One-sided population monotonicity, separability, and the uniform rule

2003 ◽  
Vol 78 (3) ◽  
pp. 343-349 ◽  
Author(s):  
Youngsub Chun
Keyword(s):  
Uniform Rule ◽  
Population Monotonicity

scholarly journals The Role of Replication-Invariance: Two Answers Concerning the Problem of Fair Division When Preferences Are Single-Peaked

2010 ◽  
Vol 10 (1) ◽  
Author(s):  
Bettina Klaus
Keyword(s):  
Pareto Optimality ◽  
Open Problem ◽  
Previous Analysis ◽  
Fair Division ◽  
The Other ◽  
Uniform Rule ◽  
Infinitely Divisible ◽  
Population Monotonicity

We consider the problem of allocating an infinitely divisible commodity among a group of agents with single-peaked preferences. A rule that has played a central role in the previous analysis of the problem is the so-called uniform rule. Thomson (1995b) proved that the uniform rule is the only rule satisfying Pareto optimality, no-envy, one-sided population-monotonicity, and replication-invariance. Replacing one-sided population-monotonicity by one-sided replacement-domination yields another characterization of the uniform rule (Thomson, 1997a). Until now, the independence of replication-invariance from the other properties in these characterizations was an open problem. In this note we prove this independence by means of a single example.

scholarly journals Eficiencia de las reglas de asignación de agua en el regadío: Asignación a través de mercados, de la regla proporcional y de la regla uniforme

2011 ◽  
Vol 5 (9) ◽  
pp. 115 ◽  
Author(s):  
Renan-Ulrich Goetz ◽  
Yolanda Martínez ◽  
Jofre Rodrigo
Keyword(s):  
Choice Theory ◽  
Social Choice Theory ◽  
High Water ◽  
Water Shortage ◽  
Uniform Rule ◽  
Current Management ◽  
Ebro Valley ◽  
Irrigated Area ◽  
System Water ◽  
Interesting Alternative

In this paper, the introduction of three different methods for the assignment of water in agriculture is simulated in order to compare its economic efficiency for the case of an irrigated area located in the central Ebro Valley. Apart from the currently applied proportional system, water markets have been simulated along with the uniform rule, developed in social choice theory. The results show that although the water market achieves the best results in all cases, the uniform rule can be an interesting alternative to current management methods if water assignments are at regular levels, while in the case of severe water shortage; markets offer a clearer advantage with regard to any other method. The results also show that higher levels of heterogeneity between firms and high water prices situate the uniform rule in a more favorable situation then the currently applied proportional system.

scholarly journals Two characterizations of the uniform rule for division problems with single-peaked preferences

1996 ◽  
Vol 7 (2) ◽  
pp. 291-306 ◽  
Author(s):  
Gert -Jan Otten ◽  
Hans Peters ◽  
Oscar Volij
Keyword(s):  
Uniform Rule ◽  
Division Problems
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