Exhaustive classification of stochastic cooperative-level dependent strategies in iterated prisoner’s dilemma

C. Xu and P.M. Hui

Chaos, Solitons & Fractals, 2025, vol. 192, issue C

Abstract: We propose an infinitely iterated prisoner’s dilemma in which the stochastic strategies react to a global cooperative level. The cooperative level is a result of the collective actions of the agents, not only of the opponents. The stochastic strategies are represented by (y,p,q), where p (q) is the probability of taking a cooperative action when the cooperative level is below (equal or above) a threshold mc, and y is an initial cooperative probability. A relevant situation, among others, is that of budding yeast growing on sucrose, where the monosaccharide created by some yeasts are shared by those in the neighborhood. The decision on whether to create (to cooperate) monosaccharide or not (to defect) is dependent on the monosaccharide concentration and thus can be modeled by stochastic cooperative-level dependent strategies. We classify such stochastic strategies exhaustively for different values of mc. All Nash equilibria are identified and strategies that are stable against invasion by selection pressure are characterized. The results are helpful in understanding the final winning strategies emerged in competing systems in which actions are decided based on the cooperative level.

Keywords: Iterated prisoner’s dilemma; Classification of stochastic strategies; Nash equilibria (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077924015364
Full text for ScienceDirect subscribers only

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:eee:chsofr:v:192:y:2025:i:c:s0960077924015364

DOI: 10.1016/j.chaos.2024.115984

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().