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Fairness and fuzzy coalitions

Author

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  • Chiara Donnini

    (Università degli Studi di Napoli Parthenope)

  • Marialaura Pesce

    (Università degli Studi di Napoli Federico II and CSEF)

Abstract

In this paper, we study the problem of a fair redistribution of resources among agents in an exchange economy á la Shitovitz (Econometrica 41:467–501, 1973), with agents’ measure space having both atoms and an atomless sector. We proceed by following the idea of Aubin (Mathematical methods of game economic theory. North-Holland, Amsterdam, New York, Oxford, 1979) to allow for partial participation of individuals in coalitions, that induces an enlargement of the set of ordinary coalitions to the so-called fuzzy or generalized coalitions. We propose a notion of fairness which, besides efficiency, imposes absence of envy towards fuzzy coalitions, and which fully characterizes competitive equilibria and Aubin-core allocations.

Suggested Citation

  • Chiara Donnini & Marialaura Pesce, 2021. "Fairness and fuzzy coalitions," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(4), pages 1033-1052, December.
    • Handle: RePEc:spr:jogath:v:50:y:2021:i:4:d:10.1007_s00182-021-00780-2
    DOI: 10.1007/s00182-021-00780-2
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    References listed on IDEAS

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    Cited by:

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