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Self-Covariant Solutions To Cooperative Games With Transferable Utilities

Elena Yanovskaya

HSE Working papers from National Research University Higher School of Economics

Abstract: A weakening of covariance property for solutions of cooperative games with transferable utilities self-covariance is dened. Self-covariant solutions are positively homogenous and satisfy a "restricted"translation covariance such that feasible shifts are only the solution vectors themselves and their multipliers. A description of all nonempty, ecient, anonymous, self-covariant, and single-valued solution for the class of two-person TU games is given. Among them the solutions admitting consistent extensions in the DavisMaschler sense are found. They are the equal share solution, the standard solution, and the constrained egalitarian solution for superadditive twoperson games. Characterizations of consistent extensions (Thomson 1996) of these solutions to the class of all TU games are given.

Keywords: cooperative game with transferable utilities; solution; self-covariance; consistent extensions; constrained egalitarianism. (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Pages: 25 pages
Date: 2014
New Economics Papers: this item is included in nep-gth
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Published in WP BRP Series: Economics / EC, December 2014, pages 1-25

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Persistent link: https://EconPapers.repec.org/RePEc:hig:wpaper:85/ec/2014

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