College admissions and the stability of marriage
D Gale, LS Shapley - The American Mathematical Monthly, 1962 - Taylor & Francis
1. Introduction. The problem with which we shall be concerned relates to the following typical
situation: A college is considering a set of n applicants of which it can admit a quota of only …
situation: A college is considering a set of n applicants of which it can admit a quota of only …
The law of supply and demand
D Gale - Mathematica scandinavica, 1955 - JSTOR
Let M be a market consisting of n goods Gj. A price vector p = (π1,..., πn) is a non-negative
vector such that Σ πj = 1, where πj is the unit price of Gj. A commodity bundle x = (ξ1,..., ξn) is a …
vector such that Σ πj = 1, where πj is the unit price of Gj. A commodity bundle x = (ξ1,..., ξn) is a …
[BOOK][B] The theory of linear economic models
D Gale - 1989 - books.google.com
In the past few decades, methods of linear algebra have become central to economic analysis,
replacing older tools such as the calculus. David Gale has provided the first complete and …
replacing older tools such as the calculus. David Gale has provided the first complete and …
Some remarks on the stable matching problem
D Gale, M Sotomayor - Discrete Applied Mathematics, 1985 - Elsevier
The stable matching problem is that of matching two sets of agents in such a manner that no
two unmatched agents prefer each other to their mates. We establish three results on …
two unmatched agents prefer each other to their mates. We establish three results on …
Multi-item auctions
G Demange, D Gale… - Journal of political …, 1986 - journals.uchicago.edu
A collection of items is to be distributed among several bidders, and each bidder is to receive
at most one item. Assuming that the bidders place some monetary value on each of the …
at most one item. Assuming that the bidders place some monetary value on each of the …
Infinite games with perfect information
D Gale, FM Stewart - Contributions to the Theory of Games, 1953 - degruyter.com
The notion of a game with perfect information has been defined by von Neumann and
Morgenstern [2]. The concept corresponds intuitively to games like checkers and chess in which …
Morgenstern [2]. The concept corresponds intuitively to games like checkers and chess in which …
On optimal development in a multi-sector economy
D Gale - The Review of Economic Studies, 1967 - academic.oup.com
The chief problem in the theory of dynamic economic planning is that of determining what
amounts of resources should be allocated to the production of current consumption goods and …
amounts of resources should be allocated to the production of current consumption goods and …
[PDF][PDF] An equilibrium existence theorem for a general model without ordered preferences
D Gale, A Mas-Colell - Journal of Mathematical Economics, 1975 - academia.edu
In a recent paper the second author has shown that some of the usual hypotheses on
consumers’ preferences are not needed for the proof of existence of a Walrasian General …
consumers’ preferences are not needed for the proof of existence of a Walrasian General …
The game of Hex and the Brouwer fixed-point theorem
D Gale - The American mathematical monthly, 1979 - Taylor & Francis
1. Introduction. The application of mathematics to games of strategy is now represented by a
voluminous literature. Recently there has also been some work which goes in the other …
voluminous literature. Recently there has also been some work which goes in the other …
Ms. Machiavelli and the stable matching problem
D Gale, M Sotomayor - The American Mathematical Monthly, 1985 - Taylor & Francis
… supervised by David Gale. Gale has been writing about games and economics on and off
since obtaining his Ph.D. in mathematics from Princeton at some uncertain date, believed to be …
since obtaining his Ph.D. in mathematics from Princeton at some uncertain date, believed to be …