Documentation of new Mountain Car environments

docs/environments/classical.md

@@ -9,9 +9,17 @@ Multi-objective versions of classical Gymnasium's environments.
 | Env                                                                                                                                                                                                                                                                | Obs/Action spaces                   | Objectives                                                    | Description                                                                                                                                                                                                                                                     |
 |--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|-------------------------------------|---------------------------------------------------------------|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
 | [`mo-mountaincar-v0`](https://mo-gymnasium.farama.org/environments/mo-mountaincar/) <br><img src="https://raw.githubusercontent.com/Farama-Foundation/MO-Gymnasium/main/docs/_static/videos/mo-mountaincar.gif" width="200px">                                     | Continuous / Discrete               | `[time_penalty, reverse_penalty, forward_penalty]`            | Classic Mountain Car env, but with extra penalties for the forward and reverse actions. From [Vamplew et al. 2011](https://www.researchgate.net/publication/220343783_Empirical_evaluation_methods_for_multiobjective_reinforcement_learning_algorithms).       |
-| [`mo-mountaincarcontinuous-v0`](https://mo-gymnasium.farama.org/environments/mo-mountaincarcontinuous/) <br><img src="https://raw.githubusercontent.com/Farama-Foundation/MO-Gymnasium/main/docs/_static/videos/mo-mountaincarcontinuous.gif" width="200px">       | Continuous / Continuous             | `[time_penalty, fuel_consumption_penalty]`                    | Continuous Mountain Car env, but with penalties for fuel consumption.                                                                                                                                                                                           |
+[`mo-mountaincar-3d-v0`](https://mo-gymnasium.farama.org/environments/mo-mountaincar/) ** <br><img src="https://raw.githubusercontent.com/Farama-Foundation/MO-Gymnasium/main/docs/_static/videos/mo-mountaincar.gif" width="200px">  | Continuous / Discrete| `[time_penalty, move_penalty, speed_objective]` | The forward and backward penalties have been merged into the move penalty and a speed objective has been introduced which gives the positive reward equivalent to the car's speed at that time step.* |
+[`mo-mountaincar-timemove-v0`](https://mo-gymnasium.farama.org/environments/mo-mountaincar/) ** <br><img src="https://raw.githubusercontent.com/Farama-Foundation/MO-Gymnasium/main/docs/_static/videos/mo-mountaincar.gif" width="200px">  | Continuous / Discrete | `[time_penalty, move_penalty]`| Class Mountain Car env but an extra penalty for moving backwards or forwards merged into a move penalty. |
+[`mo-mountaincar-timespeed-v0`](https://mo-gymnasium.farama.org/environments/mo-mountaincar/) ** <br><img src="https://raw.githubusercontent.com/Farama-Foundation/MO-Gymnasium/main/docs/_static/videos/mo-mountaincar.gif" width="200px"> | Continuous / Discrete| `[time_penalty, speed_objective]` | Class Mountain Car env but an extra positive objective of speed which gives the positive reward equivalent to the car's speed at that time step.*
+| [`mo-mountaincarcontinuous-v0`](https://mo-gymnasium.farama.org/environments/mo-mountaincarcontinuous/) <br><img src="https://raw.githubusercontent.com/Farama-Foundation/MO-Gymnasium/main/docs/_static/videos/mo-mountaincarcontinuous.gif" width="200px">       | Continuous / Continuous             | `[time_penalty, fuel_consumption_penalty]`                    | Continuous Mountain Car env, but with penalties for fuel consumption.                                                                                                                     |
 | [`mo-lunar-lander-v2`](https://mo-gymnasium.farama.org/environments/mo-lunar-lander/) <br><img src="https://raw.githubusercontent.com/Farama-Foundation/MO-Gymnasium/main/docs/_static/videos/mo-lunar-lander.gif" width="200px">                                  | Continuous / Discrete or Continuous | `[landed, shaped_reward, main_engine_fuel, side_engine_fuel]` | MO version of the `LunarLander-v2` [environment](https://gymnasium.farama.org/environments/box2d/lunar_lander/). Objectives defined similarly as in [Hung et al. 2022](https://openreview.net/forum?id=AwWaBXLIJE).                                             |
 
+*An additional objective was introduced to prevent the agent from converging to the local maxima due to a lack of reward signal for the static action.
+
+**Read more about these environments and the detailed reasoning behind them in [`Pranav Gupta's Dissertation`](https://drive.google.com/file/d/1yT6hlavYZGmoB2phaIBX_5hbibA3Illa/view?usp=sharing)
+<!Can be removed if required, work is currently in place to write a research paper though may take a while->
+
 ```{toctree}
 :hidden:
 :glob:

mo_gymnasium/envs/mountain_car/mountain_car.py

@@ -19,7 +19,7 @@ class MOMountainCar(MountainCarEnv, EzPickle):
     - reverse penalty: -1.0 for each time step the action is 0 (reverse)
     - forward penalty: -1.0 for each time step the action is 2 (forward)
 
-    Alternatively, the reward can be changed with the following options:
+    #Alternatively, the reward can be changed with the following options:
     - add_speed_objective: Add an extra objective corresponding to the speed of the car.
     - remove_move_penalty: Remove the reverse and forward objectives.
     - merge_move_penalty: Merge reverse and forward penalties into a single penalty.