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Non-Cooperative Solutions for Claims Problems

Author

Listed:
  • Atlamaz, M.
  • Berden, C.

    (Quantitative Economics)

  • Peters, H.J.M.

    (RS: GSBE ETBC, Quantitative Economics)

  • Vermeulen, A.J.

    (Quantitative Economics, RS: GSBE ETBC)

Abstract

In a claims problem an estate has to be divided among several claimants whose total claim exceeds the size of the estate. This paper extends the noncooperative approach, initiated by O’Neill (1982), by allowing players to put multiple claims on the same part of the estate, and by considering the case where individual claims may exceed the estate. A full characterization of the set of Nash equilibria is obtained both for restricted claims problems, where individual claims do not exceed the estate, and for the general case. Variations on the claim game are considered, which result in proportional division in equilibrium.

Suggested Citation

  • Atlamaz, M. & Berden, C. & Peters, H.J.M. & Vermeulen, A.J., 2008. "Non-Cooperative Solutions for Claims Problems," Research Memorandum 038, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    • Handle: RePEc:unm:umamet:2008038
    DOI: 10.26481/umamet.2008038
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    Cited by:

    1. Aleksander Aristovnik & Matevž Meze, 2017. "The impact of supranational fiscal rules on public finance: the case of EMU member states," Global Business and Economics Review, Inderscience Enterprises Ltd, vol. 19(1), pages 38-53.
    2. Julia Darby & Jacques Melitz, 2011. "Joint Estimates of Automatic and Discretionary Fiscal Policy: the OECD 1981-2003," Working Papers 2011-14, CEPII research center.
    3. Emin Karagözoğlu, 2014. "A noncooperative approach to bankruptcy problems with an endogenous estate," Annals of Operations Research, Springer, vol. 217(1), pages 299-318, June.
    4. Palvolgyi, D.G. & Peters, H.J.M. & Vermeulen, A.J., 2010. "A strategic approach to estate division problems with non-homogenous preferences," Research Memorandum 036, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).

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