Composition, securement, and concede-and-divide

• Autores: Juan D. Moreno-Ternero
• Localización: Spanish economic review, ISSN 1435-5469, Vol. 8, Nº 3, 2006, págs. 227-237
• Idioma: inglés
• DOI: 10.1007/s10108-006-9003-1
• Texto completo no disponible (Saber más ...)
• Resumen

  • Concede-and-divide is a widely accepted procedure to solve the problem of adjudicating two conflicting claims. In this paper we show that this procedure can be characterized by combining three standard properties in the literature: self-duality, lower securement, and restricted composition up. We also show that self-duality can be replaced by the dual properties of lower securement and restricted composition up and that both characterization results are tight.

• Referencias bibliográficas
  • Aumann RJ, Maschler M (1985) Game theoretic analysis of a bankruptcy problem from the Talmud. J Econ Theory 36:195-213
  • Bergantiños G, Méndez-Naya L (2001) Additivity in bankruptcy problems and in allocation problems. Span Econ Rev 3: 223-229
  • Dagan N (1996) New characterizations of old bankruptcy rules. Soc Choice Welfare 13: 51-59
  • Dominguez D, Thomson W (2006) A new solution to the problem of adjudicating conflicting claims. Econ Theory 28: 283-307
  • Herrero C, Villar A (2001) The three musketeers: four classical solutions to bankruptcy problems. Math Soc Sci 42: 307-328
  • Ju BG, Moreno-Ternero JD (2005) Progressivity, inequality reduction and merging-proofness in taxation. Mimeo, University of Kansas, Kansas
  • Moreno-Ternero JD, Villar A (2004) The talmud rule and the securement of agents' awards. Math Soc Sci 47:245-257
  • Moreno-Ternero JD, Villar A (2005) New characterizations of a classical bankruptcy rule. Review of Econ Des (in press)
  • Moreno-Ternero JD, Villar A (2006) The TAL-family of rules for bankruptcy problems. Soc Choice Welfare (in press)
  • Moulin H (1987) Equal or proportional division of a surplus, and other methods. Int J Game Theory 16:161-186
  • Moulin H (2000) Priority rules and other asymmetric rationing methods. Econometrica 68: 643-684
  • Moulin H (2002) Axiomatic cost and surplus-sharing. In: Arrow K, Sen A, Suzumura K (Eds.) The handbook of social choice and self are, vol....
  • O'Neill B (1982) A problem of rights arbitration from the Talmud. Math Soc Sci 2: 345-371
  • Thomson W (2003) Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey. Math Soc Sci 45: 249-297
  • Thomson W (2004) How to divide when there isn't enough: from the Talmud to modern game theory. Book Manuscript, University of Rochester,...
  • Yeh C-H (2006) Secured lower bound, composition up, and minimal rights first for bankruptcy problems. Mimeo, Institute of Economics, Academia...
  • Young P (1988) Distributive justice in taxation. J Econ Theory 44: 321-335
  • Young P (1994) Equity. Princeton University Press, Princeton