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Hamiltonian potential functions for differential games

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  • D. Dragone
  • L. Lambertini
  • G. Leitmann
  • A. Palestini

Abstract

We introduce the concept of Hamiltonian potential function for noncooperative open-loop differential games with n players, n controls and n states, and characterise a sufficient condition for its existence. We also identify a class of games admitting a Hamiltonian potential and provide appropriate examples pertaining to advertising, industrial organization and macroeconomic policy.

Suggested Citation

  • D. Dragone & L. Lambertini & G. Leitmann & A. Palestini, 2008. "Hamiltonian potential functions for differential games," Working Papers 644, Dipartimento Scienze Economiche, Universita' di Bologna.
    • Handle: RePEc:bol:bodewp:644
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    References listed on IDEAS

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    Cited by:

    1. Engwerda, J.C., 2012. "Prospects of Tools from Differential Games in the Study Of Macroeconomics of Climate Change," Discussion Paper 2012-045, Tilburg University, Center for Economic Research.
    2. Alejandra Fonseca-Morales & Onésimo Hernández-Lerma, 2018. "Potential Differential Games," Dynamic Games and Applications, Springer, vol. 8(2), pages 254-279, June.
    3. L. Lambertini, 2013. "Coordinating Static and Dynamic Supply Chains with Advertising through Two-Part Tariffs," Working Papers wp874, Dipartimento Scienze Economiche, Universita' di Bologna.

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