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Aggregative games and oligopoly theory: short‐run and long‐run analysis
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Aggregative games and oligopoly theory: short‐run and long‐run analysis

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  • Simon P. Anderson
  • Nisvan Erkal
  • Daniel Piccinin

Abstract

We compile an IO toolkit for aggregative games with positive and normative comparative statics results for asymmetric oligopoly in the short and long run. We characterize the class of aggregative Bertrand and Cournot oligopoly games, and the subset for which the aggregate is a summary statistic for consumer welfare. We close the model with a monopolistically competitive fringe for long‐run analysis. Remarkably, we show strong neutrality properties in the long run across a wide range of market structures. The results elucidate aggregative games as a unifying principle in the literature on merger analysis, privatization, Stackelberg leadership, and cost shocks.

Suggested Citation

  • Simon P. Anderson & Nisvan Erkal & Daniel Piccinin, 2020. "Aggregative games and oligopoly theory: short‐run and long‐run analysis," RAND Journal of Economics, RAND Corporation, vol. 51(2), pages 470-495, June.
  • Handle: RePEc:bla:randje:v:51:y:2020:i:2:p:470-495
    DOI: 10.1111/1756-2171.12322
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    as
    1. Federico Etro, 2006. "Aggressive leaders," RAND Journal of Economics, RAND Corporation, vol. 37(1), pages 146-154, March.
    2. Michael Spence, 1976. "Product Selection, Fixed Costs, and Monopolistic Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(2), pages 217-235.
    3. Anderson, Simon P. & de Palma, Andre & Thisse, Jacques-Francois, 1997. "Privatization and efficiency in a differentiated industry," European Economic Review, Elsevier, vol. 41(9), pages 1635-1654, December.
    4. Hiroaki Ino & Toshihiro Matsumura, 2012. "How Many Firms Should Be Leaders? Beneficial Concentration Revisited," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 53(4), pages 1323-1340, November.
    5. Davidson, Carl & Mukherjee, Arijit, 2007. "Horizontal mergers with free entry," International Journal of Industrial Organization, Elsevier, vol. 25(1), pages 157-172, February.
    6. Richard Cornes & Roger Hartley, 2005. "Asymmetric contests with general technologies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 923-946, November.
    7. Ken-Ichi Shimomura & Jacques-François Thisse, 2012. "Competition among the big and the small," RAND Journal of Economics, RAND Corporation, vol. 43(2), pages 329-347, June.
    8. Federico Etro, 2011. "Endogenous Market Structures And Strategic Trade Policy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(1), pages 63-84, February.
    9. repec:bla:jindec:v:49:y:2001:i:2:p:113-35 is not listed on IDEAS
    10. Arijit Mukherjee, 2012. "Social Efficiency of Entry with Market Leaders," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 21(2), pages 431-444, June.
    11. Volker Nocke & Nicolas Schutz, 2018. "An Aggregative Games Approach to Merger Analysis in Multiproduct-Firm Oligopoly," CRC TR 224 Discussion Paper Series crctr224_2018_024, University of Bonn and University of Mannheim, Germany.
    12. Federico Etro, 2008. "Stackelberg Competition with Endogenous Entry," Economic Journal, Royal Economic Society, vol. 118(532), pages 1670-1697, October.
    13. William Novshek, 1985. "On the Existence of Cournot Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(1), pages 85-98.
    14. Elhanan Helpman & Paul Krugman, 1987. "Market Structure and Foreign Trade: Increasing Returns, Imperfect Competition, and the International Economy," MIT Press Books, The MIT Press, edition 1, volume 1, number 026258087x, April.
    15. Masahisa Fujita & Paul Krugman & Anthony J. Venables, 2001. "The Spatial Economy: Cities, Regions, and International Trade," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262561476, April.
    16. Ottaviano, G.I.P. & Thisse, J.-F., 1999. "Monopolistic Competition, Multiproduct Firms and Optimum Product Diversity," Economics Working Papers eco99/31, European University Institute.
    17. Anderson, Simon P. & de Palma, Andre & Kreider, Brent, 2001. "Tax incidence in differentiated product oligopoly," Journal of Public Economics, Elsevier, vol. 81(2), pages 173-192, August.
    18. Samuelson, Paul A, 1969. "Corrected Formulation of Direct and Indirect Additivity," Econometrica, Econometric Society, vol. 37(2), pages 355-359, April.
    19. Besley, Timothy, 1989. "Commodity taxation and imperfect competition : A note on the effects of entry," Journal of Public Economics, Elsevier, vol. 40(3), pages 359-367, December.
    20. repec:hal:pseose:hal-00813181 is not listed on IDEAS
    21. Motta, Massimo & Tarantino, Emanuele, 2021. "The effect of horizontal mergers, when firms compete in prices and investments," International Journal of Industrial Organization, Elsevier, vol. 78(C).
    22. Volker Nocke & Nicolas Schutz, 2018. "Multiproduct‐Firm Oligopoly: An Aggregative Games Approach," Econometrica, Econometric Society, vol. 86(2), pages 523-557, March.
    23. Richard Cornes & Roger Hartley, 2007. "Aggregative Public Good Games," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(2), pages 201-219, April.
    24. Swati Dhingra & John Morrow, 2019. "Monopolistic Competition and Optimum Product Diversity under Firm Heterogeneity," Journal of Political Economy, University of Chicago Press, vol. 127(1), pages 196-232.
    25. Parenti, Mathieu, 2018. "Large and small firms in a global market: David vs. Goliath," Journal of International Economics, Elsevier, vol. 110(C), pages 103-118.
    26. Martimort, David & Stole, Lars, 2012. "Representing equilibrium aggregates in aggregate games with applications to common agency," Games and Economic Behavior, Elsevier, vol. 76(2), pages 753-772.
    27. Marini, Marco A. & Corchon, Luis, 2016. "Handbook of Game Theory and Industrial Organization: An Introduction," MPRA Paper 77169, University Library of Munich, Germany.
    28. Simon P. Anderson & André de Palma, 2001. "Product Diversity in Asymmetric Oligopoly: Is the Quality of Consumer Goods too Low?," Journal of Industrial Economics, Wiley Blackwell, vol. 49(2), pages 113-135, June.
    29. Gene M. Grossman & Elhanan Helpman, 1993. "Innovation and Growth in the Global Economy," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262570971, April.
    30. Mark Gradstein, 1995. "Intensity Of Competition, Entry And Entry Deterrence In Rent Seeking Contests," Economics and Politics, Wiley Blackwell, vol. 7(1), pages 79-91, March.
    31. Federico Etro, 2007. "Competition, Innovation, and Antitrust," Springer Books, Springer, number 978-3-540-49601-4, June.
    32. Raymond Deneckere & Carl Davidson, 1985. "Incentives to Form Coalitions with Bertrand Competition," RAND Journal of Economics, The RAND Corporation, vol. 16(4), pages 473-486, Winter.
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    Cited by:

