ON LOCAL PRISONER'S DILEMMA GAME WITH PARETO UPDATING RULE-Reference-Cited by-同舟云学术

ON LOCAL PRISONER'S DILEMMA GAME WITH PARETO UPDATING RULE

Published:2000-12 Issue:08 Volume:11 Page:1539-1544
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

AHMED E.¹²,ELGAZZAR A. S.³

Affiliation:

1. Mathematics Department, Faculty of Science, Al-Ain P. O. Box 17551, United Arab Emirates

2. Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

3. Mathematics Department, Faculty of Education, El-Arish 45111, Egypt

Abstract

Prisoner's Dilemma games with two and three strategies are studied. The corresponding replicator equations, their steady states and their asymptotic stability are discussed. Local Prisoner's Dilemma games are studied using Pareto optimality. As in the case with Nash updating rule, the existence of tit for tat strategy is crucial to imply cooperation even in one dimension. Pareto updating implies less erratic behavior since the steady state configurations are mostly fixed points or at most 2-cycle. Finally, Prisoner's Dilemma game is simulated on small-world networks which are closer to real systems than regular lattices. There are no significant changes compared to the results of the regular lattice.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183100001334

Reference6 articles.

1. Evolutionary stable strategies and game dynamics

2. Spatial evolutionary prisoner’s dilemma game with three strategies and external constraints

3. Collective dynamics of ‘small-world’ networks

4. Renormalization group analysis of the small-world network model

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