G. Codognato
Atomic Cournotian Traders May Be Walrasian
Codognato, G.; Ghosal, S.; Tonin, S.
Authors
S. Ghosal
S. Tonin
Abstract
In a bilateral oligopoly, with large traders, represented as atoms, and small traders, represented by an atomless part, when is there a nonempty intersection between the sets of Walras and Cournot–Nash allocations? Using a two-commodity version of the Shapley window model, we show that a necessary and sufficient condition for a Cournot–Nash allocation to be a Walras allocation is that all atoms demand a null amount of one of the two commodities. We provide four examples which show that this characterization holds non-vacuously. When our condition fails to hold, we also confirm, through some examples, the result obtained by Okuno et al. (1980): small traders always have a negligible influence on prices, while the large traders keep their strategic power even when their behavior turns out to be Walrasian in the cooperative framework considered by Gabszewicz and Mertens (1971) and Shitovitz (1973).
Citation
Codognato, G., Ghosal, S., & Tonin, S. (2015). Atomic Cournotian Traders May Be Walrasian. Journal of Economic Theory, 159(Part A), 1-14. https://doi.org/10.1016/j.jet.2015.05.005
Journal Article Type | Article |
---|---|
Acceptance Date | May 11, 2015 |
Online Publication Date | May 21, 2015 |
Publication Date | Sep 1, 2015 |
Deposit Date | Sep 28, 2015 |
Publicly Available Date | Nov 21, 2016 |
Journal | Journal of Economic Theory |
Print ISSN | 0022-0531 |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 159 |
Issue | Part A |
Pages | 1-14 |
DOI | https://doi.org/10.1016/j.jet.2015.05.005 |
Keywords | Walras equilibrium, Core, Cournot–Nash equilibrium, Mixed exchange economies. |
Public URL | https://durham-repository.worktribe.com/output/1401922 |
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Copyright Statement
© 2015 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
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