The strategic Marshallian cross
AbstractWe 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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Bibliographic InfoPaper provided by Centre for Economic Research, Keele University in its series Keele Economics Research Papers with number KERP 2007/13.
Length: 28 pages
Date of creation: Oct 2007
Date of revision:
Note: This is the revised version of an earlier paper, first circulated as Keele Economics Research Paper 04/07 and University of Manchester Economics Discussion Paper 0523, under different titles.
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Other versions of this item:
- 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
This paper has been announced in the following NEP Reports:
- NEP-ALL-2007-11-10 (All new papers)
- NEP-COM-2007-11-10 (Industrial Competition)
- NEP-CSE-2007-11-10 (Economics of Strategic Management)
- NEP-GTH-2007-11-10 (Game Theory)
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- Amir, Rabah & Sahi, Siddharta & Shubik, Martin & Yao, Shuntian, 1990.
"A strategic market game with complete markets,"
Journal of Economic Theory,
Elsevier, vol. 51(1), pages 126-143, June.
- Corchon, Luis C., 1994. "Comparative statics for aggregative games the strong concavity case," Mathematical Social Sciences, Elsevier, vol. 28(3), pages 151-165, December.
- Bloch, Francis & Ghosal, Sayantan, 1997.
"Stable Trading Structures in Bilateral Oligopolies,"
Journal of Economic Theory,
Elsevier, vol. 74(2), pages 368-384, June.
- BLOCH, Francis & GHOSAL, Sayantan, 1994. "Stable Trading Structures in Bilateral Oligopolies," CORE Discussion Papers 1994056, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Novshek, William., 1984.
"On the Existence of Cournot Equilibrium,"
517, California Institute of Technology, Division of the Humanities and Social Sciences.
- Richard Cornes & Roger Hartley, 2002.
"Asymmetric Contests with General Technologies,"
Keele Economics Research Papers
KERP 2002/22, Centre for Economic Research, Keele University.
- 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.
- Cornes, Richard & Hartley, Roger, 2003. " Risk Aversion, Heterogeneity and Contests," Public Choice, Springer, vol. 117(1-2), pages 1-25, October.
- Hartley, Roger & Richard Cornes, 2003.
"Joint Production Games with Mixed Sharing Rules,"
Royal Economic Society Annual Conference 2003
99, Royal Economic Society.
- Richard Cornes & Roger Hartley, 2002. "Joint Production Games with Mixed Sharing Rules," Keele Economics Research Papers KERP 2002/16, Centre for Economic Research, Keele University.
- Richard Cornes & Roger Hartley, 2002. "Joint Production Games with Mixed Sharing Rules," Game Theory and Information 0211003, EconWPA.
- Giraud, Gael, 2003. "Strategic market games: an introduction," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 355-375, July.
- Vives, Xavier, 1987. "Small Income Effects: A Marshallian Theory of Consumer Surplus and Downward Sloping Demand," Review of Economic Studies, Wiley Blackwell, vol. 54(1), pages 87-103, January.
- 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.
- 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.
- 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.
- Alex Dickson & Roger Hartley, 2009.
"Bilateral oligopoly and quantity competition,"
0922, University of Strathclyde Business School, Department of Economics.
- Dickson Alex, 2013. "Cobb-Douglas preferences in bilateral oligopoly," Working Papers 1306, University of Strathclyde Business School, Department of Economics.
- Alex Dickson, 2013. "The Effects of Entry in Bilateral Oligopoly," Games, MDPI, Open Access Journal, vol. 4(3), pages 283-303, June.
- Richard Cornes & Roger Hartley & Yuji Tamura, 2010.
"A New Approach to Solving Production-Appropriation Games with Many Heterogeneous Players,"
CESifo Working Paper Series
3060, CESifo Group Munich.
- Richard Cornes & Roger Hartley & Yuji Tamura, 2010. "A New Approach to Solving Production-Appropriation Games with Many Heterogeneous Players," ANU Working Papers in Economics and Econometrics 2010-521, Australian National University, College of Business and Economics, School of Economics.
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