Artificial Intelligence and Machine Learning: Unit I(e): Adversarial search

Game Theory

Adversarial search - Artificial Intelligence and Machine Learning

Game theory does not prescribe a way or say how to play a game. Game theory is a set of ideas and techniques for analyzing conflict situations between two or more parties.

Game Theory

Game theory does not prescribe a way or say how to play a game. Game theory is a set of ideas and techniques for analyzing conflict situations between two or more parties. The outcomes are determined by their decisions.

General Game Theorem

In every two players, game like zero sum, non-random, perfect knowledge game there exists a perfect strategy guaranteed to at least result in a tie game.

The frequently used terms in game theory: -

- The term "game" means a sort of conflict in which n individuals or groups (known as players) participate.

- A list of "rules" stipulates the conditions under which the game begins.

- A game is said to have "perfect information" if all moves are known to each of the players involved.

- A "strategy" is a list of the optimal choices for each player at every stage of a given game.

- A "move" is the way in which game progresses from one stage to another, beginning with an initial state of the game to the final state.

- The total number of moves constitute the entirety of the game.

- The payoff or outcome, referes to what happens at the end of a game.

- Minimax: The least good of all good outcomes.

- Maximin: The least bad of all bad outcomes.

The important and basic game theory theorem is the mini-max theorem. This theorem says,

"If a minimax of one player corresponds to a maximin of the other player, then that outcome is the best that both players can hope for."

Artificial Intelligence and Machine Learning: Unit I(e): Adversarial search : Tag: : Adversarial search - Artificial Intelligence and Machine Learning - Game Theory


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CS3491 4th Semester CSE/ECE Dept | 2021 Regulation | 4th Semester CSE/ECE Dept 2021 Regulation