IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Log in (now much improved!) to save this paper

Hamiltonian Potential Functions for Differential Games

Listed author(s):
  • Davide Dragone

    ()

    (Department of Economics, University of Bologna, Italy)

  • Luca Lambertini

    ()

    (Department of Economics, University of Bologna, Italy; ENCORE, University of Amsterdam, The Netherlands; The Rimini Centre for Economic Analysis, Italy)

  • George Leitmann

    ()

    (College of Engineering, University of California at Berkeley, United States of America)

  • Arsen Palestini

    ()

    (MEMOTEF, Sapienza University of Rome, Italy)

We introduce the concept of Hamiltonian potential functions for non-cooperative open-loop differential games and we characterize sufficient conditions for their existence. We also identify a class of games admitting a Hamiltonian potential and illustrate the related properties of their dynamic structure. Possible similarities with the theory of quasi-aggregative games are discussed. As an illustration, we consider an asymmetric oligopoly game with process innovation.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.rcea.org/RePEc/pdf/wp15-25.pdf
Download Restriction: no

Paper provided by The Rimini Centre for Economic Analysis in its series Working Paper Series with number 15-25.

as
in new window

Length:
Date of creation: Jul 2015
Handle: RePEc:rim:rimwps:15-25
Contact details of provider: Postal:
Via Patara, 3, 47921 Rimini (RN)

Phone: +390541434142
Fax: +39054155431
Web page: http://rcea.org
Email:


More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as
in new window


  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. Engelbert Dockner & Gustav Feichtinger, 1991. "On the optimality of limit cycles in dynamic economic systems," Journal of Economics, Springer, vol. 53(1), pages 31-50, February.
  3. Kukushkin, Nikolai S., 2004. "Best response dynamics in finite games with additive aggregation," Games and Economic Behavior, Elsevier, vol. 48(1), pages 94-110, July.
  4. R. Cellini & L. Lambertini, 2004. "R&D Incentives and Market Structure: A Dynamic Analysis," Working Papers 497, Dipartimento Scienze Economiche, Universita' di Bologna.
  5. 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.
  6. Dubey, Pradeep & Haimanko, Ori & Zapechelnyuk, Andriy, 2006. "Strategic complements and substitutes, and potential games," Games and Economic Behavior, Elsevier, vol. 54(1), pages 77-94, January.
  7. Gustav Feichtinger & Richard F. Hartl & Suresh P. Sethi, 1994. "Dynamic Optimal Control Models in Advertising: Recent Developments," Management Science, INFORMS, vol. 40(2), pages 195-226, February.
  8. Slade, Margaret E, 1994. "What Does an Oligopoly Maximize?," Journal of Industrial Economics, Wiley Blackwell, vol. 42(1), pages 45-61, March.
  9. Martin Jensen, 2010. "Aggregative games and best-reply potentials," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 45-66, April.
  10. Kamien, Morton I. & Zang, Israel, 2000. "Meet me halfway: research joint ventures and absorptive capacity," International Journal of Industrial Organization, Elsevier, vol. 18(7), pages 995-1012, October.
  11. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:rim:rimwps:15-25. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Marco Savioli)

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.