Characterizations of Three Linear Values for TU Games by Associated Consistency: Simple Proofs Using the Jordan Normal Form

DOI10.1142/S0219198916500031zbMath1372.91004OpenAlexW2163754384WikidataQ113776914 ScholiaQ113776914MaRDI QIDQ2802699

Philippe Solal, Sylvain Béal, Eric Rémila

Publication date: 27 April 2016

Published in: International Game Theory Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219198916500031

zbMATH Keywords

Shapley valueJordan normal formassociated consistencyequal allocation of nonseparable costscenter of imputation set

Mathematics Subject Classification ID

Cooperative games (91A12) Canonical forms, reductions, classification (15A21)

Related Items (4)

A dynamic transfer scheme deriving from the dual similar associated game ⋮ Procedural interpretation and associated consistency for the Egalitarian Shapley values ⋮ Necessary players, myerson fairness and the equal treatment of equals ⋮ New Characterizations of the Discounted Shapley Values

Cites Work

• Unnamed Item
• Unnamed Item
• A matrix approach to associated consistency of the Shapley value for games in generalized characteristic function form
• Matrix approach to dual similar associated consistency for the Shapley value
• Coincidence of and collinearity between game theoretic solutions
• Cooperative games with coalition structures
• Associated consistency and Shapley value
• Associated consistency characterization of two linear values for TU games by matrix approach
• Matrix analysis for associated consistency in cooperative game theory
• A MATRIX APPROACH TO THE ASSOCIATED CONSISTENCY WITH AN APPLICATION TO THE SHAPLEY VALUE
• Graphs and Cooperation in Games

This page was built for publication: Characterizations of Three Linear Values for TU Games by Associated Consistency: Simple Proofs Using the Jordan Normal Form