Cournot-Walras equilibrium as a subgame perfect equilibrium
Busetto, Francesca, Codognato, Giulio and Ghosal, Sayantan (2008) Cournot-Walras equilibrium as a subgame perfect equilibrium. Working Paper. Coventry: University of Warwick Economics Department. Warwick economic research papers (No.837).
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In this paper, we investigate the problem of the strategic foundation of the Cournot-Walras equilibrium approach. To this end, we
respecify à la Cournot-Walras the mixed version of a model of simultaneous, noncooperative exchange, originally proposed by Lloyd S.
Shapley. We show, through an example, that the set of the Cournot-
Walras equilibrium allocations of this respecifcation does not coincide
with the set of the Cournot-Nash equilibrium allocations of the mixed
version of the original Shapley's model. As the nonequivalence, in a
one-stage setting, can be explained by the intrinsic two-stage nature of
the Cournot-Walras equilibrium concept, we are led to consider a further reformulation of the Shapley's model as a two-stage game, where
the atoms move in the first stage and the atomless sector moves in
the second stage. Our main result shows that the set of the Cournot-Walras equilibrium allocations coincides with a specific set of subgame
perfect equilibrium allocations of this two-stage game, which we call
the set of the Pseudo-Markov perfect equilibrium allocations.
|Item Type:||Working or Discussion Paper (Working Paper)|
|Subjects:||H Social Sciences > HB Economic Theory|
|Divisions:||Faculty of Social Sciences > Economics|
|Library of Congress Subject Headings (LCSH):||Game theory, Noncooperative games (Mathematics), Equilibrium (Economics)|
|Series Name:||Warwick economic research papers|
|Publisher:||University of Warwick Economics Department|
|Place of Publication:||Coventry|
|Official Date:||January 2008|
|Number of Pages:||23|
|Status:||Not Peer Reviewed|
|Access rights to Published version:||Open Access|
|Version or Related Resource:||Busetto, F., Codognato, G. and Ghosal, S. (2008). Cournot-Walras equilibrium as a subgame perfect equilibrium. International Journal of Game Theory, 37(3), pp. 371-386. http://wrap.warwick.ac.uk/id/eprint/29123|
 Aliprantis C.D., Border K.C. (1999), Infinite dimensional analysis,
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