We show that all the fundamental properties of competitive equilibrium in Marshall's theory of value, as presented in Note XXI of the mathematical appendix to his Principles of Economics (1890), derive from the Strong Law of Demand. This is, existence, uniqueness, optimality, global stability of...

The literature on school choice assumes that families can submit a preference list over all the schools they want to be assigned to. However, in many real-life instances families are only allowed to submit a list containing a limited number of schools. Subjects' incentives are drastically...

The literature on school choice assumes that families can submit a preference list over all the schools they want to be assigned to. However, in many real-life instances families are only allowed to submit a list containing a limited number of schools. Subjects' incentives are drastically...

The set of possible outcomes of a strongly ordinal bimatrix game is studied by imbedding each pair of possible payoffs as a point on the standard two-dimensional integral lattice. In particular, we count the number of different Pareto optimal sets of each cardinality; we establish asymptotic...

This is a sketch of a game theoretic and gaming approach to the development of an appropriate microeconomic theory of money and financial institutions. The phrase "money and financial institutions" is used to stress that a theory of money alone cannot be fruitfully constructed in an...

This is the first projected series of papers on solutions to games in matrix and extensive form.

We introduce a model of the 2 x 2 games played by agents or subordinates of the players. We assume that each agent or subordinates of the players. We assume that each agent is not as perceptive as his commander in that he can make only two distinctions among the four outcomes whose value can be...