Journal ArticleDOI
Allocation rules for land division
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This paper studies the classical land division problem formalized by Steinhaus in a multi-profile context and proposes a notion of an allocation rule for this setting, showing division independence to imply the principle of utilitarianism.About:
This article is published in Journal of Economic Theory.The article was published on 2005-04-01. It has received 34 citations till now. The article focuses on the topics: Division (mathematics).read more
Citations
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Journal ArticleDOI
The Efficiency of Fair Division with Connected Pieces
Yonatan Aumann,Yair Dombb +1 more
TL;DR: This work focuses on divisions that give each agent a single (contiguous) piece of the cake and provides tight bounds on the possible degradation in utilitarian and egalitarian welfare resulting from meeting the fairness requirements.
Journal ArticleDOI
A theory of a heterogeneous divisible commodity exchange economy
TL;DR: In this paper, the existence of a competitive equilibrium with an additive price is proved in a land trading economy with unordered convex preferences, and the existence also of a weak core and a fair allocation.
Journal ArticleDOI
Fair and Square: Cake-cutting in Two Dimensions
TL;DR: The level of proportionality that can be guaranteed is examined, providing both impossibility results and constructive division procedures, particularly squares and fat rectangles.
Journal ArticleDOI
Fair and square: Cake-cutting in two dimensions
TL;DR: In this paper, the authors considered the problem of fair two-dimensional division, where the allotted pieces must be of some restricted 2D geometric shape(s), particularly squares and fat rectangles.
References
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Journal ArticleDOI
The Bargaining Problem
TL;DR: In this paper, a new treatment is presented of a classical economic problem, one which occurs in many forms, as bargaining, bilateral monopoly, etc It may also be regarded as a nonzero-sum two-person game in which a few general assumptions are made concerning the behavior of a single individual and of a group of two individuals in certain economic environments.
Book ChapterDOI
Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility
TL;DR: The naive concept of social welfare as a sum of intuitively measurable and comparable individual cardinal utilities has been found unable to withstand the methodological criticism of the Pareto school as mentioned in this paper and Professor Bergson has therefore recommended its replacement by the more general concept of a social welfare function, defined as an arbitrary mathematical function of economic (and other social) variables, of a form freely chosen according to one's personal ethical (or political) value judgments.
Book
Infinite Dimensional Analysis: A Hitchhiker's Guide
TL;DR: In this paper, Riesz spaces are used to represent the topology of the space of sequences of sequences and correspondences of correspondences in Markov transitions, where the correspondences correspond to Markov transition.
Book
Fair Division: From Cake-Cutting to Dispute Resolution
Steven J. Brams,Alan D. Taylor +1 more
TL;DR: This chapter discusses jealousy-freeness and equitability for n=2, the divisible case, and applications for the point-allocation procedures.