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Minimax algorithm with alpha-beta pruning and iterative deepening

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BarbaraJoebstl/AIND_Isolation

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Build a Game-playing Agent

Example game of isolation

Synopsis

In this project, students will develop an adversarial search agent to play the game "Isolation". Isolation is a deterministic, two-player game of perfect information in which the players alternate turns moving a single piece from one cell to another on a board. Whenever either player occupies a cell, that cell becomes blocked for the remainder of the game. The first player with no remaining legal moves loses, and the opponent is declared the winner. These rules are implemented in the isolation.Board class provided in the repository.

This project uses a version of Isolation where each agent is restricted to L-shaped movements (like a knight in chess) on a rectangular grid (like a chess or checkerboard). The agents can move to any open cell on the board that is 2-rows and 1-column or 2-columns and 1-row away from their current position on the board. Movements are blocked at the edges of the board (the board does not wrap around), however, the player can "jump" blocked or occupied spaces (just like a knight in chess).

Additionally, agents will have a fixed time limit each turn to search for the best move and respond. If the time limit expires during a player's turn, that player forfeits the match, and the opponent wins.

Students only need to modify code in the game_agent.py file to complete the project. Additional files include example Player and evaluation functions, the game board class, and a template to develop local unit tests.

Starter Code

The starter code is provided by Udacity AIND

Implemented Functions

  • MinimaxPlayer.minimax(): implement minimax search
  • AlphaBetaPlayer.alphabeta(): implement minimax search with alpha-beta pruning
  • AlphaBetaPlayer.get_move(): implement iterative deepening search
  • custom_score(): implement your own best position evaluation heuristic
  • custom_score_2(): implement your own alternate position evaluation heuristic
  • custom_score_3(): implement your own alternate position evaluation heuristic

Useful links

Quickstart Guide

The following example creates a game and illustrates the basic API. You can run this example by activating your aind anaconda environment and executing the command python sample_players.py

Tournament

The tournament.py script is used to evaluate the effectiveness of your custom heuristics. The script measures relative performance of your agent (named "Student" in the tournament) in a round-robin tournament against several other pre-defined agents. The Student agent uses time-limited Iterative Deepening along with your custom heuristics.

The tournament opponents are listed below. (See also: sample heuristics and players defined in sample_players.py)

  • Random: An agent that randomly chooses a move each turn.
  • MM_Open: MinimaxPlayer agent using the open_move_score heuristic with search depth 3
  • MM_Center: MinimaxPlayer agent using the center_score heuristic with search depth 3
  • MM_Improved: MinimaxPlayer agent using the improved_score heuristic with search depth 3
  • AB_Open: AlphaBetaPlayer using iterative deepening alpha-beta search and the open_move_score heuristic
  • AB_Center: AlphaBetaPlayer using iterative deepening alpha-beta search and the center_score heuristic
  • AB_Improved: AlphaBetaPlayer using iterative deepening alpha-beta search and the improved_score heuristic

Game Visualization

The isoviz folder contains a modified version of chessboard.js that can animate games played on a 7x7 board. In order to use the board, you must run a local webserver by running python -m http.server 8000 from your project directory (you can replace 8000 with another port number if that one is unavailable), then open your browser to http://localhost:8000 and navigate to the /isoviz/display.html page. Enter the move history of an isolation match (i.e., the array returned by the Board.play() method) into the text area and run the match. Refresh the page to run a different game. (Feel free to submit pull requests with improvements to isoviz.)