We study the convexity property of the set of arbitrage-free prices for a multi-period financial exchange economy. We provide sufficient conditions for the set of arbitrage-free prices to be a convex cone, which includes 2-date model. Further we show that a financial exchange economy with the...

We consider the model of a financial exchange economy with finitely many periods having financial restricted participation i.e., each agents portfolio choice is restricted to a closed convex set containing zero, as in Siconolfi [1989]. Time and uncertainty are represented by a finite event-tree....

We consider a 2-date model of a financial exchange economy with finitely many agents having non-ordered preferences and portfolio constraints. There is a market for physical commodities for every state today and tomorrow, and financial transfers across time and states are allowed by means of...

In a financial economy with asymmetric information and incomplete markets, we study how agents, having no model of how equilibrium prices are determined, may still refine their information by eliminating sequentially "arbitrage state(s)", namely, the state (s) which would grant the agent an...

This paper proves the existence of a pseudo-equilibrium in a financial economy with incomplete markets in which the agents may have nonordered preferences. We will use a fixed-point-like theorem of Bich and Cornet that generalizes the results by Hirsch, Magill, Mas-Colell [18] and Husseini,...

We consider a multiperiod financial exchange economy with nominal assets and restricted participation, where each agent's portfolio choice is restricted to a closed, convex set containing zero, as in Siconolfi (1989). Using an approach that dates back to Cass (1984, 2006) in the unconstrained...

We consider a two-date model of a financial exchange economy with finitely many agents having nonordered preferences and portfolio constraints. There is a market for physical commodities at any state today or tomorrow and financial transfers across time and across states are allowed by means of...

We consider a stochastic financial exchange economy with a finite date-event tree representing time and uncertainty and a nominal financial structure with possibly long-term assets. We exhibit a sufficient condition under which the payoff matrix and the full payoff matrix have the same rank....