Imitation of success leads to cost of living mediated fairness in the Ultimatum Game

被引:2
作者
Chen, Yunong [1 ]
Belmonte, Andrew [2 ]
Griffin, Christopher [3 ]
机构
[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA
[2] Penn State Univ, Dept Math, Huck Inst Life Sci, University Pk, PA 16802 USA
[3] Penn State Univ, Appl Res Lab, University Pk, PA 16802 USA
基金
美国国家科学基金会;
关键词
Ultimatum game; Imitation; Mean-field approximation; PRISONERS-DILEMMA; COOPERATION; EMERGENCE; DYNAMICS; HERITABILITY; CHILDREN; MODEL;
D O I
10.1016/j.physa.2021.126328
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, we analyze a social imitation model that incorporates internal energy caches (e.g., food money savings), cost of living, death, and reproduction into the Ultimatum Game. We show that when imitation (and death) occurs, a natural correlation between selfishness and cost of living emerges. However, in all societies that do not collapse, non-Nash sharing strategies emerge as the de facto result of imitation. We explain these results by constructing a mean-field approximation of the internal energy cache informed by time-varying distributions extracted from experimental data. (C) 2021 Elsevier B.V. All rights reserved.
引用
收藏
页数:10
相关论文
共 43 条
[1]   THE EMERGENCE OF COOPERATION AMONG EGOISTS [J].
AXELROD, R .
AMERICAN POLITICAL SCIENCE REVIEW, 1981, 75 (02) :306-318
[2]   Kinetics of wealth and the Pareto law [J].
Boghosian, Bruce M. .
PHYSICAL REVIEW E, 2014, 89 (04)
[3]  
Bornstein G, 1998, EXPT EC, V1, P101, DOI [DOI 10.1023/A:1009914001822, 10.1023/A:1009914001822]
[4]  
Burnham T, 2017, GENDER PUNISHMENT CO
[5]   Heritability of cooperative behavior in the trust game [J].
Cesarini, David ;
Dawes, Christopher T. ;
Fowler, James H. ;
Johannesson, Magnus ;
Lichtenstein, Paul ;
Wallace, Bjorn .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2008, 105 (10) :3721-3726
[6]   Emergence of cooperation and organization in an evolutionary game [J].
Challet, D ;
Zhang, YC .
PHYSICA A, 1997, 246 (3-4) :407-418
[7]   Heterogenous allocation of chips promotes fairness in the Ultimatum Game [J].
Chen, Wei ;
Wu, Te ;
Li, Zhiwu ;
Wu, Naiqi ;
Wang, Long .
EPL, 2015, 109 (06)
[8]   Hierarchy is Detrimental for Human Cooperation [J].
Cronin, Katherine A. ;
Acheson, Daniel J. ;
Hernandez, Penelope ;
Sanchez, Angel .
SCIENTIFIC REPORTS, 2015, 5
[9]   Cooperator-driven and defector-driven punishments: How do they influence cooperation? [J].
Cui, Pengbi ;
Wu, Zhi-Xi ;
Zhou, Tao ;
Chen, Xiaojie .
PHYSICAL REVIEW E, 2019, 100 (05)
[10]   A Reactive-Darwinian Model for the ultimatum game: On the dominance of moderation in high diffusion [J].
da Silva, Roberto ;
Valverde, Pablo ;
Lamb, Luis C. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 80