A characterization of the proportional rule in multi-issue allocation situations

DOI10.1016/j.orl.2009.10.003zbMath1198.91094OpenAlexW2072994096MaRDI QIDQ2270318

Silvia Lorenzo-Freire, Gustavo Bergantiños, Leticia Lorenzo

Publication date: 18 March 2010

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11093/1099

zbMATH Keywords

proportional rulemulti-issue allocation situations

Mathematics Subject Classification ID

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

Related Items (15)

Mixed rules in multi‐issue allocation situations ⋮ Extended proportionality in division problems with multiple references ⋮ A random arrival rule for division problems with multiple references ⋮ Resource allocation games: a compromise stable extension of bankruptcy games ⋮ Sequential claim games ⋮ New characterizations of the constrained equal awards rule in multi-issue allocation situations ⋮ Design of water quality policies based on proportionality in multi-issue problems with crossed claims ⋮ A consistent talmudic rule for division problems with multiple references ⋮ The equal share proportional solution in a permit sharing problem ⋮ A coalitional procedure leading to a family of bankruptcy rules ⋮ Decentralized rationing problems and the proportional rule ⋮ Proportional rules for state contingent claims ⋮ Multi-commodity rationing problems with maxmin payoffs ⋮ Multi-issue bankruptcy problems with crossed claims ⋮ Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: an update

Cites Work

• The two-stage constrained equal awards and losses rules for multi-issue allocation situations
• Non-manipulable division rules in claim problems and generalizations
• Balanced contributions for TU games with awards and applications
• A composite run-to-the-bank rule for multi-issue allocation situations
• The proportional solution for rights problems
• A problem of rights arbitration from the Talmud
• Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey.
• Multi-issue allocation situations

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