Autocratic strategies for iterated games with arbitrary action spaces

Area of Science:

• Game Theory
• Evolutionary Game Theory
• Mathematical Economics

Background:

• Zero-determinant strategies offer unilateral control in iterated games.
• These strategies were previously limited to two-action games like the prisoner's dilemma.

Purpose of the Study:

• To generalize zero-determinant strategies to games with continuous action spaces.
• To investigate the existence and implications of autocratic strategies in broader game settings.

Main Methods:

• Extension of zero-determinant strategies to the continuous donation game.
• Analysis of strategy implementation with discrete actions within a continuous game.

Main Results:

• Autocratic strategies can be devised for games with continuous action spaces.
• A player can enforce a linear payoff relationship and extort unfair shares using simple strategies.

Conclusions:

• Zero-determinant strategies and autocratic control are possible beyond binary-choice games.
• Simple strategies can yield significant payoff advantages in complex game environments.