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Dividing by Demanding: Object Division through Market Procedures

Author

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  • Haake, Claus-Jochen

    (Center for Mathematical Economics, Bielefeld University)

Abstract

We discuss a model, in which two agents may distribute finitely many objects among themselves. The conflict is resolved by means of a market procedure. Depending on the specifications, this procedure serves to implement bargaining solutions such as the discrete Raiffa solution, the Kalai-Smorodinsky solution and the Perles-Maschler solution. The latter is axiomatized using the superadditivity axiom, which in the present context is readily interpreted as resolving a specific source of conflict potential.

Suggested Citation

  • Haake, Claus-Jochen, 2016. "Dividing by Demanding: Object Division through Market Procedures," Center for Mathematical Economics Working Papers 359, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:359
    as

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    File URL: https://pub.uni-bielefeld.de/download/1875967/2319742
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    References listed on IDEAS

    as
    1. Trockel, Walter, 2011. "An axiomatization of the sequential Raiffa solution," Center for Mathematical Economics Working Papers 425, Center for Mathematical Economics, Bielefeld University.
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    3. Steven J. Brams & D. Marc Kilgour, 2001. "Competitive Fair Division," Journal of Political Economy, University of Chicago Press, vol. 109(2), pages 418-443, April.
    4. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    5. Ervig, U. & Haake, C.-J., 2005. "Trading bargaining weights," Journal of Mathematical Economics, Elsevier, vol. 41(8), pages 983-993, December.
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