PEER GROUP SITUATIONS AND GAMES WITH FUZZY UNCERTAINTY

Özcan İ., ALPARSLAN GÖK S. Z., Weber G.

Journal of Industrial and Management Optimization, vol.20, no.1, pp.428-438, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 1
  • Publication Date: 2024
  • Doi Number: 10.3934/jimo.2023084
  • Journal Name: Journal of Industrial and Management Optimization
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Compendex, Computer & Applied Sciences, MathSciNet, zbMATH
  • Page Numbers: pp.428-438
  • Keywords: auction, cooperative game theory, fuzzy sets, operations research, Peer group games
  • Middle East Technical University Affiliated: Yes

Abstract

The social arrangement of organizations determines the potential possibilities of all group of agents in several economic and Operations Research (OR) situations. In this paper, a class of cooperative games in which agents with potential individual possibilities are connected via a hierarchy within an organization is studied. The leader, the agent, and any intermediate agents in the specified hierarchy constitute an important group refering to a peer group and form peer group situations. We consider uncertanty in payoffs in peer group situations. In the sequel peer group settings with fuzzy uncertainty are proposed. Further the associated games are modeled and some gametheoretical solution concepts are provided Futhermore, an application related with an auction situation is given. Finally, we conclude with some remarks and future work.