A marginalistic value for monotonic set games

Harry Aarts; Yukihiko Funaki; Kees Hoede

doi:10.1007/BF01262515

A marginalistic value for monotonic set games

Harry Aarts, Yukihiko Funaki, Kees Hoede

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

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Abstract

In this paper we characterize a value, called a marginalistic value, for monotonic set games, which can be considered to be the analog of the Shapley value for TU-games. For this characterization we use a modification of the strong monotonicity axiom of Young, but the proof is rather different from his.

Original language	English
Pages (from-to)	97-112
Number of pages	16
Journal	International journal of game theory
Volume	26
Issue number	1
DOIs	https://doi.org/10.1007/BF01262515
Publication status	Published - 1997

Keywords

Cooperative game
Set game
Value
Shapley value
Monotonicity
Marginal contribution

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10.1007/BF01262515

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title = "A marginalistic value for monotonic set games",

abstract = "In this paper we characterize a value, called a marginalistic value, for monotonic set games, which can be considered to be the analog of the Shapley value for TU-games. For this characterization we use a modification of the strong monotonicity axiom of Young, but the proof is rather different from his.",

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T1 - A marginalistic value for monotonic set games

AU - Aarts, Harry

AU - Funaki, Yukihiko

AU - Hoede, Kees

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AB - In this paper we characterize a value, called a marginalistic value, for monotonic set games, which can be considered to be the analog of the Shapley value for TU-games. For this characterization we use a modification of the strong monotonicity axiom of Young, but the proof is rather different from his.

KW - Cooperative game

KW - Set game

KW - Value

KW - Shapley value

KW - Monotonicity

KW - Marginal contribution

U2 - 10.1007/BF01262515

DO - 10.1007/BF01262515

M3 - Article

SN - 0020-7276

VL - 26

SP - 97

EP - 112

JO - International journal of game theory

JF - International journal of game theory

IS - 1

ER -

A marginalistic value for monotonic set games

Abstract

Keywords

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