The Shapley value for the probability game

Dongshuang Hou; Genjiu Xu; Panfei Sun; Theo Driessen

doi:10.1016/j.orl.2018.06.004

The Shapley value for the probability game

Dongshuang Hou^*, Genjiu Xu, Panfei Sun, Theo Driessen

^*Corresponding author for this work

Discrete Mathematics and Mathematical Programming

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

5 Citations (Scopus)

Abstract

The main goal of this paper is to introduce the probability game. On one hand, we analyze the Shapley value by providing an axiomatic characterization. We propose the so-called independent fairness property, meaning that for any two players, the player with larger individual value gets a larger portion of the total benefit. On the other, we use the Shapley value for studying the profitability of merging two agents.

Original language	English
Pages (from-to)	457-461
Number of pages	5
Journal	Operations research letters
Volume	46
Issue number	4
DOIs	https://doi.org/10.1016/j.orl.2018.06.004
Publication status	Published - Jul 2018

Keywords

Independent fairness property
Probability game
Shapley value
n/a OA procedure

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10.1016/j.orl.2018.06.004

Cite this

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KW - Probability game

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KW - n/a OA procedure

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The Shapley value for the probability game

Abstract

Keywords

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