Description

• Title:
  Nash equilibrium for binary convexities
• Creator:
  Radul, Taras
• Description:
  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.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.10.05
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 48, No 2 (December 2016); 555 - 565;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.059/9871 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.059/9872
• Subject:
  Nash equilibrium;
  game in capacities;
  Sugeno integral;
  binary convexity;
  18C15;
  52A01;
  54B30;
  54H25;
  91A10
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.059
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other