Class GameTheoryEngine

java.lang.Object

org.episteme.social.economics.GameTheoryEngine

public final class GameTheoryEngine
extends Object

Computes strategic outcomes and equilibria for game theoretic models. Supports finding Pure Nash Equilibria and solving 2x2 mixed strategy games.

Since:

1.0

Version:

1.1

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Nested Class Summary

Nested Classes

Modifier and Type	Class	Description
static final record	GameTheoryEngine.NashEquilibrium	Details of a strategic equilibrium point.
static final record	GameTheoryEngine.NormalFormGame	Data model for a 2-player game in normal form.

Method Summary

Modifier and Type	Method	Description
static Optional<double[]>	findMixedNashEquilibrium2x2(GameTheoryEngine.NormalFormGame game)	Calculates the mixed strategy probabilities for a symmetric 2x2 game.
static List<GameTheoryEngine.NashEquilibrium>	findPureNashEquilibria(GameTheoryEngine.NormalFormGame game)	Identifies all pure strategy Nash equilibria in a normal form game.
static GameTheoryEngine.NormalFormGame	prisonersDilemma()	Factory for the classic Prisoner's Dilemma.

Methods inherited from class Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Details

findPureNashEquilibria

public static List<GameTheoryEngine.NashEquilibrium> findPureNashEquilibria(GameTheoryEngine.NormalFormGame game)

Identifies all pure strategy Nash equilibria in a normal form game.

Parameters:

game - the game to analyze

Returns:

a list of pure equilibria

findMixedNashEquilibrium2x2

public static Optional<double[]> findMixedNashEquilibrium2x2(GameTheoryEngine.NormalFormGame game)

Calculates the mixed strategy probabilities for a symmetric 2x2 game.

Returns:

Optional array [p, q] where p is P1's probability for first strategy, q is P2's.

prisonersDilemma

public static GameTheoryEngine.NormalFormGame prisonersDilemma()

Factory for the classic Prisoner's Dilemma.