Research Article

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

Volume: 6 Number: 2 July 31, 2023
EN

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

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.

Keywords

Supporting Institution

Eskisehir Technical University

References

  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, Routledge (2015).
  8. R. Hardin, Collective action, RFF Press (2015).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

July 31, 2023

Submission Date

March 2, 2023

Acceptance Date

July 28, 2023

Published in Issue

Year 2023 Volume: 6 Number: 2

APA
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, 6(2), 142-160. https://doi.org/10.33773/jum.1259124
AMA
1.Mehrad AA, Düzce SA. IN THE MULTIPLAYER PRISONER’S DILEMMA, A PLAYER EMPLOYING A ZERO-DETERMINANT STRATEGY SECURES ADVANTAGEOUS OUTCOMES FOR THE ENTIRE GROUP. JUM. 2023;6(2):142-160. doi:10.33773/jum.1259124
Chicago
Mehrad, Ahmad Ali, and Serkan Ali Düzce. 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 6 (2): 142-60. https://doi.org/10.33773/jum.1259124.
EndNote
Mehrad AA, Düzce SA (July 1, 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 6 2 142–160.
IEEE
[1]A. A. Mehrad and S. A. Düzce, “IN THE MULTIPLAYER PRISONER’S DILEMMA, A PLAYER EMPLOYING A ZERO-DETERMINANT STRATEGY SECURES ADVANTAGEOUS OUTCOMES FOR THE ENTIRE GROUP”., JUM, vol. 6, no. 2, pp. 142–160, July 2023, doi: 10.33773/jum.1259124.
ISNAD
Mehrad, Ahmad Ali - Düzce, Serkan Ali. “IN THE MULTIPLAYER PRISONER’S DILEMMA, A PLAYER EMPLOYING A ZERO-DETERMINANT STRATEGY SECURES ADVANTAGEOUS OUTCOMES FOR THE ENTIRE GROUP”. Journal of Universal Mathematics 6/2 (July 1, 2023): 142-160. https://doi.org/10.33773/jum.1259124.
JAMA
1.Mehrad AA, Düzce SA. IN THE MULTIPLAYER PRISONER’S DILEMMA, A PLAYER EMPLOYING A ZERO-DETERMINANT STRATEGY SECURES ADVANTAGEOUS OUTCOMES FOR THE ENTIRE GROUP. JUM. 2023;6:142–160.
MLA
Mehrad, Ahmad Ali, and Serkan Ali Düzce. “IN THE MULTIPLAYER PRISONER’S DILEMMA, A PLAYER EMPLOYING A ZERO-DETERMINANT STRATEGY SECURES ADVANTAGEOUS OUTCOMES FOR THE ENTIRE GROUP”. Journal of Universal Mathematics, vol. 6, no. 2, July 2023, pp. 142-60, doi:10.33773/jum.1259124.
Vancouver
1.Ahmad Ali Mehrad, Serkan Ali Düzce. IN THE MULTIPLAYER PRISONER’S DILEMMA, A PLAYER EMPLOYING A ZERO-DETERMINANT STRATEGY SECURES ADVANTAGEOUS OUTCOMES FOR THE ENTIRE GROUP. JUM. 2023 Jul. 1;6(2):142-60. doi:10.33773/jum.1259124