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Partial Equilibrium Analysis in a Market Game:the Strategic Marshallian Cross

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Author Info
Alex Dickson () (Keele University, Department of Economics)
Roger Hartley () (Keele University, Department of Economics)

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Abstract

We show how non-price-taking behavior by agents in partial equilibrium can be analyzed using strategic versions of Marshallian supply and demand curves. There is a Nash equilibrium of a two-good, strategic market game at a given price if and only if the strategic supply and demand curves intersect at that price. This result allows us to prove new existence and uniqueness results for such games, which have previously been obtained only by imposing somewhat restrictive assumptions such as symmetry on each side of the market. It also enables us to show that many conventional comparative statics results of Marshallian analysis survive strategic play by buyers and sellers. Finally, we show that price manipulation in this game always has the effect of reducing supply and demand and that thick markets are almost competitive.

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Publisher Info
Paper provided by Centre for Economic Research, Keele University in its series Keele Economics Research Papers with number KERP 2004/07.

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Length: 36 pages
Date of creation: Sep 2004
Date of revision:
Handle: RePEc:kee:kerpuk:2004/07

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Postal: Department of Economics, University of Keele, Keele, Staffordshire, ST5 5BG - United Kingdom
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Web page: http://www.keele.ac.uk/depts/ec/cer/
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Postal: Centre for Economic Research, Research Institute for Public Policy and Management, Keele University, Staffordshire ST5 5BG - United Kingdom
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Related research
Keywords: Strategic Market Game; Imperfect Competition; Marshallian Cross;

Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

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References listed on IDEAS
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. Richard Cornes & Roger Hartley, 2002. "Joint Production Games with Mixed Sharing Rules," Game Theory and Information 0211003, EconWPA. [Downloadable!]
    Other versions:
  2. Gabszewicz, J. & Michel, P., 1992. "Oligopoly Equilibria in Exchange Economies," Papiers d'Economie Mathématique et Applications 92.26, Université Panthéon-Sorbonne (Paris 1).
    Other versions:
  3. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-68, October. [Downloadable!] (restricted)
  4. Richard Cornes & Roger Hartley, 2002. "Asymmetric Contests with General Technologies," Keele Economics Research Papers KERP 2002/22, Centre for Economic Research, Keele University. [Downloadable!]
    Other versions:
  5. Cordella, Tito & Gabszewicz, Jean J., 1998. ""Nice" Trivial Equilibria in Strategic Market Games," Games and Economic Behavior, Elsevier, vol. 22(1), pages 162-169, January. [Downloadable!] (restricted)
  6. Bloch, Francis & Ghosal, Sayantan, 1997. "Stable Trading Structures in Bilateral Oligopolies," Journal of Economic Theory, Elsevier, vol. 74(2), pages 368-384, June. [Downloadable!] (restricted)
  7. Vives, Xavier, 1987. "Small Income Effects: A Marshallian Theory of Consumer Surplus and Downward Sloping Demand," Review of Economic Studies, Blackwell Publishing, vol. 54(1), pages 87-103, January. [Downloadable!] (restricted)
  8. Cornes, Richard & Hartley, Roger, 2003. " Risk Aversion, Heterogeneity and Contests," Public Choice, Springer, vol. 117(1-2), pages 1-25, October. [Downloadable!] (restricted)
  9. Gabszewicz, Jean J & Grazzini, Lisa, 1999. " Taxing Market Power," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(4), pages 475-97. [Downloadable!] (restricted)
    Other versions:
  10. Giraud, Gael, 2003. "Strategic market games: an introduction," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 355-375, July. [Downloadable!] (restricted)
  11. Rabah Amir & Val E. Lambson, 1998. "On the Effects of Entry in Cournot Markets," CIE Discussion Papers 1998-06, University of Copenhagen. Department of Economics. Centre for Industrial Economics.
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  12. Bloch, Francis & Ferrer, Helene, 2001. "Trade Fragmentation and Coordination in Strategic Market Games," Journal of Economic Theory, Elsevier, vol. 101(1), pages 301-316, November. [Downloadable!] (restricted)
  13. Dubey, Pradeep & Shubik, Martin, 1978. "A theory of money and financial institutions. 28. The non-cooperative equilibria of a closed trading economy with market supply and bidding strategies," Journal of Economic Theory, Elsevier, vol. 17(1), pages 1-20, February. [Downloadable!] (restricted)
  14. Peck, James & Shell, Karl & Spear, Stephen E., 1992. "The market game: existence and structure of equilibrium," Journal of Mathematical Economics, Elsevier, vol. 21(3), pages 271-299. [Downloadable!] (restricted)
Full references

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. Ji-Tian Jeng, 2005. "Bayesian-Cournot Competition," Keele Economics Research Papers KERP 2005/01, Centre for Economic Research, Keele University. [Downloadable!]
  2. R Cornes & R Hartley, 2005. "The Geometry of Aggregative Games," The School of Economics Discussion Paper Series 0514, Economics, The University of Manchester. [Downloadable!]
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