(Translated by https://www.hiragana.jp/)
’Be nice, unless it pays to fight’: A New Theory of Price Determination with Implications for Competition Policy
IDEAS home Printed from https://ideas.repec.org/p/wzb/wzebiv/fsiv02-18.html
   My bibliography  Save this paper

’Be nice, unless it pays to fight’: A New Theory of Price Determination with Implications for Competition Policy

Author

Listed:
  • Jan Boone

Abstract

This paper introduces a simple extensive form pricing game where firms can react to each others’ price changes before the customers arrive. The Bertrand outcome is a Nash equilibrium outcome in this game, but it is not necessarily subgame perfect. The subgame perfect equilibrium outcome features the following comparative static properties. The more similar firms are, the higher the equilibrium price. Further, a new firm that enters the industry or an existing firm that becomes more efficient can raise the equilibrium price. ZUSAMMENFASSUNG - (‘Sei nett, außer es zahlt sich aus zu kämpfen’: Eine neue Theorie der Preisbestimmung und ihre Bedeutung für die Wettbewerbspolitik) In diesem Beitrag wird die extensive Form eines einfachen Preisspiels vorgestellt, in dem jedes Unternehmen auf Preisänderungen des anderen reagieren kann, bevor die Kunden eintreffen. Das Bertrand-Ergebnis dieses Spiels ist ein Nash-Gleichgewicht, aber es ist nicht notwendigerweise Teilspielperfekt. Das teilspielperfekte Gleichgewicht hat die folgenden komparativ-statischen Eigenschaften. Je ähnlicher die Firmen sind, desto höher ist der Gleichgewichtspreis. Darüber hinaus kann, wenn eine neue Firma in den Markt eintritt oder eine bestehende effizienter wird, der Gleichgewichtspreis steigen.

Suggested Citation

  • Jan Boone, 2002. "’Be nice, unless it pays to fight’: A New Theory of Price Determination with Implications for Competition Policy," CIG Working Papers FS IV 02-18, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG).
  • Handle: RePEc:wzb:wzebiv:fsiv02-18
    as

