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Many procedures have been suggested for the venerable problem of dividing a set of indivisible items between two players. We propose a new algorithm (AL), related to one proposed by Brams and Taylor (BT), which requires only that the players strictly rank items from best to worst. Unlike BT, in...
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A cake is a metaphor for a heterogeneous, divisible good, such as land. A perfect division of cake is efficient (also called Pareto-optimal), envy-free, and equitable. We give an example of a cake in which it is impossible to divide it among three players such that these three properties are...
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For the classical marriage model (introduced in Gale and Shapley, 1962) efficiency and envy-freeness are not always …
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for all objects j. Our first main result is a characterization of problems for which efficiency, envy-freeness, and …
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An attempt is made in this article to redefine underemployment and unemployment without making reference to an excess supply of labor or any causal mechanism of unemployment. Instead, underemployment and unemployment are defined in terms of equity which draws upon the individual's preferences. A...
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