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CoalitionalZP-Equilibrium in Games and its Existence

Rabia Nessah (), Moussa Larbani () and Tarik Tazdaït
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Moussa Larbani: Department of Business Administration, IIUM University Jalan Gombak, 53100, Kuala Lumpur, Malaysia

International Game Theory Review (IGTR), 2015, vol. 17, issue 03, 1-18

Abstract: We introduce a solution concept for games in normal form with undetermined parameters, coalitionalZP-equilibrium, based on the notions ofZ-equilibrium of [Zhukovskii and Chikrii [1994] Linear quadratic differential games, Kiev, Naoukova Doumka] andZS-equilibrium of [Larbani and Lebbah [1999] A concept of equilibrium for a game under uncertainity.Europ. J. Oper. Res.117, 145–156]. For each coalition structure,ZP-equilibrium ensures both the stability of the partition and equilibrium of coalitional strategies (in Pareto sense). We show that under some quasiconcavity conditions on payoff functions, the coalitionalZP-equilibrium exists in compact, convex and continuous normal form games involving undetermined parameters.

Keywords: Normal form game; coalitionalZP-equilibrium; undetermined parameter; Multiobjective mathematical programming (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2015
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Working Paper: Coalitional ZP-Equilibrium in Games and its Existence (2015)
Working Paper: Coalitional ZP-Equilibrium in Games and Its Existence (2013)
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DOI: 10.1142/S0219198915500024

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