IDEAS home Printed from https://ideas.repec.org/p/bol/bodewp/369.html
   My bibliography  Save this paper

Differential Games and Oligopoly Theory: An Overview

Author

Listed:
  • R. Cellini
  • L. Lambertini

Abstract

We illustrate the foundations of the theory of differential games, with particular regard to the definition of information sets and solutions concepts. Then, we provide a survey of several relevant applications of the theory to modelling the behavior of oligopolic firms.

Suggested Citation

  • R. Cellini & L. Lambertini, 2000. "Differential Games and Oligopoly Theory: An Overview," Working Papers 369, Dipartimento Scienze Economiche, Universita' di Bologna.
    • Handle: RePEc:bol:bodewp:369
    as

    Download full text from publisher

    File URL: http://amsacta.unibo.it/4940/1/369.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. d'Aspremont, Claude & Jacquemin, Alexis, 1988. "Cooperative and Noncooperative R&D in Duopoly with Spillovers," American Economic Review, American Economic Association, vol. 78(5), pages 1133-1137, December.
    2. A. Michael Spence, 1979. "Investment Strategy and Growth in a New Market," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 1-19, Spring.
    3. Lambertini, Luca & Poddar, Sougata & Sasaki, Dan, 1998. "Standardization and the stability of collusion," Economics Letters, Elsevier, vol. 58(3), pages 303-310, March.
    4. Reinganum, Jennifer F., 1981. "Dynamic games of innovation," Journal of Economic Theory, Elsevier, vol. 25(1), pages 21-41, August.
    5. de Zeeuw, A J & van der Ploeg, F, 1991. "Difference Games and Policy Evaluation: A Conceptual Framework," Oxford Economic Papers, Oxford University Press, vol. 43(4), pages 612-636, October.
    6. Suzumura, Kotaro, 1992. "Cooperative and Noncooperative R&D in an Oligopoly with Spillovers," American Economic Review, American Economic Association, vol. 82(5), pages 1307-1320, December.
    7. Cellini, Roberto & Lambertini, Luca & Ottaviano, Gianmarco I. P., 2004. "Welfare in a differentiated oligopoly with free entry: a cautionary note," Research in Economics, Elsevier, vol. 58(2), pages 125-133, June.
    8. Osborne, Martin J. & Pitchik, Carolyn, 1986. "Price competition in a capacity-constrained duopoly," Journal of Economic Theory, Elsevier, vol. 38(2), pages 238-260, April.
    9. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, December.
    10. Reinganum, Jennifer F., 1989. "The timing of innovation: Research, development, and diffusion," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 1, chapter 14, pages 849-908, Elsevier.
    11. Kydland, Finn, 1977. "Equilibrium solutions in dynamic dominant-player models," Journal of Economic Theory, Elsevier, vol. 15(2), pages 307-324, August.
    12. Cellini, Roberto & Lambertini, Luca, 1998. "A Dynamic Model of Differentiated Oligopoly with Capital Accumulation," Journal of Economic Theory, Elsevier, vol. 83(1), pages 145-155, November.
    13. Michael D. Intriligator & Dagobert L. Brito, 1987. "Can Arms Races Lead to the Outbreak of War?," International Economic Association Series, in: Christian Schmidt (ed.), The Economics of Military Expenditures, chapter 9, pages 180-196, Palgrave Macmillan.
    14. Michael L. Katz & Janusz A. Ordover, 1990. "R&D Cooperation and Competition," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 21(1990 Micr), pages 137-203.
    15. Majerus, David W., 1988. "Price vs. quantity competition in oligopoly supergames," Economics Letters, Elsevier, vol. 27(3), pages 293-297.
    16. Carl Davidson & Raymond Deneckere, 1986. "Long-Run Competition in Capacity, Short-Run Competition in Price, and the Cournot Model," RAND Journal of Economics, The RAND Corporation, vol. 17(3), pages 404-415, Autumn.
    17. Kenneth Arrow, 1962. "Economic Welfare and the Allocation of Resources for Invention," NBER Chapters, in: The Rate and Direction of Inventive Activity: Economic and Social Factors, pages 609-626, National Bureau of Economic Research, Inc.
    18. Levitan, Richard & Shubik, Martin, 1972. "Price Duopoly and Capacity Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(1), pages 111-122, February.
    19. Dockner, Engelbert & Feichtinger, Gustav, 1986. "Dynamic advertising and pricing in an oligopology A Nash equilibrium approach," Journal of Economic Dynamics and Control, Elsevier, vol. 10(1-2), pages 37-39, June.
    20. Fershtman, Chaim & Kamien, Morton I, 1987. "Dynamic Duopolistic Competition with Sticky Prices," Econometrica, Econometric Society, vol. 55(5), pages 1151-1164, September.
    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. Lambertini, Luca & Rossini, Gianpaolo, 1998. "Product homogeneity as a prisoner's dilemma in a duopoly with R&D," Economics Letters, Elsevier, vol. 58(3), pages 297-301, March.
    23. Fershtman, Chaim & Muller, Eitan, 1984. "Capital accumulation games of infinite duration," Journal of Economic Theory, Elsevier, vol. 33(2), pages 322-339, August.
    24. Vives, Xavier, 1985. "On the efficiency of Bertrand and Cournot equilibria with product differentation," Journal of Economic Theory, Elsevier, vol. 36(1), pages 166-175, June.
    25. Okuguchi, Koji, 1987. "Equilibrium prices in the Bertrand and Cournot oligopolies," Journal of Economic Theory, Elsevier, vol. 42(1), pages 128-139, June.
    26. Spence, Michael, 1976. "Product Differentiation and Welfare," American Economic Review, American Economic Association, vol. 66(2), pages 407-414, May.
    27. Michael L. Katz, 1986. "An Analysis of Cooperative Research and Development," RAND Journal of Economics, The RAND Corporation, vol. 17(4), pages 527-543, Winter.
    28. d'Aspremont, Claude & Jacquemin, Alexis, 1990. "Cooperative and Noncooperative R&D in Duopoly with Spillovers: Erratum," American Economic Review, American Economic Association, vol. 80(3), pages 641-642, June.
    29. Kamien, Morton I & Schwartz, Nancy L, 1972. "Timing of Innovations Under Rivalry," Econometrica, Econometric Society, vol. 40(1), pages 43-60, January.
    30. Brito, D L, 1972. "A Dynamic Model of an Armaments Race," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(2), pages 359-375, June.
    31. Cellini, Roberto & Lambertini, Luca, 2002. "A differential game approach to investment in product differentiation," Journal of Economic Dynamics and Control, Elsevier, vol. 27(1), pages 51-62, November.
    32. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
    Full references (including those not matched with items on IDEAS)

