English

Nash equilibrium with Sugeno payoff

General Topology 2015-03-17 v2

Abstract

This paper is devoted to Nash equilibrium for games in capacities. Such games with payoff expressed by Choquet integral were considered by Kozhan and Zarichnyi (Nash equilibria for games in capacities, Econ. Theory {\bf 35} (2008) 321--331) and existence of Nash equilibrium was proved. We also consider games in capacities but with expected payoff expressed by Sugeno integral. We prove existence of Nash equilibrium using categorical methods and abstract convexity theory.

Keywords

Cite

@article{arxiv.1502.07259,
  title  = {Nash equilibrium with Sugeno payoff},
  author = {Taras Radul},
  journal= {arXiv preprint arXiv:1502.07259},
  year   = {2015}
}

Comments

arXiv admin note: text overlap with arXiv:1003.0354 by other authors

R2 v1 2026-06-22T08:37:56.478Z