scholarly journals Full nuclear cones associated to a normal cone. Application to Pareto efficiency

2002 ◽  
Vol 15 (5) ◽  
pp. 633-639 ◽  
Author(s):  
G. Isac ◽  
A.O. Bahya
Keyword(s):  
Normal Cone ◽  
Pareto Efficiency

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 Implications of Pareto efficiency for two-agent (household) choice

2011 ◽  
Vol 47 (2) ◽  
pp. 129-136 ◽  
Author(s):  
Federico Echenique ◽  
Lozan Ivanov
Keyword(s):  
Pareto Efficiency ◽  
Household Choice

Proximal Normal Cone Analysis on Smooth Banach Spaces and Applications

2014 ◽  
Vol 24 (1) ◽  
pp. 363-384 ◽  
Author(s):  
Xi Yin Zheng ◽  
Kung Fu Ng
Keyword(s):  
Banach Spaces ◽  
Normal Cone ◽  
Proximal Normal Cone

scholarly journals In what spaces is every closed normal cone regular?

1970 ◽  
Vol 17 (2) ◽  
pp. 121-125 ◽  
Author(s):  
C. W. McArthur
Keyword(s):  
Banach Space ◽  
Convex Space ◽  
Unconditional Basis ◽  
Normal Cone ◽  
Closed Subspace ◽  
Locally Convex Space ◽  
Regular Part ◽  
Fréchet Space ◽  
Sequential Completeness ◽  
Locally Convex

It is known (13, p. 92) that each closed normal cone in a weakly sequentially complete locally convex space is regular and fully regular. Part of the main theorem of this paper shows that a certain amount of weak sequential completeness is necessary in order that each closed normal cone be regular. Specifically, it is shown that each closed normal cone in a Fréchet space is regular if and only if each closed subspace with an unconditional basis is weakly sequentially complete. If E is a strongly separable conjugate of a Banach space it is shown that each closed normal cone in E is fully regular. If E is a Banach space with an unconditional basis it is shown that each closed normal cone in E is fully regular if and only if E is the conjugate of a Banach space.

scholarly journals Pareto efficiency in the jungle

2017 ◽  
Vol 21 (3) ◽  
pp. 153-161 ◽  
Author(s):  
Harold Houba ◽  
Roland Iwan Luttens ◽  
Hans-Peter Weikard
Keyword(s):  
Pareto Efficiency
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