The marriage model due to Gale and Shapley [Gale, D., L. S. Shapley. 1962. College admissions and the stability of marriage. Amer. Math. Monthly69 9--15] and the assignment model due to Shapley and Shubik [Shapley, L. S., M. Shubik. 1972. The assignment ...

Variational inequality representations are set up for a general Walrasian model of consumption and production with trading in a market. The variational inequalities are of functional rather than geometric type and therefore are able to accommodate a ...

We study the efficiency of oligopoly equilibria (OE) in congested markets. The motivating examples are the allocation of network flows in a communication network or of traffic in a transportation network. We show that increasing competition among ...

In this work, we solve completely the starting and stopping problem when the dynamics of the system are a general adapted stochastic process. We use backward stochastic differential equations (BSDEs) and Snell envelopes. Finally, we give some numerical ...

A discrete-time financial market model is considered with a sequence of investors whose preferences are described by their utility functions U_n, defined on the whole real line and assumed to be strictly concave and increasing. Under suitable hypotheses, ...