EconPapers    
Economics at your fingertips  
 

ON LOCAL PRISONER'S DILEMMA GAME WITH PARETO UPDATING RULE

E. Ahmed and A. S. Elgazzar ()
Additional contact information
E. Ahmed: Mathematics Department, Faculty of Science, Al-Ain P. O. Box 17551, United Arab Emirates;
A. S. Elgazzar: Mathematics Department, Faculty of Education, El-Arish 45111, Egypt

International Journal of Modern Physics C (IJMPC), 2000, vol. 11, issue 08, 1539-1544

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.

Keywords: Local Prisoner's Dilemma Game; Nash Optimality; Pareto Optimality; Small-World Networks (search for similar items in EconPapers)
Date: 2000
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183100001334
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:11:y:2000:i:08:n:s0129183100001334

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183100001334

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().

 
Page updated 2025-03-20
Handle: RePEc:wsi:ijmpcx:v:11:y:2000:i:08:n:s0129183100001334