On properties of division rules lifted by bilateral consistency

DOI10.1016/j.jmateco.2008.01.001zbMath1152.91022OpenAlexW2000766064WikidataQ59972770 ScholiaQ59972770MaRDI QIDQ952680

William Thomson, Toru Hokari

Publication date: 13 November 2008

Published in: Journal of Mathematical Economics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmateco.2008.01.001

zbMATH Keywords

consistencyliftingconstrained equal awards ruleclaims problemsconstrained equal losses rule

Mathematics Subject Classification ID

Public goods (91B18)

Related Items (19)

For claims problems, compromising between the proportional and constrained equal awards rules ⋮ The two-agent claims-truncated proportional rule has no consistent extension: a constructive proof ⋮ Random conjugates of bankruptcy rules ⋮ A unifying framework for the problem of adjudicating conflicting claims ⋮ Additive adjudication of conflicting claims ⋮ For claims problems, another compromise between the proportional and constrained equal awards rules ⋮ A characterization of a family of rules for the adjudication of conflicting claims ⋮ Lorenz rankings of rules for the adjudication of conflicting claims ⋮ Consistent strategy-proof assignment by hierarchical exchange ⋮ Rationing with baselines: the composition extension operator ⋮ Rationing in the presence of baselines ⋮ Allocation rules on networks ⋮ On the existence of consistent rules to adjudicate conflicting claims: a constructive geometric approach ⋮ Progressive and merging-proof taxation ⋮ Up methods in the allocation of indivisibilities when preferences are single-peaked ⋮ Consistency and its converse: an introduction ⋮ Two families of rules for the adjudication of conflicting claims ⋮ Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: an update ⋮ THE NUCLEOLUS OF THE BANKRUPTCY PROBLEM BY HYDRAULIC RATIONING

Cites Work

• Operators for the adjudication of conflicting claims
• Game theoretic analysis of a bankruptcy problem from the Talmud
• A problem of rights arbitration from the Talmud
• The bankruptcy problem: A cooperative bargaining approach
• Bilateral comparisons and consistent fair division rules in the context of bankruptcy problems
• A noncooperative view of consistent bankruptcy rules
• Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey.
• Claims problems and weighted generalizations of the Talmud rule
• The three musketeers: four classical solutions to bankruptcy problems.
• Group order preservation and the proportional rule for the adjudication of conflicting claims
• Sustainability in bankruptcy problems.
• Equivalence of axioms for bankruptcy problems
• On the existence of consistent rules to adjudicate conflicting claims: a constructive geometric approach
• On Dividing an Amount According to Individual Claims or Liabilities
• A quadratic programming model for product configuration optimization
• Priority Rules and Other Asymmetric Rationing Methods

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