We give a functional description of the space of stochastic integrals with respect to a given family of martingales, based on the notion of direct integral of Hilbert spaces. We define the multiplicity function of a filtration and show, using our Hilbert space construction, that the multiplicity...

This paper constructs a model of an exchange economy in which bankruptcy arises in a manner similar to what we observe. Compared to related models, this model is a more realistic representation of some markets in which intertemporal assets are traded. Using standard and natural assumptions, it...

Using differential games, this paper analyzes output controls of internationally shared renewable resources such as transboundary natural forests. A two-country, two-good (that is, shared-resource and nonresource based goods) general equilibrium trading model is employed for this purpose. Each...

An Equivalence Theorem between geometric structures and utility functions allows new methods for understanding preferences. Our classification of valuations into "Demand Types" incorporates existing definitions (substitutes, complements, "strong substitutes", etc.) and permits new ones. Our...

In this paper, I construct a model of an exchange economy in which bankruptcy arises in a manner similar to what we observe. This model is a more realistic representation of some markets in which intertemporal assets are traded. Using standard and natural assumptions, I show that every economy...

Adam Smith set economists and examination question: what determines long-run normal prices and the associated rate of profit. The fundamental difficulty is that the long-run equilibrium prices of reproducible means of production (Smith's “natural” prices) must satisfy two conditions at the...

Stable matchings in the presence of complementarities need not exist. With a canonical form of payoff functions, the conventional sufficient condition for existence substantially restricts the range of pairwise complementarity/substitutability values. This paper provides a new sufficient...

In this paper, Anything Goes: The Sonnenschein-Mantel-Debreu theorem (following the work of Sonnenchein (1972, 1973), Mantel (1974), and Debreu (1974)), has been applied to incomplete markets, Bottazzi, J.-M. and T. Hens (1996), in order to test the Ricardian equivalence hypothesis. In the...

We propose a criterion for determining whether a local policy analysis can be made in a given equilibrium in an overlapping generations model. The criterion can be applied to models with infinite past and future as well as those with a truncated past. The equilibrium is not necessarily a steady...

This paper describes a general framework for equilibrium selection by tracing the graph of the quantal response equilibrium (QRE) correspondence as a function of the estimation error. If a quantal response function satisfies C2 continuity, monotonicity and cumulativity, the graph of QRE...