2015/02/25 by Taras Radul, Radul, Taras
Economics, Econometrics and Finance · #Economic theories and models #FOS: Mathematics #Game Theory and Voting Systems #General Topology (math.GN)
paper · pdf · doi:10.48550/arxiv.1502.07259
openalex publication_date 2015/02/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.