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

Yunong Chen, Andrew Belmonte and Christopher Griffin

Physica A: Statistical Mechanics and its Applications, 2021, vol. 583, issue C

Abstract: 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.

Keywords: Ultimatum game; Imitation; Mean-field approximation (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:583:y:2021:i:c:s0378437121006014

DOI: 10.1016/j.physa.2021.126328

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