Zero-determinant strategies in infinitely repeated three-player prisoner's dilemma game

Mohammad A. Taha and Ayman Ghoneim

Chaos, Solitons & Fractals, 2021, vol. 152, issue C

Abstract: The “iterated prisoner's dilemma” (IPD) game is considered to be a well-known model for studying the evolution of cooperative manner among rational individuals over the long term. Analytical studies in IPD mostly focus on the two-player IPD game since the game's relations and dynamics become more complicated when increasing players' numbers. Here, we extend investigating the “Zero-Determinant” (ZD) strategies to the symmetric infinitely repeated IPD game involving three players with two actions for each player. We propose two simultaneous models of the IPD game with three players to investigate ZD strategies. Further, we analytically extract the boundaries of the equalizer and extortion ZD strategies in both proposed models and provide numerical examples demonstrating such boundaries.

Keywords: Iterated prisoner's dilemma game; Three-player game; Zero-determinant strategies; Extortion strategies; Equalizer strategies (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077921007621
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:152:y:2021:i:c:s0960077921007621

DOI: 10.1016/j.chaos.2021.111408

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. ().