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All symmetric equilibria in differential games with public goods

Author

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  • Niko Jaakkola

    (University of Bologna)

  • Florian Wagener

    (University of Amsterdam)

Abstract

We characterise the entire set of symmetric stationary Markov-perfect Nash equilibria (MPE) in a differential game of public good investment, using the canonical problem of climate change as an example. We provide a sufficient and necessary condition for MPE and show how the entire set of MPE is constructed. The equilibrium in continuous strategies, unique in our context, is Pareto-dominated by any other equilibrium. If a Pareto- undominated steady state exists, it is sustained by trigger-like strategies, with deviations above and below the steady state leading to different re- sponses. We extend the theory of differential games to deal with payoffs under discontinuous strategies. Our methods work under general functional forms.

Suggested Citation

  • Niko Jaakkola & Florian Wagener, 2020. "All symmetric equilibria in differential games with public goods," Tinbergen Institute Discussion Papers 20-020/II, Tinbergen Institute.
    • Handle: RePEc:tin:wpaper:20200020
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    Cited by:

    1. Johannes M. Schumacher & Puduru Viswanadha Reddy & Jacob C. Engwerda, 2022. "Jump Equilibria in Public-Good Differential Games with a Single State Variable," Dynamic Games and Applications, Springer, vol. 12(3), pages 784-812, September.

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    More about this item

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • Q54 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Climate; Natural Disasters and their Management; Global Warming

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