In this paper we show that for every nonempty convex compact subset K of a finite dimensional space E there exists a Lipschitz function F: E → R, such that ∂F, generalized gradient of F in the sense of Clarke [4] is equal everywhere to K.

An information-theoretic thought experiment is developed to provide a methodology for predicting endowment distributions in the absence of information on agent preferences. The allocation problem is first presented as a stylised knapsack problem. Although this knapsack allocation is intractable,...

This paper develops a method to compute the equilibrium correspondence for exchangeeconomies with semi-algebraic preferences. Given a class of semi-algebraic exchange economiesparameterized by individual endowments and possibly other exogenous variables such as prefer-ence parameters or asset...

An information-theoretic thought experiment is developed to provide a methodology for predicting endowment distributions in the absence of information on agent preferences. The allocation problem is first presented as a stylised knapsack problem. Although this knapsack allocation is intractable,...

In this paper we find a geometrical characterization of some components of the theory of equilibrium Walrasian and the existence of these in a pure exchange economy with heterogeneous agents where there are r goods and m agents. It will be proven that this economics admit stratification, for...

In the marriage model, Becker (1973) found that positive (or negative) sorting is efficient with supermodular (or submodular) match payoffs. But characterizing the optimal matching with general production remains unsolved decades later.Rather than tackle this difficult open problem, we instead...

A nonstandard counterpart to the results of Allen and Hellwig (1986) on the convergence of a Bertrand-Edgeworth equilibrium arising out of price setting by firms operating under capacity constraint into a Walrasian (or competitive) equilibrium is presented and analyzed

Following Becker (1962), an information-theoretical thought experiment is developed to investigate whether the equilibrium properties of an exchange economy depend on the rational behaviour of agents. Transactions are logged through a communication channel into an external observer's dataset,...

An information-theoretic thought experiment is developed to provide a methodology for predicting endowment distributions in the absence of information on agent preferences. The allocation problem is first presented as a stylised knapsack problem. Although this knapsack allocation is intractable,...