Cooperation risk and Nash equilibrium: Quantitative description for realistic players

G.M. Nakamura, G.S. Contesini and A.S. Martinez

Physica A: Statistical Mechanics and its Applications, 2019, vol. 515, issue C, 102-111

Abstract: The emergence of cooperation figures among the main goal of game theory in competitive-cooperative environments. Potential games have long been hinted as viable alternatives to study realistic player behavior. Here, we expand the potential games approach by taking into account the inherent risks of cooperation. We show the Public Goods game reduce to a Hamiltonian with one-body operators, with the correct Nash Equilibrium as the ground state. The inclusion of punishments to the Public Goods game reduces cooperation risks, creating two-body interactions with a rich phase diagram, in which phase transitions segregates cooperative from competitive regimes.

Keywords: Complex system; Game theory; Potential games; Phase transitions (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:515:y:2019:i:c:p:102-111

DOI: 10.1016/j.physa.2018.09.194

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