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Optimal collusion with internal contracting

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  • Lee, Gea M.

Abstract

In this paper, two firms play an infinitely-repeated Bertrand game, and each firm has an agent who produces the firm's output and holds private information about production costs. The colluding firms fix prices and allocate market shares based on their agents' information. We develop a model of collusion in which firms use the presence of agents as a strategic opportunity to restrict their incentives to distort private information. We show that such firm behavior may expand the scope of optimal collusion whether market-allocation schemes are asymmetric or symmetric.

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  • Lee, Gea M., 2010. "Optimal collusion with internal contracting," Games and Economic Behavior, Elsevier, vol. 68(2), pages 646-669, March.
  • Handle: RePEc:eee:gamebe:v:68:y:2010:i:2:p:646-669
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    1. Dequiedt, Vianney, 2007. "Efficient collusion in optimal auctions," Journal of Economic Theory, Elsevier, vol. 136(1), pages 302-323, September.
    2. Susan Athey & Kyle Bagwell & Chris Sanchirico, 2004. "Collusion and Price Rigidity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(2), pages 317-349.
    3. Skrzypacz, Andrzej & Hopenhayn, Hugo, 2004. "Corrigendum to "Tacit collusion in repeated auctions" [J. Econ. Theory 114 (2004) 153-169]," Journal of Economic Theory, Elsevier, vol. 114(2), pages 370-371, February.
    4. Athey, Susan & Bagwell, Kyle, 2001. "Optimal Collusion with Private Information," RAND Journal of Economics, The RAND Corporation, vol. 32(3), pages 428-465, Autumn.
    5. Merchant, Kenneth A., 1985. "Budgeting and the propensity to create budgetary slack," Accounting, Organizations and Society, Elsevier, vol. 10(2), pages 201-210, April.
    6. Reitman, David, 1993. "Stock Options and the Strategic Use of Managerial Incentives," American Economic Review, American Economic Association, vol. 83(3), pages 513-524, June.
    7. Drew Fudenberg & David Levine & Eric Maskin, 2008. "The Folk Theorem With Imperfect Public Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 12, pages 231-273, World Scientific Publishing Co. Pte. Ltd..
    8. Susan Athey & Kyle Bagwell, 2008. "Collusion With Persistent Cost Shocks," Econometrica, Econometric Society, vol. 76(3), pages 493-540, May.
    9. Joseph E. Harrington, Jr, 2006. "How Do Cartels Operate?," Economics Working Paper Archive 531, The Johns Hopkins University,Department of Economics.
    10. Sekiguchi, Tadashi, 1997. "Efficiency in Repeated Prisoner's Dilemma with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 76(2), pages 345-361, October.
    11. Michael L. Katz, 1991. "Game-Playing Agents: Unobservable Contracts as Precommitments," RAND Journal of Economics, The RAND Corporation, vol. 22(3), pages 307-328, Autumn.
    12. Jean-Jacques Laffont & David Martimort, 1997. "Collusion under Asymmetric Information," Econometrica, Econometric Society, vol. 65(4), pages 875-912, July.
    13. Makoto Hanazono & Huanxing Yang, 2007. "Collusion, Fluctuating Demand, And Price Rigidity," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(2), pages 483-515, May.
    14. Yossef Spiegel & Daniel F. Spulber, 1997. "Capital Structure with Countervailing Incentives," RAND Journal of Economics, The RAND Corporation, vol. 28(1), pages 1-24, Spring.
    15. Jean-Jacques Laffont & David Martimort, 2000. "Mechanism Design with Collusion and Correlation," Econometrica, Econometric Society, vol. 68(2), pages 309-342, March.
    16. Mookherjee, Dilip & Reichelstein, Stefan, 1992. "Dominant strategy implementation of Bayesian incentive compatible allocation rules," Journal of Economic Theory, Elsevier, vol. 56(2), pages 378-399, April.
    17. Lee, Gea M., 2010. "Optimal collusion with internal contracting," Games and Economic Behavior, Elsevier, vol. 68(2), pages 646-669, March.
    18. Levent Koçkesen & Efe A. Ok, 2004. "Strategic Delegation By Unobservable Incentive Contracts," Review of Economic Studies, Oxford University Press, vol. 71(2), pages 397-424.
    19. Cramton, Peter C & Palfrey, Thomas R, 1990. "Cartel Enforcement with Uncertainty about Costs," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(1), pages 17-47, February.
    20. McAfee, R Preston & McMillan, John, 1992. "Bidding Rings," American Economic Review, American Economic Association, vol. 82(3), pages 579-599, June.
      • McAfee, R. Preston & McMillan, John., 1990. "Bidding Rings," Working Papers 726, California Institute of Technology, Division of the Humanities and Social Sciences.
    21. Kihlstrom, Richard & Vives, Xavier, 1992. "Collusion by Asymmetrically Informed Firms," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 1(2), pages 371-396, Summer.
    22. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
