Journals / Journal of Universal Mathematics / 2023 / Cilt: 6 Sayı: 2

IN THE MULTIPLAYER PRISONER'S DILEMMA, A PLAYER EMPLOYING A ZERO-DETERMINANT STRATEGY SECURES ADVANTAGEOUS OUTCOMES FOR THE ENTIRE GROUP.

Pages
142–160
Publication Date
2023-07-31
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this study, we examine the interaction between an individual and a group of population and look for the Zero-Determinant strategies in the case of multiplayer prisoner's dilemma game.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:When there is an interaction between the level of choice of an individual and a group, there is no favorite but to refer to the problem of a multi-member prisoner's dilemma game.
📊
Key Findings & Data:We conducted this study to find out how people cooperate in a multiplayer interaction in the prisoner's dilemma game.
💡
Conclusion & Impact:In this study, we examine the interaction between an individual and a group of population and look for the Zero-Determinant strategies in the case of multiplayer prisoner's dilemma game.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Interaction · Cooperation · Evolution of Cooperation

Abstract

When there is an interaction between the level of choice of an individual and a group, there is no favorite but to refer to the problem of a multi-member prisoner's dilemma game. Also in real life, there is a widespread need for cooperation or defection amongst a group of population in the matter of choice. The problem of multiplayer prisoner's dilemma is widely used in real life. We conducted this study to find out how people cooperate in a multiplayer interaction in the prisoner's dilemma game. In this study, we examine the interaction between an individual and a group of population and look for the Zero-Determinant strategies in the case of multiplayer prisoner's dilemma game.

🔖

Cite This Article

MEHRAD, A. A., DÜZCE, S. A. (2023). IN THE MULTIPLAYER PRISONER'S DILEMMA, A PLAYER EMPLOYING A ZERO-DETERMINANT STRATEGY SECURES ADVANTAGEOUS OUTCOMES FOR THE ENTIRE GROUP.. Journal of Universal Mathematics, Cilt: 6 Sayı: 2, 142–160. https://ajindex.com/articles/957548

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (19)

  1. E. Akin, Stable cooperative solutions for the iterated prisoner’s dilemma, arXiv preprint arXiv:1211.0969 (2012).
  2. E. Akin, The iterated prisoner’s dilemma: good strategies and their dynamics, Ergodic Theory, Advances in Dynamical Systems, pp.77-107 (2016).
  3. R. Axelrod, WD. Hamilton, The evolution of cooperation, science, vol.211, N.4489, pp.1390-1396 (1981).
  4. R. Boyd, PJ. Richerson. The evolution of reciprocity in sizable groups, Journal of theoretical Biology, Vol.132, No.3, pp.337-356 (1988).
  5. A.K. Dixit, S. Susan, Games of strategy: Fourth international student edition. WW Norton & Company, (2015).
  6. C.S. Gokhale, A. Traulsen, Evolutionary games in the multiverse. Proceedings of the National Academy of Sciences, Vol.107, No.12, pp.5500-5504 (2010).
  7. G. Hardin, The tragedy of the commons, In Thinking About the Environment, pp.173-178,
  8. Routledge (2015).
  9. R. Hardin, Collective action, RFF Press (2015).
  10. C. Hauert, HG. Schuster, Effects of increasing the number of players and memory size in the iterated Prisoner’s Dilemma: a numerical approach, Proceedings of the Royal Society of London. Series B: Biological Sciences, Vol.264, No.1381, pp.513-519 (1997).
  11. C. Hilbe, B. Wu, A. Traulsen, MA. Nowak, Cooperation and control in multiplayer social dilemmas, Proceedings of the National Academy of Sciences, Vol.111, No.46, pp.16425-16430 (2014).
  12. C. Hilbe, A. Traulsen, T. R¨ohl, M. Milinski, Democratic decisions establish stable authorities that overcome the paradox of second-order punishment. Proceedings of the National Academy of Sciences, Vol.111, No.2, pp.752-756 (2014).
  13. C. Hilbe, MA. Nowak, A. Traulsen, Adaptive dynamics of extortion and compliance. PloS one, Vol.8, No.11, p.e77886, (2013).
  14. C. Hilbe, MA. Nowak, K. Sigmund, Evolution of extortion in iterated prisoner’s dilemma games. Proceedings of the National Academy of Sciences, Vol.110, No.17, pp.6913-6918 (2013).
  15. C. Hilbe, A. Traulsen, K. Sigmund, Partners or rivals? Strategies for the iterated prisoner’s dilemma. Games and economic behavior, Vol.92, pp.41-52 (2015).
  16. L.A. Imhof, MA. Nowak, Evolutionary game dynamics in a Wright-Fisher process, Journal of mathematical biology, Vol.52, pp.667-681 (2006).
  17. M. Kimura, The neutral theory of molecular evolution, Cambridge University Press, (1983).
  18. R.D. Luce, H. Raiffa, Games and decisions: Introduction and critical survey, Courier Corporation, (1989).
  19. M. Olson Jr, The Logic of Collective Action: Public Goods and the Theory of Groups, with a new preface and appendix, Vol. 12