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    4. Timo Autio & Jorge Padilla & Salvatore Piccolo & Pekka Sääskilahti & Lotta Väänänen, 2020. "On the Risk of Using a Firm-Level Approach to Identify Relevant Markets," CSEF Working Papers 581, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    5. Basu, Kaushik & Pitsuwan, Fikri & Zhang, Pengfei, 2023. "The economics of profit-cap policy: Big Pharma, Big Tech, and the duopoly rule," Journal of Economic Behavior & Organization, Elsevier, vol. 215(C), pages 120-133.
    6. Breinlich, Holger & Fadinger, Harald & Nocke, Volker & Schutz, Nicolas, 2020. "Gravity with Granularity," CEPR Discussion Papers 15374, C.E.P.R. Discussion Papers.
    7. Nisvan Erkal & Lijun Pan, 2022. "Horizontal Merger Analysis with Endogenous Product Range Choice," ISER Discussion Paper 1162, Institute of Social and Economic Research, Osaka University.
    8. Sato, Susumu, 2021. "Market shares and profits in two-sided markets," Economics Letters, Elsevier, vol. 207(C).
    9. Etro, Federico, 2023. "Platform competition with free entry of sellers," International Journal of Industrial Organization, Elsevier, vol. 89(C).
    10. Pan, Lijun & Wang, Yongjin, 2020. "Competition among large and heterogeneous small firms," Economics Letters, Elsevier, vol. 196(C).
    11. Martin Alfaro, 2020. "On Strategic Investments by Leader Firms under Endogenous Entry and Quantity Competition," Economics Bulletin, AccessEcon, vol. 40(4), pages 3231-3240.
    12. Panhans, Matthew T. & Taragin, Charles, 2023. "Consequences of model choice in predicting horizontal merger effects," International Journal of Industrial Organization, Elsevier, vol. 89(C).
    13. Federico Etro, 2023. "Hybrid Marketplaces with Free Entry of Sellers," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 62(2), pages 119-148, March.
    14. Motta, Massimo & Tarantino, Emanuele, 2021. "The effect of horizontal mergers, when firms compete in prices and investments," International Journal of Industrial Organization, Elsevier, vol. 78(C).
    15. Luis C. Corchón, 2021. "Aggregative games," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 12(1), pages 49-71, March.
    16. Kojun Hamada & Takao Ohkawa & Makoto Okamura, 2022. "Optimal taxation in a free‐entry Cournot oligopoly: The average cost function approach," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 55(2), pages 1166-1192, May.
    17. Kasberger, Bernhard, 2023. "When can auctions maximize post-auction welfare?," International Journal of Industrial Organization, Elsevier, vol. 89(C).
    18. Bruno Jullien & Alessandro Pavan & Marc Rysman, 2021. "Two-sided markets, pricing, and network effects," Post-Print hal-03828345, HAL.
    19. Takanori ADACHI & Michal Fabinger, 2021. "Pass-Through and the Welfare Effects of Taxation under Imperfect Competition: A General Analysis," Discussion papers e-21-003, Graduate School of Economics , Kyoto University.
    20. Volker Nocke & Nicolas Schutz, 2023. "Merger Analysis with IIA Demand and Type Aggregation," CRC TR 224 Discussion Paper Series crctr224_2023_459, University of Bonn and University of Mannheim, Germany.
    21. Paolo Bertoletti & Federico Etro, 2024. "Insufficient Entry in Monopolistic Competition," Working Papers 543, University of Milano-Bicocca, Department of Economics.

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