Defense mechanisms of empathetic players in the spatial ultimatum game

A. Szolnoki, Matjaž Perc, G. Szabó

Research output: Contribution to journalArticle

130 Citations (Scopus)

Abstract

Experiments on the ultimatum game have revealed that humans are remarkably fond of fair play. When asked to share an amount of money, unfair offers are rare and their acceptance rate small. While empathy and spatiality may lead to the evolution of fairness, thus far considered continuous strategies have precluded the observation of solutions that would be driven by pattern formation. Here we introduce a spatial ultimatum game with discrete strategies, and we show that this simple alteration opens the gate to fascinatingly rich dynamical behavior. In addition to mixed stationary states, we report the occurrence of traveling waves and cyclic dominance, where one strategy in the cycle can be an alliance of two strategies. The highly webbed phase diagram, entailing continuous and discontinuous phase transitions, reveals hidden complexity in the pursuit of human fair play.

Original languageEnglish
Article number078701
JournalPhysical Review Letters
Volume109
Issue number7
DOIs
Publication statusPublished - Aug 17 2012

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games
traveling waves
acceptability
phase diagrams
occurrences
cycles

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Defense mechanisms of empathetic players in the spatial ultimatum game. / Szolnoki, A.; Perc, Matjaž; Szabó, G.

In: Physical Review Letters, Vol. 109, No. 7, 078701, 17.08.2012.

Research output: Contribution to journalArticle

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