The two-stage constrained equal awards and losses rules for multi-issue allocation situations

DOI10.1007/s11750-009-0073-8zbMath1233.91021OpenAlexW3126036372MaRDI QIDQ621743

Ruud Hendrickx, Balbina V. Casas Méndez, Silvia Lorenzo-Freire

Publication date: 28 January 2011

Published in: Top (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11750-009-0073-8

zbMATH Keywords

bankruptcy problemsconstrained equal awardsconstrained equal lossesmulti-issue allocation situationstwo-stage solutions

Mathematics Subject Classification ID

Cooperative games (91A12) Resource and cost allocation (including fair division, apportionment, etc.) (91B32) Social choice (91B14)

Related Items (13)

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 ⋮ New characterizations of the constrained equal awards rule in multi-issue allocation situations ⋮ A consistent talmudic rule for division problems with multiple references ⋮ New results for multi-issue allocation problems and their solutions ⋮ Decentralized rationing problems and the proportional rule ⋮ Proportional rules for state contingent claims ⋮ Multi-commodity rationing problems with maxmin payoffs ⋮ Leximin rules for bankruptcy problems under uncertainty ⋮ A characterization of the proportional rule in multi-issue allocation situations ⋮ Multi-issue bankruptcy problems with crossed claims ⋮ Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: an update

Cites Work

• The constrained equal awards rule for bankruptcy problems with a priori unions
• A composite run-to-the-bank rule for multi-issue allocation situations
• Game theoretic analysis of a bankruptcy problem from the Talmud
• A problem of rights arbitration from the Talmud
• Multi-issue allocation situations
• The three musketeers: four classical solutions to bankruptcy problems.
• New characterizations of old bankruptcy rules
• On the axiomatic method and its recent applications to game theory and resource allocation
• 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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