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Dividing by Demanding: Object Division through Market Procedures

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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
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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.
    2. 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.
    3. Ervig, U. & Haake, C.-J., 2005. "Trading bargaining weights," Journal of Mathematical Economics, Elsevier, vol. 41(8), pages 983-993, December.
    4. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    5. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
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