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Hamiltonian Potential Functions for Differential Games

Author

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  • 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)

Abstract

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.

Suggested Citation

  • Davide Dragone & Luca Lambertini & George Leitmann & Arsen Palestini, 2015. "Hamiltonian Potential Functions for Differential Games," Working Paper series 15-25, Rimini Centre for Economic Analysis.
    • Handle: RePEc:rim:rimwps:15-25
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    References listed on IDEAS

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    Cited by:

    1. Alejandra Fonseca-Morales & Onésimo Hernández-Lerma, 2018. "Potential Differential Games," Dynamic Games and Applications, Springer, vol. 8(2), pages 254-279, June.
    2. 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.
    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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