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Lorenz comparisons of nine rules for the adjudication of conflicting claims

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  • Kristof Bosmans
  • Luc Lauwers

Abstract

Consider the following nine rules for adjudicating conflicting claims: the proportional, constrained equal awards, constrained equal losses, Talmud, Piniles’, constrained egalitarian, adjusted proportional, random arrival, and minimal overlap rules. For each pair of rules in this list, we examine whether or not the two rules are Lorenz comparable. We allow the comparison to depend upon whether the amount to divide is larger or smaller than the half-sum of claims. In addition, we provide Lorenz-based characterizations of the constrained equal awards, constrained equal losses, Talmud, Piniles’, constrained egalitarian, and minimal overlap rules.

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Bibliographic Info

Paper provided by Katholieke Universiteit Leuven, Centrum voor Economische Studiën in its series Center for Economic Studies - Discussion papers with number ces0705.

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Date of creation: Mar 2007
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Handle: RePEc:ete:ceswps:ces0705

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Keywords: Claims problem; Bankruptcy; Taxation; Lorenz dominance; Progressivity; Proportional rule; Constrained equal awards rule; Constrained equal losses rule; Talmud rule; Piniles’ rule; Constrained egalitarian rule; Adjusted proportional rule; Random arrival rule; Minimal overlap rule;

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  1. 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).
  2. Kristof Bosmans & Erik Schokkaert, 2009. "Equality preference in the claims problem: a questionnaire study of cuts in earnings and pensions," Social Choice and Welfare, Springer, vol. 33(4), pages 533-557, November.
  3. Diego Dominguez & William Thomson, 2004. "A New Solution to the Problem of Adjudicating Conflicting Claims," RCER Working Papers 511, University of Rochester - Center for Economic Research (RCER).
  4. Schummer, James & Thomson, William, 1997. "Two derivations of the uniform rule and an application to bankruptcy," Economics Letters, Elsevier, vol. 55(3), pages 333-337, September.
  5. Chun, Youngsub & Thomson, William, 2005. "Convergence under replication of rules to adjudicate conflicting claims," Games and Economic Behavior, Elsevier, vol. 50(2), pages 129-142, February.
  6. Antonio Villar Notario & Carmen Herrero Blanco, 2000. "The Three Musketeers: Four Classical Solutions To Bankruptcy Problems," Working Papers. Serie AD 2000-23, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  7. MORENO-TERNERO, Juan D. & VILLAR, Antonio, . "On the relative equitability of a family of taxation rules," CORE Discussion Papers RP -1899, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Juan de Dios Moreno Ternero & Antonio Villar Notario, 2003. "The Talmud Rule And The Securement Of Agents? Awards," Working Papers. Serie AD 2003-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  9. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
  10. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931, September.
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Cited by:
  1. Giménez-Gómez, José Manuel, 2011. "A way to play bankruptcy problems," Working Papers 2072/169781, Universitat Rovira i Virgili, Department of Economics.
  2. Giménez-Gómez, José Manuel & Peris, Josep E., 2012. "A Proportional Approach to Bankruptcy Problems with a guaranteed minimum," Working Papers 2072/182645, Universitat Rovira i Virgili, Department of Economics.
  3. Giménez-Gómez, José-Manuel & Peris, Josep E., 2014. "A proportional approach to claims problems with a guaranteed minimum," European Journal of Operational Research, Elsevier, vol. 232(1), pages 109-116.
  4. Giménez-Gómez, José Manuel & Marco Gil, M. Carmen, 2012. "A New Approach for Bounding Awards in Bankruptcy Problems," Working Papers 2072/182719, Universitat Rovira i Virgili, Department of Economics.
  5. Kristof Bosmans & Erik Schokkaert, 2009. "Equality preference in the claims problem: a questionnaire study of cuts in earnings and pensions," Social Choice and Welfare, Springer, vol. 33(4), pages 533-557, November.
  6. José M. Jiménez Gómez, 2010. "Noncooperative justifications for old bankruptcy rules," Working Papers. Serie AD 2010-15, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  7. William Thomson, 2013. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: an update," RCER Working Papers 578, University of Rochester - Center for Economic Research (RCER).

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