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Effects of coupling strength and coupling schemes between interdependent lattices on the evolutionary ultimatum game

Lili Deng, Ying Lin, Cheng Wang, Ronghua Xu and Gengui Zhou

Physica A: Statistical Mechanics and its Applications, 2020, vol. 540, issue C

Abstract: Inspired by the fact that interdependent networks are more apt to describe real-world systems than isolated networks, this paper is devoted to the evolutionary ultimatum game on interdependent lattices. In particular, we aim to study the effects of the coupling strengths (denoted by α) on the emergence of fairness behaviours with two kinds of coupling schemes (i.e., symmetric coupling scheme and asymmetric coupling scheme). Here, the coupling strength determines the interdependency of utility between corresponding partners of the two interdependent lattices. By Monte Carlo simulations and the two-way analysis of variance, we quantitatively confirm that the coupling strength has a significant influence on the emergence of fairness. More specifically, the fairness level can be raised and facilitated when the coupling strength is introduced and increased (less than 1, i.e., with α<1) compared with the traditional case. By comparison, the symmetric coupling case with mutual information communication performs better than the asymmetric case with unidirectional information communication. Under the symmetric coupling scheme, we find some counterintuitive but interesting phenomena when the coupling strength is set to 1: the greedy strategy (pKeywords: Interdependent networks; Fairness; Ultimatum game; Coupling strength; Coupling schemes (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:540:y:2020:i:c:s0378437119317868

DOI: 10.1016/j.physa.2019.123173

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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