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Inequality averse multi-utilitarian bargaining solutions

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Abstract

This paper introduces and analyzes the class of inequality averse multi-utilitarian solutions for cooperative bargaining problems. We show that generalized Gini solutions and inequality averse Choquet solutions are particular cases of this new multi-valued solution concept and provide a complete characterization in which an invariance property, consisting of a weakening of both the linear invariance axiom in Blackorby et al. (Econometrica 62:1161–1178, 1994) and the restricted invariance axiom in Ok and Zhou (Games Econ Behav 33:249–264, 2000), plays an important role. Moreover, by relaxing the assumptions involved in the characterization, the class is extended to include inequality loving multi-utilitarian solutions which are also studied in the paper.

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Authors and Affiliations

  1. Department of Economics, Quantitative Methods and Economic History, Pablo de Olavide University, Ctra. Utrera, Km 1, 41013, Seville, Spain

    M. A. Hinojosa

  2. Seville University, Seville, Spain

    A. M. Mármol

  3. Basque Country University, Bilbao, Spain

    J. M. Zarzuelo

Authors
  1. M. A. Hinojosa
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  2. A. M. Mármol
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  3. J. M. Zarzuelo
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Correspondence to M. A. Hinojosa.

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Hinojosa, M.A., Mármol, A.M. & Zarzuelo, J.M. Inequality averse multi-utilitarian bargaining solutions. Int J Game Theory 37, 597–618 (2008). https://doi.org/10.1007/s00182-008-0137-2

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  • DOI: https://doi.org/10.1007/s00182-008-0137-2

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