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

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

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 (p

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  • Deng, Lili & Lin, Ying & Wang, Cheng & Xu, Ronghua & Zhou, Gengui, 2020. "Effects of coupling strength and coupling schemes between interdependent lattices on the evolutionary ultimatum game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    • Handle: RePEc:eee:phsmap:v:540:y:2020:i:c:s0378437119317868
    DOI: 10.1016/j.physa.2019.123173
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    Cited by:

    1. Deng, Lili & Wang, Hongsi & Wang, Rugen & Xu, Ronghua & Wang, Cheng, 2024. "The adaptive adjustment of node weights based on reputation and memory promotes fairness," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    2. Zhang, Yanling & Yang, Shuo & Chen, Xiaojie & Bai, Yanbing & Xie, Guangming, 2023. "Reputation update of responders efficiently promotes the evolution of fairness in the ultimatum game," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    3. Deng, Lili & Zhang, Xingxing & Wang, Cheng, 2021. "Coevolution of spatial ultimatum game and link weight promotes fairness," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    4. Li, Gang & Sun, Xiaochen, 2021. "Evolutionary game on a growing multilayer network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    5. Liu, Yaojun & Liu, Xingwen, 2024. "Promotion of cooperation in evolutionary snowdrift game with heterogeneous memories," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).

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