Journal ArticleDOI
On cores and indivisibility
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In this paper, an economic model of trading in commodities that are inherently indivisible, like houses, is investigated from a game-theoretic point of view, and the concepts of balanced game and core are developed, and a general theorem of Scarf's is applied to prove that the market in question has a nonempty core, that is, at least one outcome that no subset of traders can improve upon.About:
This article is published in Journal of Mathematical Economics.The article was published on 1974-03-01. It has received 1232 citations till now. The article focuses on the topics: Core (game theory) & Outcome (game theory).read more
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Two-Sided Matching: A Study in Game-Theoretic Modeling and Analysis
Alvin E. Roth,Marilda Sotomayor +1 more
TL;DR: The marriage model and the labor market for medical interns, a simple model of one seller and many buyers, and Discrete models with money, and more complex preferences are examined.
Journal ArticleDOI
School Choice: A Mechanism Design Approach
TL;DR: In this article, the authors formulate the school choice problem as a mechanism design problem and analyze some of the existing school choice plans including those in Boston, Columbus, Minneapolis, and Seattle, and offer two alternative mechanisms each of which may provide a practical solution to some critical school choice issues.
Journal ArticleDOI
Job matching, coalition formation, and gross substitutes
TL;DR: In this article, the authors studied competitive adjustment processes in labor markets with perfect information but heterogeneous firms and workers and showed that equilibrium in such markets exists and is stable, in spite of workers' discrete choices among jobs, provided that all workers are gross substitutes from each firm's standpoint.
Journal ArticleDOI
The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory
TL;DR: The organization of the labor market for medical interns and residents underwent a number of changes before taking its present form in 1951, and the record of these changes and the problems that prompt them can be found in this paper.
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The Economist as Engineer: Game Theory, Experimentation, and Computation as Tools for Design Economics
TL;DR: In this article, the authors make the case that experimental and computational economics are natural complements to game theory in the work of design, and that some of the challenges facing both markets involve related kinds of complementarities.
References
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Journal ArticleDOI
College Admissions and the Stability of Marriage
David Gale,Lloyd S. Shapley +1 more
TL;DR: In this article, the authors studied the relationship between college admission and the stability of marriage in the United States, and found that college admission is correlated with the number of stable marriages.
Journal ArticleDOI
The assignment game I: The core
Lloyd S. Shapley,Martin Shubik +1 more
TL;DR: In this article, it was shown that the optimal assignment game is a dual problem of a linear programming problem dual to optimal assignment, and that these outcomes correspond exactly to the price lists that competitively balance supply and demand.
Journal ArticleDOI
On balanced sets and cores
TL;DR: In this paper, the authors established a direct correspondence between the balanced sets of coalitions of a multi-person game and the conditions that determine whether the game has a core, and showed that such a correspondence can be found for any game.
Book
The theory of linear economic models
TL;DR: Gale as discussed by the authors provides a complete and lucid treatment of important topics in mathematical economics which can be analyzed by linear models, including games, linear programming, and the Neumann model of growth.