The Owen and Banzhaf-Owen values revisited

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4. Optimization 2015.pdf (428.09 KB)
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URI: https://hdl.handle.net/10347/38705
ISSN: 0233-1934
ISSN: 1029-4945
DOI: 10.1080/02331934.2015.1091823

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2015

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Taylor and Francis
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Abstract

In this work, we consider games with coalitional structure. We afford two new parallel axiomatic characterizations for the well-known Owen and Banzhaf–Owen coalitional values. Two properties are common to both characterizations: a property of balanced contributions and a property of neutrality. The results prove that the main difference between these two coalitional values is that the former is efficient, while the latter verifies a property of 2-efficiency.

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This is an Accepted Manuscript of an article published by Taylor & Francis in Optimization on 7 OOct 2015, available at: https://doi.org/10.1080/02331934.2015.1091823

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Cooperative game| Shapley value| Banzhaf value| Coalition structure| Coalitional value| Balanced contributions

Bibliographic citation

Alonso-Meijide, J. M., Casas-Méndez, B., González-Rueda, A. M., & Lorenzo-Freire, S. (2015). The Owen and Banzhaf–Owen values revisited. Optimization, 65(6), 1277–1291. https://doi.org/10.1080/02331934.2015.1091823

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Financial support from Ministerio de Ciencia y Tecnolog´ıa, Ministerio de Economía y Competitividad, and FEDER through grants MTM2011-27731-C03-02, ECO2011- 23460, MTM2014-53395-C3-1-P, and MTM2014-53395-C3-2-P is gratefully acknowledged. We also thank two anonymous referees for some thoughtful and constructive comments.

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Attribution-NonCommercial-NoDerivatives 4.0 International

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Estatística, Análise Matemática e Optimización
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