A characterization of a family of rules for the adjudication of conflicting claims

DOI10.1016/j.geb.2013.07.002zbMath1282.91168DBLPjournals/geb/Thomson13OpenAlexW1972941474WikidataQ59972694 ScholiaQ59972694MaRDI QIDQ2437812

William Thomson

Publication date: 13 March 2014

Published in: Games and Economic Behavior (Search for Journal in Brave)

Full work available at URL: http://rcer.econ.rochester.edu/RCERPAPERS/rcer_530.pdf

zbMATH Keywords

proportional ruleclaims problemsconsistent extensionsCEA ruleCEL rule

Mathematics Subject Classification ID

Cooperative games (91A12) Resource and cost allocation (including fair division, apportionment, etc.) (91B32)

Related Items (8)

Characterizations of weighted and equal division values ⋮ Taxation and poverty ⋮ Consistent bilateral assignment ⋮ Priority classes and weighted constrained equal awards rules for the claims problem ⋮ Loss sharing: characterizing a new class of rules ⋮ Compromising between the proportional and equal division values ⋮ Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: an update ⋮ Composition properties in the river claims problem

Cites Work

• Parametric rationing methods
• On properties of division rules lifted by bilateral consistency
• Two families of rules for the adjudication of conflicting claims
• Game theoretic analysis of a bankruptcy problem from the Talmud
• On weighted Shapley values
• A problem of rights arbitration from the Talmud
• Bilateral comparisons and consistent fair division rules in the context of bankruptcy problems
• Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey.
• Claims problems and weighted generalizations of the Talmud rule
• `Hydraulic' rationing
• New characterizations of old bankruptcy rules
• The two-agent claims-truncated proportional rule has no consistent extension: a constructive proof
• On the existence of consistent rules to adjudicate conflicting claims: a constructive geometric approach
• A new solution to the problem of adjudicating conflicting claims
• GAME-THEORETIC ANALYSIS OF BANKRUPTCY AND TAXATION PROBLEMS: RECENT ADVANCES
• The Fair Division of a Fixed Supply Among a Growing Population
• Lexicographic Probabilities and Equilibrium Refinements
• On Dividing an Amount According to Individual Claims or Liabilities
• Priority Rules and Other Asymmetric Rationing Methods

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