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Aggregation in a Model of Price Competition

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  • Peitz, Martin

Abstract

In a model of price competition single-product ¯rms compete for consumers. Consumerspurchase a variable quantity of one of the di®erentiated goods. The paper provides results onequilibrium existence when consumers are heterogeneous in their evaluation of the di®erentiatedgoods among each other, their evaluation of the di®erentiated goods relative to the outside good,and heterogeneous in income. Furthermore, I provide su±cient conditions for dominance solvabilityand monotone comparative statics.
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  • Peitz, Martin, 2000. "Aggregation in a Model of Price Competition," Journal of Economic Theory, Elsevier, vol. 90(1), pages 1-38, January.
    • Handle: RePEc:eee:jetheo:v:90:y:2000:i:1:p:1-38
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    1. Grandmont, Jean-Michel, 1993. "Behavioural heterogeneity and Cournot oligopoly equilibrium," Ricerche Economiche, Elsevier, vol. 47(2), pages 167-187, June.
    2. Milgrom, Paul & Roberts, John, 1991. "Adaptive and sophisticated learning in normal form games," Games and Economic Behavior, Elsevier, vol. 3(1), pages 82-100, February.
    3. Peitz, Martin, 1997. "Differentiated Bertrand duopoly with variable demand," Research in Economics, Elsevier, vol. 51(2), pages 85-100, June.
    4. Grandmont, Jean-Michel, 1987. "Distributions of Preferences and the 'Law of Demand.'," Econometrica, Econometric Society, vol. 55(1), pages 155-161, January.
    5. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
    6. Roberts, John & Sonnenschein, Hugo, 1977. "On the Foundations of the Theory of Monopolistic Competition," Econometrica, Econometric Society, vol. 45(1), pages 101-113, January.
    7. Curtis Eaton, B. & Lipsey, Richard G., 1989. "Product differentiation," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 1, chapter 12, pages 723-768, Elsevier.
    8. Paul Klemperer, 1995. "Competition when Consumers have Switching Costs: An Overview with Applications to Industrial Organization, Macroeconomics, and International Trade," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 62(4), pages 515-539.
    9. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-1028, July.
    10. Tan, Tommy Chin-Chiu & da Costa Werlang, Sergio Ribeiro, 1988. "The Bayesian foundations of solution concepts of games," Journal of Economic Theory, Elsevier, vol. 45(2), pages 370-391, August.
    11. Russell Cooper & Andrew John, 1988. "Coordinating Coordination Failures in Keynesian Models," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(3), pages 441-463.
    12. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
    13. Martin Peitz, 1999. "A difficulty with the address models of product differentiation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(3), pages 717-727.
    14. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Social Choice: A Mean Voter Theorem," Econometrica, Econometric Society, vol. 59(1), pages 1-23, January.
    15. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
    16. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
    17. Barnett,William A. & Cornet,Bernard & D'Aspremont,Claude & Gabszewicz,Jean & Mas-Colell,Andreu (ed.), 1991. "Equilibrium Theory and Applications," Cambridge Books, Cambridge University Press, number 9780521392198, January.
    18. Dierker, Egbert & Dierker, Hildegard & Trockel, Walter, 1984. "Price-dispersed preferences and C1 mean demand," Journal of Mathematical Economics, Elsevier, vol. 13(1), pages 11-42, April.
    19. Milgrom, Paul & Roberts, John, 1990. "The Economics of Modern Manufacturing: Technology, Strategy, and Organization," American Economic Review, American Economic Association, vol. 80(3), pages 511-528, June.
    20. Paul Milgrom & John Roberts, 2010. "Adaptive and Sophisticated Learning in Repeated Normal-Form Games," Levine's Working Paper Archive 418, David K. Levine.
    21. R. Schmalensee & R. Willig (ed.), 1989. "Handbook of Industrial Organization," Handbook of Industrial Organization, Elsevier, edition 1, volume 2, number 2.
    22. Martin Peitz, 2002. "Price equilibrium in address models of product differentiation: unit-elastic demand," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(4), pages 849-860.
    23. Martin Peitz, 1998. "- Two-Stage Models Of Product Differentiation With Unit-Elastic Demand," Working Papers. Serie AD 1998-18, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    24. Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762, January.
    25. R. Schmalensee & R. Willig (ed.), 1989. "Handbook of Industrial Organization," Handbook of Industrial Organization, Elsevier, edition 1, volume 1, number 1.
    26. Mas-Colell, Andreu & Neuefeind, Wilhelm, 1977. "Some Generic Properties of Aggregate Excess Demand and an Application," Econometrica, Econometric Society, vol. 45(3), pages 591-599, April.
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    1. Alexandrov, Alexei & Bedre-Defolie, Özlem, 2017. "LeChatelier–Samuelson principle in games and pass-through of shocks," Journal of Economic Theory, Elsevier, vol. 168(C), pages 44-54.
    2. Rabah Amir, 2005. "Supermodularity and Complementarity in Economics: An Elementary Survey," Southern Economic Journal, John Wiley & Sons, vol. 71(3), pages 636-660, January.
    3. Margaret Aksoy-Pierson & Gad Allon & Awi Federgruen, 2013. "Price Competition Under Mixed Multinomial Logit Demand Functions," Management Science, INFORMS, vol. 59(8), pages 1817-1835, August.
    4. Alexander Konovalov & Zsolt Sándor, 2010. "On price equilibrium with multi-product firms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(2), pages 271-292, August.
    5. Sándor, Z., 2004. "On price equilibrium with multi-product firms," Econometric Institute Research Papers EI 2004-50, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.

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