In this paper we establish an index formula for a marginal pricing production economy and we prove the uniqueness of the equilibrium under a monotonicity assumption on the excess demand function and the local second order sufficient conditions for profit maximization. Our result generalizes...

Contributed Paper presented at the International Conference on Agriculture Of Ouagadougou (BURKINA FASO), December 4-6, 2010.

This paper is a revision of my paper, CFDP 1865. The principal innovation is an equivalent reformulation of the decision problem for weak feasibility of the GE inequalities, using polynomial time ellipsoid methods, as a semidefinite optimization problem, using polynomial time interior point...

We question a deep-ingrained doctrine in asset pricing: If an empirical characteristic-return relation is consistent with investor "rationality," the relation must be "explained" by a risk factor model. The investment approach changes the big picture of asset pricing. Factors formed on...

The paper investigates the term structure of interest rates imposed by equilibrium in a production economy consisting of participants with heterogeneous preferences. Consumption is restricted to an arbitrary number of discrete times. The paper contains an exact solution to market equilibrium and...

In this paper we prove the existence of general equilibrium with transaction costs generalizing Hahn's (Review of Economic Studies, 1973, 40, 449-461) model by introducing producers and nonconvexities (in particular we allow for increasing returns in transaction sets). We also recover any...

With L∞ as the commodity space, the equilibrium price density is shown to be a continuous function of the commodity characteristics. The result is based on symmetry ideas from the Hardy-Littlewood-Pólya theory of rearrangements; and it includes, but is not limited to, the case of symmetric...

Lloyd Shapley is considered one of the pioneers of game theory. His most prominent contributions are the inception and study of value theory and core theory. These two theories are the key to solving problems involving the allocation of goods or payoffs achievable through cooperation....