New characterizations of old bankruptcy rules

Nir Dagan

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This paper presents axiomatic characterizations of two bankruptcy rules discussed in Jewish legal literature: the Constrained Equal Awards rule and the Contested Garment principle (the latter is defined only for two-creditor problems.) A major property in these characterizations is independence of irrelevant claims, which requires that if an individual claim exceeds the total to be allocated the excess claim should be considered irrelevant.

Social Choice and Welfare 13:51-59 (1996)

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Cited by

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  2. Youngsub Chun, Equivalence of axioms for bankruptcy problems, International Journal of Game Theory 28:511-520 (1999)
  3. Carmen Herrero, Michael Maschler and Antonio Villar, Individual rights and collective responsibility: the rights–egalitarian solution, Mathematical Social Sciences 37:59-77 (1999)
  4. Carmen Herrero and Antonio Villar, The three musketeers: four classical solutions to bankruptcy problems, Mathematical Social Sciences 42:307-328 (2001)
  5. William Thomson, On the axiomatic method and its recent applications to game theory and resource allocation, Social Choice and Welfare 18:327-386 (2001)
  6. Somdeb Lahiri, Axiomatic characterizations of the CEA solution for rationing problems, European Journal of Operational Research 131:162-170 (2001)
  7. Youngsub Chun, James Schummer, and William Thomson, Constrained egalitarianism: a new solution for claims problems, Seoul Jurnal of Economics 14:269-297 (2001)
  8. M Carmen Gallastegui, Elena Iñarra, and Raul Prellezo, Bankruptcy of fishing resources: the northern European anglerfish fishery, Marine Resource Economics 17:291–307 (2002)
  9. Sofia Grahn and Mark Voorneveld, Population monotonic allocation schemes in bankruptcy games, Annals of Operations Research 109:317-329 (2002)
  10. Gustavo Bergantiños and Estela Sanchez, The proportional rule for problems with constraints and claims, Mathematical Social Sciences 43:225-249 (2002)
  11. Carmen Herrero and Antonio Villar, Sustainability in bankruptcy problems, Sociedad de Estadística e Investigacíon Operativa (TOP) 10:261-273 (2002)
  12. Andreas Pfingsten and Andreas Wagener, Bargaining solutions as social compromises, Theory and Decision 55:359-389 (2003)
  13. Toru Hokari and William Thomson, Claims problems and weighted generalizations of the Talmud rule, Economic Theory 21:241-261 (2003)
  14. William Thomson, Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey, Mathematical Social Sciences 45:249–297 (2003)
  15. Carmen Herrero, Equal awards vs. equal losses: duality in bankruptcy, in Murat R Sertel and Semih Koray (Eds), Advances in Economic Design, pp. 413-426, Springer (2003)
  16. Rodica Branzei, Dinko Dimitrov, Stefan Pickl, Stef Tijs, How to cope with division problems under interval uncertainty of claims?, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 12:191-200 (2004)
  17. Juan D. Moreno-Ternero and Antonio Villar, The Talmud rule and the securement of agents' awards, Mathematical Social Sciences 47:245-257 (2004)
  18. Chun-Hsien Yeh, Sustainability, exemption, and the constrained equal awards rule: a note, Mathematical Social Sciences 47:103-110 (2004)
  19. Peter Borm, Luisa Carpente, Balbina Casas-Méndez and Ruud Hendrickx, The constrained equal awards rule for bankruptcy problems with a priori unions, Annals of Operations Research 137:211-227 (2005)
  20. Joe Malkevitch, Resolving bankruptcy claims, Feature Column, Monthly Essays on Mathematical Topics, AMS website (March 2005)
  21. Antonio Villar, Cómo repartir cuando no hay bastante, Lecturas de Economía 62:9-34 (2005)
  22. Simon Gächter and Arno Riedl, Dividing justly in bargaining problems with claims: normative judgments and actual negotiations, Social Choice and Welfare 27:571-594 (2006)
  23. Juan D. Moreno-Ternero and Antonio Villar, The TAL-family of rules for bankruptcy problems, Social Choice and Welfare 27:231-249 (2006)
  24. Chun-Hsien Yeh, Protective properties and the constrained equal awards rule for claims problems: a note, Social Choice and Welfare 27:221-230 (2006)
  25. Juan D. Moreno-Ternero and Antonio Villar, New characterizations of a classical bankruptcy rule, Review of Economic Design 10:73-84 (2006)
  26. Juan D Moreno-Ternero, Proportionality and non-manipulability in bankruptcy problems, International Game Theory Review 8:127-139 (2006)
  27. Diego Dominguez and William Thomson, A new solution to the problem of adjudicating conflicting claims, Economic Theory 28:283-307 (2006)
  28. Juan D. Moreno-Ternero, Composition, securement, and concede-and-divide, Spanish Economic Review 8:227–237 (2006)
  29. William Thomson, On the existence of consistent rules to adjudicate conflicting claims: a constructive geometric approach, Review of Economic Design 11:225-251 (2007)
  30. José Alcalde and Matthias Dahm, Tullock and Hirshleifer: a meeting of the minds, Review of Economic Design 11:101-124 (2007)
  31. Gustavo Bergantiños and Leticia Lorenzo, The equal award principle in problems with constraints and claims, European Journal of Operational Research 188:224–239 (2008)
  32. José Alcalde, María del Carmen Marco and José A. Silva, The minimal overlap rule revisited, Social Choice and Welfare 31:109-128 (2008)
  33. William Thomson, Two families of rules for the adjudication of conflicting claims, Social Choice and Welfare 31:667–692 (2008)
  34. William Thomson and Chun-Hsien Yeh, Operators for the adjudication of conflicting claims, Journal of Economic Theory 143:177–198 (2008)
  35. Chun-Hsien Yeh, Secured lower bound, composition up, and minimal rights first for bankruptcy problems, Journal of Mathematical Economics 44:925–932 (2008)
  36. Silvia Lorenzo-Freire, Balbina Casas-Méndez, and Ruud Hendrickx, The two-stage constrained equal awards and losses rules for multi-issue allocation situations, Sociedad de Estadística e Investigacíon Operativa (TOP) Online first (2009)