Modeling values for TU-games using generalized versions of consistency, standardness and the null player property

Tadeusz Radzik; Theo Driessen

doi:10.1007/s00186-015-0525-x

Modeling values for TU-games using generalized versions of consistency, standardness and the null player property

Tadeusz Radzik, Theo Driessen

Discrete Mathematics and Mathematical Programming

Research output: Contribution to journal › Article › Academic › peer-review

20 Citations (Scopus)

81 Downloads (Pure)

Abstract

In the paper we discuss three general properties of values of TU-games: λ-standardness, general probabilistic consistency and some modifications of the null player property. Necessary and sufficient conditions for different families of efficient, linear and symmetric values are given in terms of these properties. It is shown that the results obtained can be used to get new axiomatizations of several classical values of TU-games.

Original language	Undefined
Pages (from-to)	179-205
Number of pages	28
Journal	Mathematical methods of operations research
Volume	83
Issue number	2
DOIs	https://doi.org/10.1007/s00186-015-0525-x
Publication status	Published - Apr 2016

Keywords

The Shapley value
The equal split value
The per-capita value
The solidarity value
Probabilistic consistency
IR-100400
λ-Standardness
Null player axiom
TU game
Consistency
METIS-316922
EWI-27006

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10.1007/s00186-015-0525-x

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Cite this

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abstract = "In the paper we discuss three general properties of values of TU-games: λ-standardness, general probabilistic consistency and some modifications of the null player property. Necessary and sufficient conditions for different families of efficient, linear and symmetric values are given in terms of these properties. It is shown that the results obtained can be used to get new axiomatizations of several classical values of TU-games.",

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KW - The solidarity value

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