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Cournot-Walras equilibrium as a subgame perfect equilibrium
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Busetto, Francesca, Codognato, Giulio and Ghosal, Sayantan (2008) Cournot-Walras equilibrium as a subgame perfect equilibrium. International Journal of Game Theory, Volume 37 (Number 3). pp. 371-386. doi:10.1007/s00182-008-0123-8 ISSN 0020-7276.
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Official URL: http://dx.doi.org/10.1007/s00182-008-0123-8
Abstract
In this paper, we investigate the problem of the strategic foundation of the Cournot-Walras equilibrium approach. To this end, we respecify a 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 respecification 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: | Journal Article | ||||
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Subjects: | H Social Sciences > HB Economic Theory Q Science > QA Mathematics |
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Divisions: | Faculty of Social Sciences > Economics | ||||
Library of Congress Subject Headings (LCSH): | Game theory, Noncooperative games (Mathematics), Equilibrium (Economics) | ||||
Journal or Publication Title: | International Journal of Game Theory | ||||
Publisher: | Springer | ||||
ISSN: | 0020-7276 | ||||
Official Date: | November 2008 | ||||
Dates: |
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Volume: | Volume 37 | ||||
Number: | Number 3 | ||||
Number of Pages: | 16 | ||||
Page Range: | pp. 371-386 | ||||
DOI: | 10.1007/s00182-008-0123-8 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Version or Related Resource: | Busettoy, F., Codognatoz, G., and Ghosal, S. (2008). Cournot-Walras equilibrium as a subgame perfect equilibrium. [Coventry]: University of Warwick, Department of Economics. (Warwick economic research papers, no.837). http://wrap.warwick.ac.uk/id/eprint/219 | ||||
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