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Tacit collusion with price-matching punishments

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  • Lu, Yuanzhu
  • Wright, Julian

Abstract

Tacit collusion is explored under a strategy in which, loosely speaking, firms match the lowest price set by any firm in the previous period. Conditions are provided under which this strategy supports collusive outcomes in a subgame perfect equilibrium. In contrast to traditional results, the highest collusive price is always lower than the monopoly price. It corresponds to the unique Nash equilibrium price when upward and downward price deviations are matched. Our paper provides a game theoretic interpretation of the old kinked demand curve theory which unlike earlier attempts does not depart from standard timing assumptions to do so.

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  • Lu, Yuanzhu & Wright, Julian, 2010. "Tacit collusion with price-matching punishments," International Journal of Industrial Organization, Elsevier, vol. 28(3), pages 298-306, May.
    • Handle: RePEc:eee:indorg:v:28:y:2010:i:3:p:298-306
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    1. Samuelson, Larry, 1987. "Non-trivial subgame perfect duopoly equilibria can be supported by continuous reaction functions," Economics Letters, Elsevier, vol. 24(3), pages 207-211.
    2. James W. Friedman, 1971. "A Non-cooperative Equilibrium for Supergames," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(1), pages 1-12.
    3. Stanford, William G., 1986. "Subgame perfect reaction function equilibria in discounted duopoly supergames are trivial," Journal of Economic Theory, Elsevier, vol. 39(1), pages 226-232, June.
    4. Harrington, Joseph Jr., 1991. "The joint profit maximum as a free-entry equilibrium outcome," European Economic Review, Elsevier, vol. 35(5), pages 1087-1101, July.
    5. Friedman James W. & Samuelson Larry, 1994. "Continuous Reaction Functions in Duopolies," Games and Economic Behavior, Elsevier, vol. 6(1), pages 55-82, January.
    6. Ross, Thomas W., 1992. "Cartel stability and product differentiation," International Journal of Industrial Organization, Elsevier, vol. 10(1), pages 1-13, March.
    7. Abreu, Dilip, 1988. "On the Theory of Infinitely Repeated Games with Discounting," Econometrica, Econometric Society, vol. 56(2), pages 383-396, March.
    8. David Genesove & Wallace P. Mullin, 2001. "Rules, Communication, and Collusion: Narrative Evidence from the Sugar Institute Case," American Economic Review, American Economic Association, vol. 91(3), pages 379-398, June.
    9. Macleod, W. Bentley, 1985. "A theory of conscious parallelism," European Economic Review, Elsevier, vol. 27(1), pages 25-44, February.
    10. Kalai, Ehud & Stanford, William, 1985. "Conjectural variations strategies in accelerated cournot games," International Journal of Industrial Organization, Elsevier, vol. 3(2), pages 133-152, June.
    11. Paul M. Sweezy, 1939. "Demand Under Conditions of Oligopoly," Journal of Political Economy, University of Chicago Press, vol. 47(4), pages 568-568.
    12. 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.
    13. 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.
    14. J. W. Friedman, 1968. "Reaction Functions and the Theory of Duopoly," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(3), pages 257-272.
    15. Deneckere, R., 1983. "Duopoly supergames with product differentiation," Economics Letters, Elsevier, vol. 11(1-2), pages 37-42.
    16. Stephen Davies & Matthew Olczak, 2008. "Tacit versus Overt Collusion Firm Asymmetries and Numbers: What's the Evidence?," Working Paper series, University of East Anglia, Centre for Competition Policy (CCP) 2008-32, Centre for Competition Policy, University of East Anglia, Norwich, UK..
    17. Friedman, James W. & Samuelson, Larry, 1990. "Subgame perfect equilibrium with continuous reaction functions," Games and Economic Behavior, Elsevier, vol. 2(4), pages 304-324, December.
    18. Reinhard Selten & Michael Mitzkewitz & Gerald R. Uhlich, 1997. "Duopoly Strategies Programmed by Experienced Players," Econometrica, Econometric Society, vol. 65(3), pages 517-556, May.
    19. Slade, Margaret E, 1987. "Interfirm Rivalry in a Repeated Game: An Empirical Test of Tacit Collusion," Journal of Industrial Economics, Wiley Blackwell, vol. 35(4), pages 499-516, June.
    20. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
    21. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    22. Albaek, Svend & Lambertini, Luca, 1998. "Collusion in differentiated duopolies revisited," Economics Letters, Elsevier, vol. 59(3), pages 305-308, June.
    23. Abreu, Dilip, 1986. "Extremal equilibria of oligopolistic supergames," Journal of Economic Theory, Elsevier, vol. 39(1), pages 191-225, June.
    24. Slade, Margaret E, 1989. "Price Wars in Price-Setting Supergames," Economica, London School of Economics and Political Science, vol. 56(223), pages 295-310, August.
    25. Slade, Margaret E., 1990. "Strategic pricing models and interpretation of price-war data," European Economic Review, Elsevier, vol. 34(2-3), pages 524-537, May.
    26. Margaret E. Slade, 1992. "Vancouver's Gasoline-Price Wars: An Empirical Exercise in Uncovering Supergame Strategies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(2), pages 257-276.
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    Cited by:

    1. Garrod, Luke, 2012. "Collusive price rigidity under price-matching punishments," International Journal of Industrial Organization, Elsevier, vol. 30(5), pages 471-482.
    2. Marcelo Resende & Rodrigo M. Zeidan, 2011. "Tacit Collusion under Imperfect Monitoring in the Canadian Manufacturing Industry: An Empirical Study," CESifo Working Paper Series 3623, CESifo.
    3. Wright, Julian, 2013. "Punishment strategies in repeated games: Evidence from experimental markets," Games and Economic Behavior, Elsevier, vol. 82(C), pages 91-102.
    4. Pio Baake & Ulrich Schwalbe, 2013. "Price Guarantees, Consumer Search, and Hassle Costs," Discussion Papers of DIW Berlin 1335, DIW Berlin, German Institute for Economic Research.
    5. Trost, Michael, 2022. "Unraveling the spreading pattern of collusively effective competition clauses," Hohenheim Discussion Papers in Business, Economics and Social Sciences 01-2022, University of Hohenheim, Faculty of Business, Economics and Social Sciences.
    6. Harrington, Joseph E., 2017. "A theory of collusion with partial mutual understanding," Research in Economics, Elsevier, vol. 71(1), pages 140-158.
    7. Porter, Robert H., 2020. "Mergers and coordinated effects," International Journal of Industrial Organization, Elsevier, vol. 73(C).
    8. Sylwester Bejger, 2015. "Testing Parallel Pricing Behavior in the Polish Wholesale Fuel Market: an ARDL – Bound Testing Approach," Dynamic Econometric Models, Uniwersytet Mikolaja Kopernika, vol. 15, pages 111-128.
    9. Arcan Nalca, 2017. "Price-matching guarantees in dual channels," Quantitative Marketing and Economics (QME), Springer, vol. 15(2), pages 165-186, June.
    10. Joseph E. Harrington, Jr., 2012. "A Theory of Tacit Collusion," Economics Working Paper Archive 588, The Johns Hopkins University,Department of Economics.
    11. Bottasso, Anna & Marocco, Paolo & Robbiano, Simone, 2020. "Price matching and platform pricing," MPRA Paper 104811, University Library of Munich, Germany.
    12. Choné, Philippe & Linnemer, Laurent, 2020. "Linear demand systems for differentiated goods: Overview and user’s guide," International Journal of Industrial Organization, Elsevier, vol. 73(C).
    13. Joseph E. Harrington, Jr., 2012. "Evaluating Mergers for Coordinated Effects and the Role of 'Parallel Accommodating Conduct'," Economics Working Paper Archive 601, The Johns Hopkins University,Department of Economics.
    14. Bejger Sylwester, 2016. "Theoretical Model of Pricing Behavior on the Polish Wholesale Fuel Market," Folia Oeconomica Stetinensia, Sciendo, vol. 16(1), pages 286-300, December.
    15. Stefano Colombo, 2012. "Collusion in two models of spatial competition with quantity-setting firms," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 48(1), pages 45-69, February.

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