## Topological Methods in Nonlinear Analysis

### Nash equilibrium for binary convexities

#### Abstract

This paper is devoted to Nash equilibrium for games in capacities. Such games with payoff expressed by the Choquet integral were considered by Kozhan and Zarichnyi (2008) and existence of Nash equilibrium was proved. We also consider games in capacities but with expected payoff expressed by the Sugeno integral. We prove existence of Nash equilibrium in a general context of abstract binary (non-linear) convexity and then we obtain an existence theorem for games in capacities.

#### Article information

Source
Topol. Methods Nonlinear Anal., Volume 48, Number 2 (2016), 555-565.

Dates
First available in Project Euclid: 21 December 2016

Permanent link to this document
https://projecteuclid.org/euclid.tmna/1482289229

Digital Object Identifier
doi:10.12775/TMNA.2016.059

Mathematical Reviews number (MathSciNet)
MR3642773

Zentralblatt MATH identifier
06712733

#### Citation

Radul, Taras. Nash equilibrium for binary convexities. Topol. Methods Nonlinear Anal. 48 (2016), no. 2, 555--565. doi:10.12775/TMNA.2016.059. https://projecteuclid.org/euclid.tmna/1482289229

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