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Two characterizations of the random arrival rule

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  • Yan-An Hwang

    (National Dong Hwa University)

Abstract

The main focus of this note is on the random arrival rule. We adopt two characterizations from transferable utility games theory and reinterpret them in the framework of bankruptcy problems. One is that the random arrival rule can be formulated as the vector of marginal compensations of a potential function. The other one is that the random arrival rule is the only rule satisfying balanced compensations.

Suggested Citation

  • Yan-An Hwang, 2015. "Two characterizations of the random arrival rule," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(1), pages 43-52, April.
    • Handle: RePEc:spr:etbull:v:3:y:2015:i:1:d:10.1007_s40505-015-0070-z
    DOI: 10.1007/s40505-015-0070-z
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    References listed on IDEAS

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    1. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
    2. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
    3. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
    4. Gustavo Bergantiños & Luciano Méndez-Naya, 2001. "Additivity in bankruptcy problems and in allocation problems," Spanish Economic Review, Springer;Spanish Economic Association, vol. 3(3), pages 223-229.
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    Cited by:

    1. Gong, Doudou & Dietzenbacher, Bas & Peters, Hans, 2022. "A random arrival rule for NTU-bankruptcy problems," Economics Letters, Elsevier, vol. 218(C).
    2. Morgenstern, Ilan & Domínguez, Diego, 2019. "A characterization of the random arrival rule for bankruptcy problems," Economics Letters, Elsevier, vol. 174(C), pages 214-217.
    3. Saavedra-Nieves, Alejandro & Saavedra-Nieves, Paula, 2020. "On systems of quotas from bankruptcy perspective: the sampling estimation of the random arrival rule," European Journal of Operational Research, Elsevier, vol. 285(2), pages 655-669.
    4. Yokote, Koji & Kongo, Takumi & Funaki, Yukihiko, 2018. "The balanced contributions property for equal contributors," Games and Economic Behavior, Elsevier, vol. 108(C), pages 113-124.

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    More about this item

    Keywords

    Potential; Balanced compensations; Random arrival rule;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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