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Using Genetic Algorithms to Develop Strategies for the Prisoners Dilemma

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  • Haider, Adnan

Abstract

The Prisoner’s Dilemma, a simple two-person game invented by Merrill Flood & Melvin Dresher in the 1950s, has been studied extensively in Game Theory, Economics, and Political Science because it can be seen as an idealized model for real-world phenomena such as arms races (Axelrod 1984). In this paper, I describe a GA to search for strategies to play the Iterated Prisoner’s Dilemma, in which the fitness of a strategy is its average score in playing 100 games with itself and with every other member of the population. Each strategy remembers the three previous turns with a given player, by using a population of 20 strategies, fitness-proportional selection, single-point crossover with Pc=0.7, and mutation with Pm=0.001.

Suggested Citation

  • Haider, Adnan, 2005. "Using Genetic Algorithms to Develop Strategies for the Prisoners Dilemma," MPRA Paper 28574, University Library of Munich, Germany, revised 10 Apr 2006.
    • Handle: RePEc:pra:mprapa:28574
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    File URL: https://mpra.ub.uni-muenchen.de/28574/1/MPRA_paper_28574.pdf
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    References listed on IDEAS

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    1. Bryan Routledge, "undated". "Co-Evolution and Spatial Interactoin," GSIA Working Papers 1997-46, Carnegie Mellon University, Tepper School of Business.
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    Cited by:

    1. Essam El-Seidy & Karim Mohamed, 2014. "General Tit-For-Tat Strategy in The Three Players Prisoner’s Dilemma Game," World Scientific Research, Asian Online Journal Publishing Group, vol. 2(1), pages 1-9.

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    More about this item

    Keywords

    GA; Crossover; Mutation and Fitness-proportional;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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