Economies with Asymmetrically Informed Agents: the Concept of Limit Information

In this paper, a new concept of "limit information" is introduced and studied for Arrow-Debreu type economies with asymmetrically informed agents. The concept is based on the so-called contractual approach that presumes that agents meet and form coalitions, where the concurrent exchange of commodities and information is realized. So, in the course of a natural exchange process, the agents' information is repeatedly transformed and accumulated, and agents learn and achieve limit information. It is proved that, for a monotone information sharing rule, limit information is unique, i.e., it does not depend of the chain of coalitions implemented in the process of interaction between economic agents.