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On blocking coalitions: Linking Mas-Colell with Grodal-Schmeidler-Vind

Author

Listed:
  • Joseph Greenberg

    (McGill University)

  • Shlomo Weber

    (Southern Methodist University)

  • Akira Yamazaki

    (Meisei University)

Abstract

In this paper we investigate the question of how many coalitions of a given relative size would block a non-Warlasian allocation in large finite economies. It is shown that in finite economies, if a Pareto optimal allocation is bounded away from being Walrasian, then, for any two numbers α and β betwenn 0 and 1, the proportion of blocking coalitions in the set of all coalitions with relative size between α and β, is arbitrarily close to 1/2, as the number of individuals in the economy becomes large.

Suggested Citation

  • Joseph Greenberg & Shlomo Weber & Akira Yamazaki, 2006. "On blocking coalitions: Linking Mas-Colell with Grodal-Schmeidler-Vind," Discussion Papers 2, Meisei University, School of Economics.
    • Handle: RePEc:mei:wpaper:2
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    Cited by:

    1. Yoshiaki Hoshino & Ryuichiro Ishikawa & Akira Yamazaki, 2013. "Unequal Distribution of Powers in a Wicksellian Transfer Game," Discussion Papers 24, Meisei University, School of Economics.
    2. Achille Basile & Robert P. Gilles & Maria Gabriella Graziano & Marialaura Pesce, 2021. "The Core of economies with collective goods and a social division of labour," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 1085-1119, April.
    3. Akira Yamazaki, 2013. "Production Atomless Economies," Discussion Papers 25, Meisei University, School of Economics.
    4. Robert P. Gilles, 2018. "The Core of an Economy with an Endogenous Social Division of Labour," Papers 1809.01470, arXiv.org.
    5. Giovanna Bimonte, 2013. "A General Coalition Structure: Some Equivalence Results," Working Papers 3_230, Dipartimento di Scienze Economiche e Statistiche, Università degli Studi di Salerno.

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