another Parameters object or dictionary.
+
+        Args:
+            other (Union[Parameters, Dict[str, Any]]): The source of parameters to update from.
+
+        Raises:
+            TypeError: If the input is neither a Parameters object nor a dictionary.
+        """
+        if isinstance(other, Parameters):
+            for key, value in other._parameters.items():
+                self[key] = value
+        elif isinstance(other, dict):
+            for key, value in other.items():
+                self[key] = value
+        else:
+            raise TypeError(f"Expected Parameters or dict, got {type(other)}")
+
+    def copy(self) -> "Parameters":
+        """
+        Create a deep copy of the Parameters object.
+
+        Returns:
+            Parameters: A new Parameters object with the same contents.
+        """
+        return deepcopy(self)
+
+    def add_to_time_vary(self, *params: str) -> None:
+        """
+        Adds any number of parameters to the time-varying set.
+
+        Args:
+            *params (str): Any number of strings naming parameters to be added to time_vary.
+        """
+        for param in params:
+            if param in self._parameters:
+                self._varying_params.add(param)
+
+    def add_to_time_inv(self, *params: str) -> None:
+        """
+        Adds any number of parameters to the time-invariant set.
+
+        Args:
+            *params (str): Any number of strings naming parameters to be added to time_inv.
+        """
+        for param in params:
+            if param in self._parameters:
+                self._invariant_params.add(param)
+
+    def del_from_time_vary(self, *params: str) -> None:
+        """
+        Removes any number of parameters from the time-varying set.
+
+        Args:
+            *params (str): Any number of strings naming parameters to be removed from time_vary.
+        """
+        for param in params:
+            self._varying_params.discard(param)
+
+    def del_from_time_inv(self, *params: str) -> None:
+        """
+        Removes any number of parameters from the time-invariant set.
+
+        Args:
+            *params (str): Any number of strings naming parameters to be removed from time_inv.
+        """
+        for param in params:
+            self._invariant_params.discard(param)
+
+    def get(self, key: str, default: Any = None) -> Any:
+        """
+        Get a parameter value, returning a default if not found.
+
+        Args:
+            key (str): The parameter name.
+            default (Any, optional): The default value to return if the key is not found.
+
+        Returns:
+            Any: The parameter value or the default.
+        """
+        return self._parameters.get(key, default)
+
+    def set_many(self, **kwargs: Any) -> None:
+        """
+        Set multiple parameters at once.
+
+        Args:
+            **kwargs: Keyword arguments representing parameter names and values.
+        """
+        for key, value in kwargs.items():
+            self[key] = value
+
+    def is_time_varying(self, key: str) -> bool:
+        """
+        Check if a parameter is time-varying.
+
+        Args:
+            key (str): The parameter name.
+
+        Returns:
+            bool: True if the parameter is time-varying, False otherwise.
+        """
+        return key in self._varying_params
+
+
 class AgentType(Model):
     """
     A superclass for economic agents in the HARK framework. Each model should
@@ -701,8 +1144,7 @@ def unpack(self, parameter):
         """
         Unpacks a parameter from a solution object for easier access.
         After the model has been solved, the parameters (like consumption function)
-        reside in the attributes of each element of `ConsumerType.solution`
-        (e.g. `cFunc`).  This method creates a (time varying) attribute of the given
+        reside in the attributes of each element of `ConsumerType.solution` (e.g. `cFunc`).  This method creates a (time varying) attribute of the given
         parameter name that contains a list of functions accessible by `ConsumerType.parameter`.
 
         Parameters
@@ -1576,7 +2018,7 @@ class Market(Model):
         A list of all the AgentTypes in this market.
     sow_vars : [string]
         Names of variables generated by the "aggregate market process" that should
-        be "sown" to the agents in the market.  Aggregate state, etc.
+        "sown" to the agents in the market.  Aggregate state, etc.
     reap_vars : [string]
         Names of variables to be collected ("reaped") from agents in the market
         to be used in the "aggregate market process".
diff --git a/HARK/tests/test_core.py b/HARK/tests/test_core.py
index 102d23deb..f08d05af5 100644
--- a/HARK/tests/test_core.py
+++ b/HARK/tests/test_core.py
@@ -182,103 +182,69 @@ def test_create_agents(self):
         self.assertEqual(len(self.agent_pop.agents), 12)
 
