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Equivalence of axioms for bankruptcy problems

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Author Info
Youngsub Chun () (Division of Economics, Seoul National University, Seoul 151-742, Korea)
Abstract

The bankruptcy problem is concerned with how to divide the net worth of the bankrupt firm among its creditors. In this paper, we investigate the logical relations between various axioms in the context of bankruptcy. Those axioms are: population-and-resource monotonicity, consistency, converse consistency, agreement, and separability. In most axiomatic models, they are not directly related. However, we show that they are equivalent on the class of bankruptcy problems under minor additional requirements.

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Publisher Info
Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 28 (1999)
Issue (Month): 4 ()
Pages: 511-520
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Handle: RePEc:spr:jogath:v:28:y:1999:i:4:p:511-520

Note: Received: April 1998/Revised version: January 1999
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Related research
Keywords: Bankruptcy problem · axioms · logical relation

Cited by:
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  1. Youngsub Chun, 2006. "The Separability Principle in Economies with Single-Peaked Preferences," Social Choice and Welfare, Springer, vol. 26(2), pages 239-253, April. [Downloadable!] (restricted)
  2. Carmen Herrero & Ricardo Martinez, 2006. "Allocation problems with indivisibilities when preferences are single-peaked," Working Papers 06.29, Universidad Pablo de Olavide, Departamento de Economía. [Downloadable!]
    Other versions:
  3. Rene van den Brink & Yukihiko Funaki & Gerard van der Laan, 2008. "The Reverse Talmud Rule for Bankruptcy Problems," Tinbergen Institute Discussion Papers 08-026/1, Tinbergen Institute, revised 27 Mar 2008. [Downloadable!]
  4. Juan Moreno-Ternero & John E. Roemer, 2004. "Impartiality and Priority. Part 2: A Characterization with Solidarity," Cowles Foundation Discussion Papers 1477B, Cowles Foundation, Yale University, revised May 2005. [Downloadable!]
  5. William Thomson & Chun-Hsien Yeh, 2006. "Operators for the adjudication of conflicting claims," RCER Working Papers 531, University of Rochester - Center for Economic Research (RCER). [Downloadable!]
  6. Youngsub Chun & Junghoon Lee, 2007. "On the convergence of the random arrival rule in large claims problems," International Journal of Game Theory, Springer, vol. 36(2), pages 259-273, October. [Downloadable!] (restricted)
  7. Youngsub Chun, 2001. "The Separability Principle in Bargaining," Working Paper Series no43, Institute of Economic Research, Seoul National University. [Downloadable!]
  8. Bettina Klaus, 2004. "A Note on the Separability Principle in Economies with Single-Peaked," UFAE and IAE Working Papers 601.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC), revised 14 Nov 2005. [Downloadable!]
  9. Carmen Herrero & Ricardo Martinez, 2006. "Up methods in the allocation of indivisibilities when preferences are single-peaked," Working Papers 06.30, Universidad Pablo de Olavide, Departamento de Economía. [Downloadable!]
  10. William Thomson, 2006. "On the Existence of Consistent Rules to Adjudicate Conflicting Claims: A Constructive Geometric Approach," RCER Working Papers 528, University of Rochester - Center for Economic Research (RCER). [Downloadable!]
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