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Using Genetic Algorithms To Develop Strategies For The Prisoners Dilemma

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Author Info
Bukhari, S. Adnan H. A. S.
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.

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File URL: http://mpra.ub.uni-muenchen.de/8924/
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Publisher Info
Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 8924.

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Date of creation: 12 Nov 2005
Date of revision: 03 Apr 2006
Publication status: Published in Asian Journal of Information Technology 8.5(2006): pp. 866-871
Handle: RePEc:pra:mprapa:8924

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Related research
Keywords: GA; Crossover; Mutation and Fitness-proportional;

Find related papers by JEL classification:
C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation and Testing
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
B41 - Schools of Economic Thought and Methodology - - Economic Methodology - - - Economic Methodology
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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  1. Frank Schweitzer & Laxmidhar Behera & Heinz MãœHlenbein, 2002. "Evolution Of Cooperation In A Spatial Prisoner'S Dilemma," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 5(02), pages 269-299. [Downloadable!] (restricted)
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