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The TAL-Family of rules for bankruptcy problems

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Moreno-Ternero, Juan D. Villar, Antonio

This paper analyzes a family of rules for bankruptcy problems that generalizes the Talmud rule (T) and encompasses both the constrained equal-awards rule (A) and the constrained equal-losses rule (L). The family is defined by means of a parameter theta is an element of [0, 1] that can be interpreted as a measure of the distributive power of the rule. We provide a systematic study of the structural properties of the rules within the family and its connections with the existing literature.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2006
Journal information "Social Choice and Welfare" - Vol. 27, no. 2, p. 231-249 (2006)
Peer reviewed yes
Publisher Springer
issn 0176-1714
e-issn 1432-217X
Publication status Publié
Affiliation UCL
Links
  1. Atkinson AB (1970) On the measurement of inequality. J Econ Theory 2:244–263
  2. Aumann RJ, Maschler M (1985) Game theoretic analysis of a bankruptcy problem from the Talmud. J Econ Theory 36:195–213
  3. Chakravarty SR (1999) Measuring inequality: the axiomatic approach. In: Silber J (eds) The handbook of income inequality measurement, chap 4. Kluwer, Dordrecht
  4. Curiel IJ, Maschler M, Tijs SH (1987) Bankruptcy games. Zeitschrift für Operat Res 31:A143–A159
  5. Dagan N (1996) New characterizations of old bankruptcy rules. Soc Choice Welfare 13:51–59
  6. Dasgupta PS, Sen AK, Starret D (1973) Notes on the measurement of inequality. J Econ Theory 6:180–187
  7. Dominguez D, Thomson W (2006) A new solution to the problem of adjudicating conflicting claims. Econ Theory 28:283–307
  8. Herrero C, Villar A (2001) The three musketeers: four classical solutions to bankruptcy problems. Math Soc Sci 42:307–328
  9. Herrero C, Villar A (2002) Sustainability in bankruptcy problems. TOP 10(2):261–273
  10. Hokari T, Thomson W (2003) Claims problems and weighted generalizations of the Talmud rule. Econ Theory 21:241–261
  11. Kahneman D, Tversky A (1979) Prospect theory: an analysis of decision making under risk. Econometrica 47:263–291
  12. Moreno-Ternero J, Roemer J (2004) Impartiality, solidarity, and priority in the theory of justice. Cowles Foundation Discussion Paper No. 1477
  13. Moreno-Ternero J, Villar A (2004) The Talmud rule and the securement of agents’ awards. Math Soc Sci 47:245–257
  14. Moreno-Ternero J, Villar A (2005) On the relative equitability of a family of taxation rules. J~Public Econ Theory (forthcoming)
  15. Moreno-Ternero J, Villar A (2006) New characterizations of a classical bankruptcy rule. Rev Econ Des (forthcoming)
  16. Moulin H (1987) Equal or proportional division of a surplus, and other methods. Int J Game Theory 16:161–186
  17. Moulin H (2000) Priority rules and other asymmetric rationing methods. Econometrica 68:643–684
  18. Moulin H (2002) Axiomatic cost and surplus-sharing. In: Arrow K, Sen A, Suzumura K (eds) The handbook of social choice and welfare, vol 1, chap 6. North-Holland, New York
  19. O’Neill B (1982) A problem of rights arbitration from the Talmud. Math Soc Sci 2:345–371
  20. Rostchild M, Stiglitz JE (1973) Some further results on the measurement of inequality. J Econ Theory 2:225–243
  21. Thomson W (1987) Monotonic allocation mechanisms. Mimeo, University of Rochester
  22. Thomson W (1996) Consistent allocation rules, RCER Working paper 418, University of Rochester
  23. Thomson W (2000) Condorcet lecture. In: International meeting of the society for social choice and welfare, University of Alicante.
  24. Thomson W (2003) Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey. Math Soc Sci 45:249–297
  25. Yeh CH (2005) Protective properties and the constrained equal awards rule for claims problems. Soc Choice Welfare (forthcoming)
  26. Yeh CH (2006) Secured lower bound, composition up, and minimal rights first for bankruptcy problems. Mimeo, Inst Econ, Academia Sinica, Taiwan
  27. Young P (1987) On dividing an amount according to individual claims or liabilities. Math Operat Res 12:398–414
  28. Young P (1988) Distributive justice in taxation. J Econ Theory 44:321–335
  29. Young P (1994) Equity. Princeton University Press, Princeton
Bibliographic reference Moreno-Ternero, Juan D. ; Villar, Antonio. The TAL-Family of rules for bankruptcy problems. In: Social Choice and Welfare, Vol. 27, no. 2, p. 231-249 (2006)
Permanent URL http://hdl.handle.net/2078/32879