Extrinsic uncertainty is effective at a competitive equilibrium. This is generic if spot markets are inoperative: the only objects of exchange are assets for the contingent delivery of commodities; and the asset market is incomplete. The structure of payoffs of assets may allow for non-trivial...

Individuals exchange contracts for the delivery of commodities in competitive markets and, simultaneously, act strategically; actions affect utilities across individuals directly or through the payoffs of contracts. This encompasses economies with asymmetric information, Nash-Walras equilibria...

At a Nash-Walras equilibrium, individuals exchange commodities competitively, and, simultaneously, they interact strategically. Under standard assumptions, Nash-Walras equilibria exist, equilibrium profiles of actions are, typically, determinate byt Pareto suboptimal, though not constrained...

The asset market is incomplete. Fix-price equilibria exist. Price regulation Pareto improves on a competitive allocation. Prices in competitive markets may fail to attain equilibrium. The theory of general competitive equilibrium does not account for the adjustment of prices; empirical evidence...

In this paper we exploit global analysis to explore welfare properties of a standard one-commodity GEI, under different notions of constrained Pareto optimality. In a unifying framework we revise and extend some of the leading results of the literature on incomplete markets and government...

When the asset market is incomplete,there typically exist taxes on trades in assets and a redistribution of revenue in the asset market that are Pareto improving. The policy is anonymous,it economizes on complexity,and it re- sults in ex post Pareto optimal allocations ; it is publicly announced...

At arbitrary prices of commodities and assets, fix-price equilibria exist under weak assumptions: endowments need not satisfy an interiority condition, utility functions need only satisfy very weak monotonicity requirement, and the asset return matrix allows for redundant assets. Prices of...

The critical role of free entry to correct inherent deviance behavior has been stressed by Vanek (1970), Meade (1972) amongst others. The equivalence theorem (Dreze 1976) defines that labour and entrepreneurial management both lead to the same Pareto optimal equilibrium provided that there is...

In this paper we study the concepts of equilibrium and optimum in static transportation networks with elastic and non-elastic demands. The main mathematical tool of our paper is the theory of variational inequalities. We demonstrate that this theory is useful for proving the existence theorems....