Kalai-Smorodinsky bargaining solution equilibria
type: Item
instance of: scholarly article
title: Kalai-Smorodinsky bargaining solution equilibria
zbMATH Open document ID: 1194.91031
published in: Journal of Optimization Theory and Applications
publication date: 2010-07-24T00:00:00Z
full work available at URL: wp235.pdf
review text: The paper deals with a specific type of strategic games with multicriterial evaluation of results, interpreted as organizational problem where each player represents a group of individual agents having their particular preferences. The classical model of such games is modified in the way supporting the independence of the solution on irrelevant alternatives. The main attention is focused on the stable situations called Kalai-Smorodinsky bargaining solution, and the main results regard the existence of such solution for a general class of disagreement points including so called minimal expectation disagreement point. It is also shown that the Kalai-Smorodinsky bargaining solution and perfect equilibria have non-empty intersection, better specifying the optimality and equilibrium than the previous solution concepts.
reviewed by: Milan Mareš
Mathematics Subject Classification ID: 91A10
Mathematics Subject Classification ID: 90C29
zbMATH DE Number: 5760460
zbMATH Keywords: strategic games
zbMATH Keywords: multicriterial game
zbMATH Keywords: Kalai-Smorodinsky bargaining solution
zbMATH Keywords: refinement power of equilibrium
zbMATH Keywords: equilibrium of a game
author: Giuseppe De Marco
author: Jacqueline Morgan
MaRDI profile type: Publication
OpenAlex ID: W2066267043
cites work: Other Solutions to Nash's Bargaining Problem
cites work: Reexamination of the perfectness concept for equilibrium points in extensive games
cites work: A perfectness concept for multicriteria games
cites work: Essential components of the set of weakly Pareto-Nash equilibrium points
cites work: The Bargaining Problem
cites work: Q5817874
cites work: Independence of irrelevant alternatives, and solutions to Nash's bargaining problem
cites work: Existence of a Pareto equilibrium
cites work: Approximations and well-posedness in multicriteria games
cites work: A REFINEMENT CONCEPT FOR EQUILIBRIA IN MULTICRITERIA GAMES VIA STABLE SCALARIZATIONS
cites work: Q3260984
cites work: Q3223417
cites work: Q4296479
cites work: Preservation of Convergence of Convex Sets and Functions in Finite Dimensions
cites work: Set-valued analysis
cites work: Convergence of minimal and approximate minimal elements of sets in partially ordered vector spaces
cites work: Q4298951
DOI: 10.1007/S10957-010-9697-Y
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description: scientific article; zbMATH DE number 5760460