Journal Of The Econometric Society

An International Society for the Advancement of Economic
Theory in its Relation to Statistics and Mathematics

Edited by: Guido W. Imbens • Print ISSN: 0012-9682 • Online ISSN: 1468-0262

Econometrica: May, 1978, Volume 46, Issue 3

Competitive Exchange<577:CE>2.0.CO;2-3
p. 577-585

Robert Wilson

In this paper the process of exchange is formulated as a noncooperative game. The game is analogous to the familiar institution of competitive bidding in a sealed-tender auction in which one agent (the auctioneer) chooses among trades offered by the other agents (the bidders). Using various regularity assumptions it is shown that this noncooperative game has a Nash equilibrium which yields an allocation in the core of the corresponding cooperative game of exchange. Also, as the bidders are replicated by division this allocation (aggregated by types) converges to a Walrasian allocation in which each type's budget constraint (using the efficiency prices) is satisfied. Thus it appears that bidding is a competitive process for achieving a cooperative outcome, and in the limit, a market outcome.

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