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Lorenz rankings of rules for the adjudication of conflicting claims

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Author Info
William Thomson () (University of Rochester)

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Abstract

For the problem of adjudicating conflicting claims, we offer simple criteria to compare rules on the basis of the Lorenz order. These criteria pertain to three families of rules. The first family contains the constrained equal awards, constrained equal losses, Talmud, and minimal overlap rules (Thomson, 2007a). The second family, which also contains the constrained equal awards and constrained equal losses rules, is obtained from the first one by exchanging, for each problem, how well agents with relatively larger claims are treated as compared to agents with relatively smaller claims. The third family consists of consistent rules (Young, 1987). We also address the issue whether certain operators on the space of rules preserve the Lorenz order.

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File URL: http://rcer.econ.rochester.edu/RCERPAPERS/rcer_538.pdf
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Publisher Info
Paper provided by University of Rochester - Center for Economic Research (RCER) in its series RCER Working Papers with number 538.

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Length: 33 pages
Date of creation: Dec 2007
Date of revision:
Handle: RePEc:roc:rocher:538

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Postal: UNIVERSITY OF ROCHESTER, CENTER FOR ECONOMIC RESEARCH, DEPARTMENT OF ECONOMICS, HARKNESS 231 ROCHESTER NEW YORK 14627 U.S.A.

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Related research
Keywords: claims problems; constrained equal awards rule; constrained equal losses rule; Talmud rule; minimal overlap rule; Piniles’ rule; constrained egalitarian rule; ICI rules; CIC rules; consistent rules; Lorenz domination; operators.;

Find related papers by JEL classification:
C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances

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  1. Karagozoglu, Emin, 2008. "Distributive Concerns in the Bankruptcy Problem with an Endogenous Estate," Research Memoranda 032, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
  2. Nir Dagan, 2008. "An axiomatization of the leveling tax-transfer policy," Economic theory and game theory 020, Nir Dagan. [Downloadable!]
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