In this paper we provide conditions under which a preference relation can be represented by concave utility functions. The condition follows naturally from a proof of a theorem about representability of continuous and weakly monotonic preference relations by continuous and weakly increasing...

We consider two-stage strategic choice problems in which a decision maker first chooses a strategy and subsequently an alternative from a non-empty subset of feasible alternatives that may depend on the strategy chosen in the first period. The preferences over alternatives that the decision...

In this paper we provide an axiomatic characterization of separable preferences over intertemporal opportunities satisfying “existences of a dummy alternative”. The two properties of preferences over intertemporal opportunities that implies and is implied by separability are the following:...

The purpose of this paper is to provide an alternative version of a generalized game, slightly different from the one provided in the seminal paper of Arrow and Debreu (1954). In this revised framework, we introduce the concept of a competitive equilibrium and show how it can be applied to a...

In this paper we provide two sufficient (though not necessary) conditions under which for a given profile of state-dependent preferences (linear orders) on a given and fixed set of alternatives, the set of alternatives alternative(s) which are individually preferred to all alternatives other...

In this paper we are concerned with numerical representation of preferences over bundles. Specifically, we provide an axiomatic characterization of preferences that have a numerical representation that look similar to a concave function defined on a convex set. We call such preferences concave....

In this paper we are concerned with the following question. Given an extended preference ordering under what conditions does there exist an empirical stochastic/social choice function which generates it? We use Farkas' lemma to obtain a necessary and sufficient condition under which such a...

In this paper we prove the existence of a competitive equilibrium and a bilateral oligopoly equilibrium in a two-period two-good trading model with production. In a static two good framework, trade can only take place only if there is sufficient diversity in the preferences of the consumers....