    Download full text from publisher

    File URL: http://skylla.wz-berlin.de/pdf/2002/iv02-18.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Lars-Hendrik Röller & Johan Stennek & Frank Verboven, 2006. "Efficiency Gains from Mergers," Chapters, in: Fabienne IIzkovitz & Roderick Meiklejohn (ed.), European Merger Control, chapter 3, Edward Elgar Publishing.
    2. Stiglitz, Joseph E., 1989. "Imperfect information in the product market," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 1, chapter 13, pages 769-847, Elsevier.
    3. Knetter, Michael M, 1989. "Price Discrimination by U.S. and German Exporters," American Economic Review, American Economic Association, vol. 79(1), pages 198-210, March.
    4. Jeremy Bulow & Paul Klemperer, 2002. "Prices and the Winner's Curse," RAND Journal of Economics, The RAND Corporation, vol. 33(1), pages 1-21, Spring.
    5. Farrell, Joseph & Shapiro, Carl, 1990. "Horizontal Mergers: An Equilibrium Analysis," American Economic Review, American Economic Association, vol. 80(1), pages 107-126, March.
    6. Baumol, William J, 1982. "Contestable Markets: An Uprising in the Theory of Industry Structure," American Economic Review, American Economic Association, vol. 72(1), pages 1-15, March.
    7. Green, Edward J & Porter, Robert H, 1984. "Noncooperative Collusion under Imperfect Price Information," Econometrica, Econometric Society, vol. 52(1), pages 87-100, January.
    8. Rabah Amir & Val E. Lambson, 2000. "On the Effects of Entry in Cournot Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(2), pages 235-254.
    9. repec:bla:scandj:v:89:y:1987:i:4:p:487-95 is not listed on IDEAS
    10. Kirman, Alan & Schueller, Nathalie, 1990. "Price Leadership and Discrimination in the European Car Market," Journal of Industrial Economics, Wiley Blackwell, vol. 39(1), pages 69-91, September.
    11. McAfee, R Preston & Simons, Joseph J & Williams, Michael A, 1992. "Horizontal Mergers in Spatially Differentiated Noncooperative Markets," Journal of Industrial Economics, Wiley Blackwell, vol. 40(4), pages 349-358, December.
    12. Stephen W. Salant & Sheldon Switzer & Robert J. Reynolds, 1983. "Losses From Horizontal Merger: The Effects of an Exogenous Change in Industry Structure on Cournot-Nash Equilibrium," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(2), pages 185-199.
    13. repec:bla:jindec:v:47:y:1999:i:4:p:451-76 is not listed on IDEAS
    14. Richard J. Gilbert & Paul Klemperer, 2000. "An Equilibrium Theory of Rationing," RAND Journal of Economics, The RAND Corporation, vol. 31(1), pages 1-21, Spring.
    15. Paul Klemperer, 2000. "Why Every Economist Should Learn Some Auction Theory," Microeconomics 0004009, University Library of Munich, Germany.
    16. Maskin, Eric & Tirole, Jean, 1988. "A Theory of Dynamic Oligopoly, II: Price Competition, Kinked Demand Curves, and Edgeworth Cycles," Econometrica, Econometric Society, vol. 56(3), pages 571-599, May.
    17. Jeffrey R. Campbell & Hugo A. Hopenhayn, 2005. "Market Size Matters," Journal of Industrial Economics, Wiley Blackwell, vol. 53(1), pages 1-25, March.
    18. Klemperer, Paul D. & Meyer, Margaret A., 1988. "Consistent conjectures equilibria: A reformulation showing non-uniqueness," Economics Letters, Elsevier, vol. 27(2), pages 111-115.
    19. Bresnahan, Timothy F, 1983. "Existence of Consistent Conjectures: Reply," American Economic Review, American Economic Association, vol. 73(3), pages 457-458, June.
    20. Timothy F. Bresnahan & Peter C. Reiss, 1990. "Entry in Monopoly Market," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(4), pages 531-553.
    21. Raymond J. Deneckere & Dan Kovenock, 1992. "Price Leadership," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(1), pages 143-162.
      • Raymond Deneckere & Dan Kovenock, 1988. "Price Leadership," Discussion Papers 773, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    22. Julio J. Rotemberg & Garth Saloner, 1984. "A Supergame-Theoretic Model of Business Cycles and Price Wars During Booms," NBER Working Papers 1412, National Bureau of Economic Research, Inc.
    23. Perry, Martin K & Porter, Robert H, 1985. "Oligopoly and the Incentive for Horizontal Merger," American Economic Review, American Economic Association, vol. 75(1), pages 219-227, March.
    24. Rotemberg, Julio J & Saloner, Garth, 1986. "A Supergame-Theoretic Model of Price Wars during Booms," American Economic Review, American Economic Association, vol. 76(3), pages 390-407, June.
    25. Schmalensee, Richard, 1985. "Do Markets Differ Much?," American Economic Review, American Economic Association, vol. 75(3), pages 341-351, June.
    26. Grant, Simon & Quiggin, John, 1994. "Nash equilibrium with mark-up-pricing oligopolists," Economics Letters, Elsevier, vol. 45(2), pages 245-251, June.
    27. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, April.
    28. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, April.
    29. Deneckere, Raymond J & Kovenock, Dan & Lee, Robert, 1992. "A Model of Price Leadership Based on Consumer Loyalty," Journal of Industrial Economics, Wiley Blackwell, vol. 40(2), pages 147-156, June.
    30. Robson, Arthur J, 1983. "Existence of Consistent Conjectures: Comment," American Economic Review, American Economic Association, vol. 73(3), pages 454-456, June.
    31. Bresnahan, Timothy F & Reiss, Peter C, 1991. "Entry and Competition in Concentrated Markets," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 977-1009, October.
    32. Rosenthal, Robert W, 1980. "A Model in Which an Increase in the Number of Sellers Leads to a Higher Price," Econometrica, Econometric Society, vol. 48(6), pages 1575-1579, September.
    33. Abreu, Dilip, 1986. "Extremal equilibria of oligopolistic supergames," Journal of Economic Theory, Elsevier, vol. 39(1), pages 191-225, June.
    34. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
    35. Bresnahan, Timothy F, 1981. "Duopoly Models with Consistent Conjectures," American Economic Review, American Economic Association, vol. 71(5), pages 934-945, December.
    36. Oecd, 1998. "Electronic Commerce: Prices and Consumer Issues for Three Products: Books, Compact Discs and Software," OECD Digital Economy Papers 32, OECD Publishing.
    37. R. Schmalensee & R. Willig (ed.), 1989. "Handbook of Industrial Organization," Handbook of Industrial Organization, Elsevier, edition 1, volume 2, number 2.