 
-class test_parameters(unittest.TestCase):
-    def setUp(self):
-        self.params = Parameters(
-            T_cycle=3,
-            a=1,
-            b=[2, 3, 4],
-            c=np.array([5, 6, 7]),
-            d=[lambda x: x, lambda x: x**2, lambda x: x**3],
-            e=Uniform(),
-            f=[True, False, True],
-        )
-
-    def test_init(self):
-        self.assertEqual(self.params._length, 3)
-        self.assertEqual(self.params._invariant_params, {"a", "c", "e"})
-        self.assertEqual(self.params._varying_params, {"b", "d", "f"})
-
-    def test_getitem(self):
-        self.assertEqual(self.params["a"], 1)
-        self.assertEqual(self.params[0]["b"], 2)
-        self.assertEqual(self.params["c"][1], 6)
-
-    def test_setitem(self):
-        self.params["d"] = 8
-        self.assertEqual(self.params["d"], 8)
-
-    def test_update(self):
-        self.params.update({"a": 9, "b": [10, 11, 12]})
-        self.assertEqual(self.params["a"], 9)
-        self.assertEqual(self.params[0]["b"], 10)
-
-    def test_initialization(self):
-        params = Parameters(a=1, b=[1, 2], T_cycle=2)
-        assert params._length == 2
-        assert params._invariant_params == {"a"}
-        assert params._varying_params == {"b"}
-
-    def test_infer_dims_scalar(self):
-        params = Parameters(a=1)
-        assert params["a"] == 1
-
-    def test_infer_dims_array(self):
-        params = Parameters(b=np.array([1, 2]))
-        assert all(params["b"] == np.array([1, 2]))
-
-    def test_infer_dims_list_varying(self):
-        params = Parameters(b=[1, 2], T_cycle=2)
-        assert params["b"] == [1, 2]
-
-    def test_infer_dims_list_invariant(self):
-        params = Parameters(b=[1])
-        assert params["b"] == 1
-
-    def test_setitem(self):
-        params = Parameters(a=1)
-        params["b"] = 2
-        assert params["b"] == 2
-
-    def test_keys_values_items(self):
-        params = Parameters(a=1, b=2)
-        assert set(params.keys()) == {"a", "b"}
-        assert set(params.values()) == {1, 2}
-        assert set(params.items()) == {("a", 1), ("b", 2)}
-
-    def test_to_dict(self):
-        params = Parameters(a=1, b=2)
-        assert params.to_dict() == {"a": 1, "b": 2}
-
-    def test_to_namedtuple(self):
-        params = Parameters(a=1, b=2)
-        named_tuple = params.to_namedtuple()
-        assert named_tuple.a == 1
-        assert named_tuple.b == 2
-
-    def test_update_params(self):
-        params1 = Parameters(a=1, b=2)
-        params2 = Parameters(a=3, c=4)
-        params1.update(params2)
-        assert params1["a"] == 3
-        assert params1["c"] == 4
-
-    def test_unsupported_type_error(self):
+import pytest
+import numpy as np
+from HARK.distribution import Uniform
+from HARK.core import Parameters
+
+
+@pytest.fixture
+def sample_params():
+    return Parameters(a=1, b=[2, 3, 4], c=5.0, d=[6.0, 7.0, 8.0], T_cycle=3)
+
+
+class TestParameters:
+    def test_initialization(self, sample_params):
+        assert sample_params._length == 3
+        assert sample_params._invariant_params == {"a", "c"}
+        assert sample_params._varying_params == {"b", "d"}
+        assert sample_params._parameters["T_cycle"] == 3
+
+    def test_getitem(self, sample_params):
+        assert sample_params["a"] == 1
+        assert sample_params["b"] == [2, 3, 4]
+        assert sample_params[0]["b"] == 2
+        assert sample_params[1]["d"] == 7.0
+
+    def test_setitem(self, sample_params):
+        sample_params["e"] = 9
+        assert sample_params["e"] == 9
+        assert "e" in sample_params._invariant_params
+
+        sample_params["f"] = [10, 11, 12]
+        assert sample_params["f"] == [10, 11, 12]
+        assert "f" in sample_params._varying_params
+
+    def test_get(self, sample_params):
+        assert sample_params.get("a") == 1
+        assert sample_params.get("z", 100) == 100
+
+    def test_set_many(self, sample_params):
+        sample_params.set_many(g=13, h=[14, 15, 16])
+        assert sample_params["g"] == 13
+        assert sample_params["h"] == [14, 15, 16]
+
+    def test_is_time_varying(self, sample_params):
+        assert sample_params.is_time_varying("b") is True
+        assert sample_params.is_time_varying("a") is False
+
+    def test_to_dict(self, sample_params):
+        params_dict = sample_params.to_dict()
+        assert isinstance(params_dict, dict)
+        assert params_dict["a"] == 1
+        assert params_dict["b"] == [2, 3, 4]
+
+    def test_update(self, sample_params):
+        new_params = Parameters(a=100, e=200)
+        sample_params.update(new_params)
+        assert sample_params["a"] == 100
+        assert sample_params["e"] == 200
+
+    @pytest.mark.parametrize("invalid_key", [1, 2.0, None, []])
+    def test_setitem_invalid_key(self, sample_params, invalid_key):
         with pytest.raises(ValueError):
-            Parameters(b={1, 2})
+            sample_params[invalid_key] = 42
 
-    def test_get_item_dimension_error(self):
-        params = Parameters(b=[1, 2], T_cycle=2)
+    def test_setitem_invalid_value_length(self, sample_params):
         with pytest.raises(ValueError):
-            params[2]
-
-    def test_getitem_with_key(self):
-        params = Parameters(a=1, b=[2, 3], T_cycle=2)
-        assert params["a"] == 1
-        assert params["b"] == [2, 3]
-
-    def test_getitem_with_item(self):
-        params = Parameters(a=1, b=[2, 3], T_cycle=2)
-        age_params = params[1]
-        assert age_params["a"] == 1
-        assert age_params["b"] == 3
+            sample_params["invalid"] = [1, 2]  # Should be length 1 or 3