    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. Cellini, Roberto & Lambertini, Luca, 2002. "A differential game approach to investment in product differentiation," Journal of Economic Dynamics and Control, Elsevier, vol. 27(1), pages 51-62, November.
    2. Cellini, Roberto & Lambertini, Luca, 1998. "A Dynamic Model of Differentiated Oligopoly with Capital Accumulation," Journal of Economic Theory, Elsevier, vol. 83(1), pages 145-155, November.
    3. R. Cellini & L. Lambertini, 2002. "Advertising with Spillover Effects in a Differential Oligopoly Game With Differentiated Goods," Working Papers 430, Dipartimento Scienze Economiche, Universita' di Bologna.
    4. Luca Lambertini & Manuela Mosca, 2014. "The Bertrand Paradox, the Useless Auctioneer and the Launhardt Model," Australian Economic Papers, Wiley Blackwell, vol. 53(3-4), pages 170-183, December.
    5. R. Cellini & L. Lambertini, 2000. "Non-Linear Market Demand and Capital Accumulation in A Differential Oligopoly Game," Working Papers 372, Dipartimento Scienze Economiche, Universita' di Bologna.
    6. Luca Lambertini & Andrea Mantovani, 2010. "Process and product innovation: A differential game approach to product life cycle," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(2), pages 227-252, June.
    7. Lambertini, Luca, 1997. "Prisoners' Dilemma in Duopoly (Super)Games," Journal of Economic Theory, Elsevier, vol. 77(1), pages 181-191, November.
    8. Roberto Cellini & Luca Lambertini, 2004. "Private And Social Incentives Towards Investment In Product Differentiation," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 6(04), pages 493-508.
    9. Cellini, Roberto & Lambertini, Luca, 2009. "Dynamic R&D with spillovers: Competition vs cooperation," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 568-582, March.
    10. Belleflamme,Paul & Peitz,Martin, 2015. "Industrial Organization," Cambridge Books, Cambridge University Press, number 9781107687899, June.
    11. Navas, Jorge & Kort, Peter M., 2007. "Time to complete and research joint ventures: A differential game approach," Journal of Economic Dynamics and Control, Elsevier, vol. 31(5), pages 1672-1696, May.
    12. L. Lambertini & F. Lotti & E. Santarelli, 2000. "Innovative Output, Infra-Industry Spilloves, and R&D Cooperation: Theory and Evidence," Working Papers 371, Dipartimento Scienze Economiche, Universita' di Bologna.
    13. De Bondt, Raymond, 1997. "Spillovers and innovative activities," International Journal of Industrial Organization, Elsevier, vol. 15(1), pages 1-28, February.
    14. Roma, Paolo & Perrone, Giovanni, 2016. "Cooperation among competitors: A comparison of cost-sharing mechanisms," International Journal of Production Economics, Elsevier, vol. 180(C), pages 172-182.
    15. Adrien Hervouet & Michel Trommetter, 2020. "Public-private R&D partnerships: A solution to increase knowledge sharing in R&D cooperation," Working Papers hal-02906270, HAL.
    16. Jeroen Hinloopen & Grega Smrkolj & Florian Wagener, 2016. "R&D Cooperatives and Market Collusion: A Global Dynamic Approach," Tinbergen Institute Discussion Papers 16-048/II, Tinbergen Institute.
    17. Cellini, Roberto & Lambertini, Luca, 2007. "A differential oligopoly game with differentiated goods and sticky prices," European Journal of Operational Research, Elsevier, vol. 176(2), pages 1131-1144, January.
    18. Leibowicz, Benjamin D., 2018. "Welfare improvement windows for innovation policy," Research Policy, Elsevier, vol. 47(2), pages 390-398.
    19. Nisvan Erkal & Deborah Minehart, 2007. "Optimal Sharing Strategies in Dynamic Games of Research and Development," EAG Discussions Papers 200707, Department of Justice, Antitrust Division.
    20. Yannis Caloghirou & Stavros Ioannides & Nicholas S. Vonortas, 2003. "Research Joint Ventures," Journal of Economic Surveys, Wiley Blackwell, vol. 17(4), pages 541-570, September.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:bol:bodewp:369. 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: Dipartimento Scienze Economiche, Universita' di Bologna (email available below). General contact details of provider: https://edirc.repec.org/data/sebolit.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.