The Robustness of a Twisted Prisoner’s Dilemma for Incorporating Memory and Unlikeliness of Occurrence

Akihiro Takahara, Tomoko Sakiyama

2024

Abstract

In classical game theory, because players having Defector (D) strategy tend to survive, many studies have been conducted to determine the survival of players with Cooperator (C) strategy. Recently, we have tackled the problem of the evolution of cooperators by proposing a new model called the twisted prisoner’s dilemma (TPD) model. In the proposed model, each player is given a memory length. In situations where neighbors had the same strategy as a player and a higher score than that of the player, the player updated their strategy by ignoring the classical SPD update rule. This new strategy was difficult to choose before the update. Consequently, cooperators could survive even if their memory length was small. In this study, by focusing on the system sizes, performance of the TPD model was determined. Similar results were obtained for various system sizes, except when the system size was extremely small.

Paper Citation

in Harvard Style

Takahara A. and Sakiyama T. (2024). The Robustness of a Twisted Prisoner’s Dilemma for Incorporating Memory and Unlikeliness of Occurrence. In Proceedings of the 9th International Conference on Complexity, Future Information Systems and Risk - Volume 1: COMPLEXIS; ISBN 978-989-758-698-9, SciTePress, pages 13-16. DOI: 10.5220/0012537800003708

in Bibtex Style

@conference{complexis24,
author={Akihiro Takahara and Tomoko Sakiyama},
title={The Robustness of a Twisted Prisoner’s Dilemma for Incorporating Memory and Unlikeliness of Occurrence},
booktitle={Proceedings of the 9th International Conference on Complexity, Future Information Systems and Risk - Volume 1: COMPLEXIS},
year={2024},
pages={13-16},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0012537800003708},
isbn={978-989-758-698-9},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 9th International Conference on Complexity, Future Information Systems and Risk - Volume 1: COMPLEXIS
TI - The Robustness of a Twisted Prisoner’s Dilemma for Incorporating Memory and Unlikeliness of Occurrence
SN - 978-989-758-698-9
AU - Takahara A.
AU - Sakiyama T.
PY - 2024
SP - 13
EP - 16
DO - 10.5220/0012537800003708
PB - SciTePress