In an incomplete asset market, firms compute the value of production plans by approximating them with the payoffs of portfolios of marketed assets; equivalently, by projecting their payoffs on the span of the payoffs of marketed assets; equivalently, they apply the capital asset pricing model...

The competitive equilibrium correspondence, which associates equilibrium prices of commodities and assets with allocations of endowments, identifies the preferences and beliefs of individuals under uncertainty; this is the case even if the asset market is incomplete.

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...

In an economy with a non-atomic measure space of assets and exchangeable risks, the Arbitrage Pricing Theory (APT) holds exactly; and factors are structurally specified, which allows for an economic interpretation.

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