Convex interval games
type: Item
instance of: scholarly article
title: Convex interval games
zbMATH Open document ID: 1186.91024
DOI: 10.1155/2009/342089
published in: Journal of Applied Mathematics and Decision Sciences
publication date: 2009-11-23T00:00:00Z
full work available at URL: https://eudml.org/doc/227767
review text: Summary: Convex interval games are introduced and characterizations are given. Some economic situations leading to convex interval games are discussed. The Weber set and the Shapley value are defined for a suitable class of interval games and their relations with the interval core for convex interval games are established. The notion of population monotonic interval allocation scheme (pmias) in the interval setting is introduced and it is proved that each element of the Weber set of a convex interval game is extendable to such a pmias. A square operator is introduced which allows us to obtain interval solutions starting from the corresponding classical cooperative game theory solutions. It turns out that on the class of convex interval games the square Weber set coincides with the interval core.
Mathematics Subject Classification ID: 91A12
zbMATH DE Number: 5637291
zbMATH Keywords: convex interval games
zbMATH Keywords: Weber set
zbMATH Keywords: Shapley value
zbMATH Keywords: population monotonic interval allocation scheme
zbMATH Keywords: interval core
author: Sirma Zeynep Alparslan-Gok
author: Rodica Branzei
author: Stef Tijs
MaRDI profile type: Publication
OpenAlex ID: W3122767195
Wikidata QID: Q58646826
cites work: Cores of convex games
cites work: Q3994526
cites work: Large cores and exactness
cites work: Models in Cooperative Game Theory
cites work: Q5395223
cites work: Q3993509
cites work: Sequencing games
cites work: A problem of rights arbitration from the Talmud
cites work: Game theoretic analysis of a bankruptcy problem from the Talmud
cites work: A quadratic programming model for product configuration optimization
cites work: Cooperative games with stochastic payoffs
cites work: CONVEXITY IN STOCHASTIC COOPERATIVE SITUATIONS
cites work: Introduction to game theory
cites work: Q3489812
cites work: Q5817870
cites work: Population monotonic allocation schemes for cooperative games with transferable utility
cites work: Super-modularity: Applications to convex games and to the greedy algorithm for LP
cites work: Q4735058
cites work: Hypercubes and compromise values for cooperative fuzzy games.
description: scientific article; zbMATH DE number 5637291