The proportional rule for problems with constraints and claims.

DOI10.1016/S0165-4896(01)00093-2zbMath1038.91057MaRDI QIDQ1867812

Gustavo Bergantiños, Estela Sánchez

Publication date: 2 April 2003

Published in: Mathematical Social Sciences (Search for Journal in Brave)

zbMATH Keywords

Pareto optimalityproportionalitybankruptcy problemsnon-manipulabilityPERT problems

Mathematics Subject Classification ID

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

Related Items (12)

Allocating slacks in stochastic PERT network ⋮ Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey. ⋮ Sequential sharing rules for river sharing problems ⋮ A note on coalitional manipulation and centralized inventory management ⋮ A noncooperative approach to bankruptcy problems with an endogenous estate ⋮ A rule for slack allocation proportional to the duration in a PERT network ⋮ A VALUE FOR PERT PROBLEMS ⋮ The equal award principle in problems with constraints and claims ⋮ Knapsack cost sharing ⋮ A project game for PERT networks ⋮ The constrained equal loss rule in problems with constraints and claims ⋮ Entropy, desegregation, and proportional rationing

Cites Work

• Game theoretic analysis of a bankruptcy problem from the Talmud
• Equal or proportional division of a surplus, and other methods
• Distributive justice in taxation
• The proportional solution for rights problems
• A problem of rights arbitration from the Talmud
• Individual rights and collective responsibility: The rights-egalitarian solution
• New characterizations of old bankruptcy rules
• Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons
• Priority Rules and Other Asymmetric Rationing Methods

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