    38. Helder Vasconcelos, 2005. "Tacit Collusion, Cost Asymmetries, and Mergers," RAND Journal of Economics, The RAND Corporation, vol. 36(1), pages 39-62, Spring.
    39. R. Schmalensee & R. Willig (ed.), 1989. "Handbook of Industrial Organization," Handbook of Industrial Organization, Elsevier, edition 1, volume 1, number 1.
    40. Gautam Gowrisankaran, 1999. "A Dynamic Model of Endogenous Horizonal Mergers," RAND Journal of Economics, The RAND Corporation, vol. 30(1), pages 56-83, Spring.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Kimbrough, Steven O. & Murphy, Frederic H., 2013. "Strategic bidding of offer curves: An agent-based approach to exploring supply curve equilibria," European Journal of Operational Research, Elsevier, vol. 229(1), pages 165-178.
    2. Jan Boone & Delia Ionascu & Kresimir Zigic, 2006. "Trade Policy, Market Leaders and Endogenous Competition Intensity," CERGE-EI Working Papers wp311, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    3. Zigic, Kresimir & Maçi, Ilir, 2011. "Competition policy and market leaders," Economic Modelling, Elsevier, vol. 28(3), pages 1042-1049, May.
    4. Kresimir Zigic, 2011. "Strategic Interactions in Markets with Innovative Activity: The Cases of Strategic Trade Policy and Market Leadership," CERGE-EI Books, The Center for Economic Research and Graduate Education - Economics Institute, Prague, edition 1, number b06, May.
    5. Boone, Jan & Žigić, Krešimir, 2015. "Trade policy in markets with collusion: The case of North–South R&D spillovers," Research in Economics, Elsevier, vol. 69(2), pages 224-237.
    6. Marcel Canoy & S. Onderstal, 2003. "Tight oligopolies: in search of proportionate remedies," CPB Document 29, CPB Netherlands Bureau for Economic Policy Analysis.
    7. Marcel Canoy & S. Onderstal, 2003. "Tight oligopolies: in search of proportionate remedies," CPB Document 29.rdf, CPB Netherlands Bureau for Economic Policy Analysis.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Boone, J., 2002. "'Be Nice Unless it Pays to Fight' : A New Theory of Price Determination with Implications for Competition Policy," Other publications TiSEM 739723a0-ffec-49c9-bef8-7, Tilburg University, School of Economics and Management.
    2. Boone, J., 2003. "'Be nice, unless it pays to fight' : A new theory of price determination with implications for competition policy," Other publications TiSEM 7066cb71-3c22-4565-8c71-5, Tilburg University, School of Economics and Management.
    3. Boone, Jan, 2004. "Balance of Power," CEPR Discussion Papers 4733, C.E.P.R. Discussion Papers.
    4. Belleflamme,Paul & Peitz,Martin, 2015. "Industrial Organization," Cambridge Books, Cambridge University Press, number 9781107069978.
    5. Belleflamme,Paul & Peitz,Martin, 2015. "Industrial Organization," Cambridge Books, Cambridge University Press, number 9781107687899.
    6. Boone, J., 2004. "Balance of Power," Other publications TiSEM d3f8cd4b-eaf0-4c1c-aed4-5, Tilburg University, School of Economics and Management.
    7. Boone, J., 2004. "Balance of power," Other publications TiSEM dcff47a3-8a29-4ec3-a752-8, Tilburg University, School of Economics and Management.
    8. Kaplow, Louis & Shapiro, Carl, 2007. "Antitrust," Handbook of Law and Economics, in: A. Mitchell Polinsky & Steven Shavell (ed.), Handbook of Law and Economics, edition 1, volume 2, chapter 15, pages 1073-1225, Elsevier.
    9. Philippe Cyrenne, 1999. "On Antitrust Enforcement and the Deterrence of Collusive Behaviour," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 14(3), pages 257-272, May.
    10. Devin Garcia & Levent Kutlu & Robin C. Sickles, 2022. "Market Structures in Production Economics," Springer Books, in: Subhash C. Ray & Robert G. Chambers & Subal C. Kumbhakar (ed.), Handbook of Production Economics, chapter 13, pages 537-574, Springer.
    11. repec:lic:licosd:43022 is not listed on IDEAS
    12. Holloway, Garth J., 1995. "Conjectural Variations With Fewer Apologies," Working Papers 225880, University of California, Davis, Department of Agricultural and Resource Economics.
    13. Luís Cabral, 2018. "We’re Number 1: Price Wars for Market Share Leadership," Management Science, INFORMS, vol. 64(5), pages 2013-2030, May.
    14. Stole, Lars A., 2007. "Price Discrimination and Competition," Handbook of Industrial Organization, in: Mark Armstrong & Robert Porter (ed.), Handbook of Industrial Organization, edition 1, volume 3, chapter 34, pages 2221-2299, Elsevier.
    15. Amir, Rabah & Diamantoudi, Effrosyni & Xue, Licun, 2009. "Merger performance under uncertain efficiency gains," International Journal of Industrial Organization, Elsevier, vol. 27(2), pages 264-273, March.
    16. Sergio Currarini & Marco A. Marini, 2015. "Coalitional Approaches to Collusive Agreements in Oligopoly Games," Manchester School, University of Manchester, vol. 83(3), pages 253-287, June.
    17. Garrod, Luke, 2012. "Collusive price rigidity under price-matching punishments," International Journal of Industrial Organization, Elsevier, vol. 30(5), pages 471-482.
    18. Weretka, Marek, 2011. "Endogenous market power," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2281-2306.
    19. Etienne Billette de Villemeur & Laurent Flochel & Bruno Versaevel, 2013. "Optimal collusion with limited liability," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(3), pages 203-227, September.
    20. Etro, Federico, 2016. "Research in economics and industrial organization," Research in Economics, Elsevier, vol. 70(4), pages 511-517.
    21. Marcel Canoy & Patrick Rey & Eric van Damme, 2004. "Dominance and Monopolization," Chapters, in: Manfred Neumann & Jürgen Weigand (ed.), The International Handbook of Competition, chapter 7, Edward Elgar Publishing.

    More about this item

    Keywords

    Intermediation; Bertrand paradox; price leadership; mergers; joint dominance; balance of power;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • L41 - Industrial Organization - - Antitrust Issues and Policies - - - Monopolization; Horizontal Anticompetitive Practices

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wzb:wzebiv:fsiv02-18. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Jennifer Rontganger (email available below). General contact details of provider: https://edirc.repec.org/data/cicwzde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.