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The strategic Marshallian cross

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Author Info
Dickson, Alex
Hartley, Roger

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Abstract

We prove existence and uniqueness of non-autarkic equilibria in bilateral oligopoly assuming only that preferences are binormal and satisfy a weakened version of gross substitutes. We permit complete heterogeneity of preferences and our analysis exploits the fact that payoffs depend only on own strategy and two universal aggregates. This allows us to define strategic versions of supply and demand curves such that non-autarkic Nash equilibria are in 1-1 correspondence with intersections of these curves. The same approach can be used to establish comparative statics under the assumptions above. As examples, we focus on adding players and changing endowments. This competitive approach also allows us to conclude that much of conventional Marshallian analysis is robust to strategic manipulation.

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File URL: http://www.sciencedirect.com/science/article/B6WFW-4RY8SPW-2/2/c5703ab35eb1f119dd5ef2baad4ca0db
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Publisher Info
Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 64 (2008)
Issue (Month): 2 (November)
Pages: 514-532
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Handle: RePEc:eee:gamebe:v:64:y:2008:i:2:p:514-532

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Web page: http://www.elsevier.com/locate/inca/622836

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Related research
Keywords: Strategic Marshallian cross Strategic manipulation Imperfect competition;

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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)
  1. Alex Dickson and & Roger Hartley, 2006. "On a foundation for Cournot equilibrium," The School of Economics Discussion Paper Series 0638, Economics, The University of Manchester. [Downloadable!]
    Other versions:
  2. Alex Dickson & Roger Hartley, 2009. "Bilateral oligopoly and quantity competition," Working Papers 09-22, University of Strathclyde Business School, Department of Economics. [Downloadable!]
  3. Alex Dickson & Roger Hartley, 2009. "Bilateral oligopoly and quantity competition," The School of Economics Discussion Paper Series 0911, Economics, The University of Manchester. [Downloadable!]
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This page was last updated on 2009-12-30.


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