    23. David Genesove & Wallace Mullin, 1999. "The Sugar Institute Learns to Organize Information Exchange," NBER Chapters, in: Learning by Doing in Markets, Firms, and Countries, pages 103-144, National Bureau of Economic Research, Inc.
    24. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1990. "Toward a Theory of Discounted Repeated Games with Imperfect Monitoring," Econometrica, Econometric Society, vol. 58(5), pages 1041-1063, September.
    25. Kyle Bagwell & Gea M. Lee, 2008. "Advertising and Collusion in Retails Markets," Microeconomics Working Papers 22465, East Asian Bureau of Economic Research.
    26. Skrzypacz, Andrzej & Hopenhayn, Hugo, 2004. "Tacit collusion in repeated auctions," Journal of Economic Theory, Elsevier, vol. 114(1), pages 153-169, January.
    27. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1986. "Optimal cartel equilibria with imperfect monitoring," Journal of Economic Theory, Elsevier, vol. 39(1), pages 251-269, June.
    28. Harrington, Joseph E., 2006. "How Do Cartels Operate?," Foundations and Trends(R) in Microeconomics, now publishers, vol. 2(1), pages 1-105, August.
    29. Bhaskar, V. & Obara, Ichiro, 2002. "Belief-Based Equilibria in the Repeated Prisoners' Dilemma with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 40-69, January.
    30. Aoyagi, Masaki, 2003. "Bid rotation and collusion in repeated auctions," Journal of Economic Theory, Elsevier, vol. 112(1), pages 79-105, September.
    31. Roberts, Kevin, 1985. "Cartel Behaviour and Adverse Selection," Journal of Industrial Economics, Wiley Blackwell, vol. 33(4), pages 401-413, June.
    32. Giovanni Maggi & Andres Rodriguez-Clare, 1995. "Costly Distortion of Information in Agency Problems," RAND Journal of Economics, The RAND Corporation, vol. 26(4), pages 675-689, Winter.
    33. Giancarlo Spagnolo, 2000. "Stock-Related Compensation and Product-Market Competition," RAND Journal of Economics, The RAND Corporation, vol. 31(1), pages 22-42, Spring.
    34. Fershtman, Chaim & Judd, Kenneth L & Kalai, Ehud, 1991. "Observable Contracts: Strategic Delegation and Cooperation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(3), pages 551-559, August.
    35. Ely, Jeffrey C. & Valimaki, Juuso, 2002. "A Robust Folk Theorem for the Prisoner's Dilemma," Journal of Economic Theory, Elsevier, vol. 102(1), pages 84-105, January.
    36. Lee, Gea M., 2007. "Trade agreements with domestic policies as disguised protection," Journal of International Economics, Elsevier, vol. 71(1), pages 241-259, March.
    37. Naomi R. Lamoreaux & Daniel M. G. Raff & Peter Temin, 1999. "Learning by Doing in Markets, Firms, and Countries," NBER Books, National Bureau of Economic Research, Inc, number lamo99-1.
    38. Martin, Alberto & Vergote, Wouter, 2008. "On the role of retaliation in trade agreements," Journal of International Economics, Elsevier, vol. 76(1), pages 61-77, September.
    39. Margaret C. Levenstein & Valerie Y. Suslow, 2002. "What Determines Cartel Success?," UMASS Amherst Economics Working Papers 2002-01, University of Massachusetts Amherst, Department of Economics.
    40. Vickers, John, 1985. "Delegation and the Theory of the Firm," Economic Journal, Royal Economic Society, vol. 95(380a), pages 138-147, Supplemen.
    41. Fershtman, Chaim & Judd, Kenneth L, 1987. "Equilibrium Incentives in Oligopoly," American Economic Review, American Economic Association, vol. 77(5), pages 927-940, December.
    42. Jean-Jacques Laffont & Jean Tirole, 1993. "A Theory of Incentives in Procurement and Regulation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262121743, December.
    43. Steven D. Sklivas, 1987. "The Strategic Choice of Managerial Incentives," RAND Journal of Economics, The RAND Corporation, vol. 18(3), pages 452-458, Autumn.
    44. Olivier Compte, 1998. "Communication in Repeated Games with Imperfect Private Monitoring," Econometrica, Econometric Society, vol. 66(3), pages 597-626, May.
    45. Lee Gea M, 2003. "Upgrading, Degrading, and Intertemporal Price Discrimination," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 3(1), pages 1-33, January.
    46. Lewis, Tracy R. & Sappington, David E. M., 1989. "Countervailing incentives in agency problems," Journal of Economic Theory, Elsevier, vol. 49(2), pages 294-313, December.
    47. Michihiro Kandori & Hitoshi Matsushima, 1998. "Private Observation, Communication and Collusion," Econometrica, Econometric Society, vol. 66(3), pages 627-652, May.
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    Cited by:

    1. Lee, Gea M., 2010. "Optimal collusion with internal contracting," Games and Economic Behavior, Elsevier, vol. 68(2), pages 646-669, March.
    2. Fabian Herweg & Antonio Rosato, 2020. "Bait and ditch: Consumer naïveté and salesforce incentives," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 29(1), pages 97-121, January.

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    More about this item

    Keywords

    Price-fixing collusion Private information Internal contract Information distortion;

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation

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