Effect of memory, intolerance, and second-order reputation on cooperation

Xia, C. ; Gracia-Lázaro, Carlos (Universidad de Zaragoza) ; Moreno, Yamir (Universidad de Zaragoza)

Resumen: The understanding of cooperative behavior in social systems has been the subject of intense research over the past few decades. In this regard, the theoretical models used to explain cooperation in human societies have been complemented with a growing interest in experimental studies to validate the proposed mechanisms. In this work, we rely on previous experimental findings to build a theoretical model based on two cooperation driving mechanisms: second-order reputation and memory. Specifically, taking the donation game as a starting point, the agents are distributed among three strategies, namely, unconditional cooperators, unconditional defectors, and discriminators, where the latter follow a second-order assessment rule: shunning, stern judging, image scoring, or simple standing. A discriminator will cooperate if the evaluation of the recipient''s last actions contained in his memory is above a threshold of (in)tolerance. In addition to the dynamics inherent to the game, another imitation dynamics, involving much longer times (generations), is introduced. The model is approached through a mean-field approximation that predicts the macroscopic behavior observed in Monte Carlo simulations. We found that, while in most second-order assessment rules, intolerance hinders cooperation, it has the opposite (positive) effect under the simple standing rule. Furthermore, we show that, when considering memory, the stern judging rule shows the lowest values of cooperation, while stricter rules show higher cooperation levels.

Idioma: Inglés

DOI: 10.1063/5.0009758

Año: 2020

Publicado en: CHAOS 30, 6 (2020), 063122
ISSN: 1054-1500

Factor impacto JCR: 3.642 (2020)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 4 / 55 = 0.073 (2020) - Q1 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 13 / 265 = 0.049 (2020) - Q1 - T1

Factor impacto SCIMAGO: 0.97 - Applied Mathematics (Q1) - Mathematical Physics (Q1) - Statistical and Nonlinear Physics (Q1) - Physics and Astronomy (miscellaneous) (Q1) - Medicine (miscellaneous) (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA-FEDER/E36-17R
Financiación: info:eu-repo/grantAgreement/ES/DGA/UZ-I-2015-022-PIP
Financiación: info:eu-repo/grantAgreement/ES/MINECO-FEDER/FIS2017-87519-P

Tipo y forma: Artículo (Versión definitiva)

Área (Departamento): Área Física Teórica (Dpto. Física Teórica)