Journal article

Hotelling competition and the gamma distribution

Abstract:: I show that in any symmetric Nash equilibrium of Hotelling's pure location game, as the number of firms becomes large, the limiting distribution of market shares converges to a Gamma() distribution. Remarkably, this is true regardless of the distribution of consumers. The proof for the invariance of the limiting market share distribution builds on results from the theory of statistical spacings.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Tarbush, B. (2018). Hotelling competition and the gamma distribution. Games and Economic Behavior, 111, 222–240.

MLA Style

Tarbush, B. “Hotelling Competition and the Gamma Distribution.” Games and Economic Behavior, vol. 111, 2018, pp. 222–40.

Chicago Style

Tarbush, B. 2018. “Hotelling Competition and the Gamma Distribution.” Games and Economic Behavior 111: 222–40.
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Files:: draft_ORA_corrected.pdf

(Preview, Accepted manuscript, pdf, 662.2KB, Terms of use)

Publisher copy:: 10.1016/j.geb.2018.06.009

Authors

+ Tarbush, B More by this author

Institution:: University of Oxford
Oxford college:: Merton College
Role:: Author

Publisher:: Elsevier
Journal:: Games and Economic Behavior More from this journal
Volume:: 111
Pages:: 222-240
Publication date:: 2018-07-17
Acceptance date:: 2018-07-12
DOI:: 10.1016/j.geb.2018.06.009
ISSN:: 0899-8256

Keywords:: Hotelling’s pure location game

gamma distribution

market structure

spatial games

statistical spacings
Pubs id:: pubs:833710
UUID:: uuid:d05e4eff-e098-40cb-aa1b-6c5ef83d2d63
Local pid:: pubs:833710
Source identifiers:: 833710
Deposit date:: 2018-08-10
ARK identifier:: ark:/29072/ora_d05e4effe09840cbaa1b6c5ef83d2d63

Terms of use

Copyright holder:: Elsevier Inc
Copyright date:: 2018
Notes:: Copyright © 2018 Elsevier Inc. This is the accepted manuscript version of the article. The final version is available online from Elsevier at: https://doi.org/10.1016/j.geb.2018.06.009

Licence:: CC Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND)

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