TY - JOUR
T1 - Imitation of success leads to cost of living mediated fairness in the Ultimatum Game
AU - Chen, Yunong
AU - Belmonte, Andrew
AU - Griffin, Christopher
N1 - Funding Information:
CG and AB were supported in part by the National Science Foundation under grant DMS-1814876 . The authors would like to thank S. Rajtmajer for her feedback on earlier drafts. CG thanks R. Bailey (USN) who ran the very first simulation of this phenomena in MATLAB while at the United States Naval Academy.
Funding Information:
CG and AB were supported in part by the National Science Foundation under grant DMS-1814876. The authors would like to thank S. Rajtmajer for her feedback on earlier drafts. CG thanks R. Bailey (USN) who ran the very first simulation of this phenomena in MATLAB while at the United States Naval Academy.
Publisher Copyright:
© 2021 Elsevier B.V.
PY - 2021/12
Y1 - 2021/12
N2 - 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.
AB - 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.
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U2 - 10.1016/j.physa.2021.126328
DO - 10.1016/j.physa.2021.126328
M3 - Article
AN - SCOPUS:85113716687
SN - 0378-4371
VL - 583
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
M1 - 126328
ER -