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Polynomial calculation of the Shapley value based on sampling

Castro, Javier and Gómez, Daniel and Tejada Cazorla, Juan Antonio (2009) Polynomial calculation of the Shapley value based on sampling. Computers and Operations Research, 36 (5). pp. 1726-1730. ISSN 0305-0548

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In this paper we develop a polynomial method based on sampling theory that can be used to estimate the Shapley value (or any semivalue) for cooperative games. Besides analyzing the complexity problem, we examine some desirable statistical properties of the proposed approach and provide some computational results.

Item Type:Article
Uncontrolled Keywords:Game theory; Shapley value; Sampling algorithm
Subjects:Sciences > Mathematics > Operations research
ID Code:15904

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Last Modified:06 Feb 2014 10:34

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