Claims problems and weighted generalizations of the Talmud rule

2004 ◽  
pp. 55-75
Author(s):  
Toru Hokari ◽  
William Thomson
Keyword(s):  
Claims Problems ◽  
Talmud Rule

Claims problems and weighted generalizations of the Talmud rule

2003 ◽  
Vol 21 (2-3) ◽  
pp. 241-261 ◽  
Author(s):  
Toru Hokari ◽  
William Thomson
Keyword(s):  
Claims Problems ◽  
Talmud Rule

scholarly journals On the Difficulty of Budget Allocation in Claims Problems with Indivisible Items and Prices

2021 ◽  
Author(s):  
Teresa Estañ ◽  
Natividad Llorca ◽  
Ricardo Martínez ◽  
Joaquín Sánchez-Soriano
Keyword(s):  
Budget Allocation ◽  
Pareto Efficiency ◽  
Claims Problems ◽  
The Common ◽  
The Given

AbstractIn this paper we study the class of claims problems where the amount to be divided is perfectly divisible and claims are made on indivisible units of several items. Each item has a price, and the available amount falls short to be able to cover all the claims at the given prices. We propose several properties that may be of interest in this particular framework. These properties represent the common principles of fairness, efficiency, and non-manipulability by merging or splitting. Efficiency is our focal principle, which is formalized by means of two axioms: non-wastefulness and Pareto efficiency. We show that some combinations of the properties we consider are compatible, others are not.

scholarly journals The Talmud rule and the securement of agents' awards

2004 ◽  
Vol 47 (2) ◽  
pp. 245-257 ◽  
Author(s):  
Juan D. Moreno-Ternero ◽  
Antonio Villar
Keyword(s):  
Talmud Rule

scholarly journals A strategic justification of the Talmud rule based on lower and upper bounds

2020 ◽  
Vol 49 (4) ◽  
pp. 1045-1057 ◽  
Author(s):  
Juan D. Moreno-Ternero ◽  
Min-Hung Tsay ◽  
Chun-Hsien Yeh
Keyword(s):  
Upper Bounds ◽  
Lower And Upper Bounds ◽  
Rule Based ◽  
Talmud Rule

Book Reviews

2020 ◽  
Vol 58 (2) ◽  
pp. 498-500
Keyword(s):  
Resource Allocation ◽  
Axiomatic Approach ◽  
Claims Problems ◽  
William Thomson

Alexander Nesterov of Higher School of Economics reviews “How to Divide When There Isn't Enough: From Aristotle, the Talmud, and Maimonides to the Axiomatics of Resource Allocation,” by William Thomson. The Econlit abstract of this book begins: “Explores the resolution of claims problems using division rules, focusing on an axiomatic approach.”

A Way to Play Claims Problems

2013 ◽  
Vol 23 (3) ◽  
pp. 617-627 ◽  
Author(s):  
José-Manuel Giménez-Gómez
Keyword(s):  
Claims Problems
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