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Does Flexibility Facilitate Sustainability of Cooperation Over Time? A Case Study from Environmental Economics

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  • Javier Frutos

    (Universidad de Valladolid)

  • Guiomar Martín-Herrán

    (Universidad de Valladolid)

Abstract

In this paper we present nonlinear incentive strategies that can be applied to a class of differential games that are frequently used in the literature, in particular, in environmental economics literature. We consider a class of nonlinear incentive functions that depend on the control variables of both players and on the current value of the state variable. The strategies are constructed to allow some flexibility in the sense that, unlike the common literature on the subject, the optimal state path evolves close to the cooperative trajectory. As a consequence of this flexibility, the incentive equilibrium is credible in a larger region than the one associated with the usual linear incentive strategies.

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  • Javier Frutos & Guiomar Martín-Herrán, 2015. "Does Flexibility Facilitate Sustainability of Cooperation Over Time? A Case Study from Environmental Economics," Journal of Optimization Theory and Applications, Springer, vol. 165(2), pages 657-677, May.
    • Handle: RePEc:spr:joptap:v:165:y:2015:i:2:d:10.1007_s10957-014-0573-z
    DOI: 10.1007/s10957-014-0573-z
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    1. Javier Frutos & Víctor Gatón & Paula M. López-Pérez & Guiomar Martín-Herrán, 2022. "Investment in Cleaner Technologies in a Transboundary Pollution Dynamic Game: A Numerical Investigation," Dynamic Games and Applications, Springer, vol. 12(3), pages 813-843, September.
    2. de Frutos, Javier & Martín-Herrán, Guiomar, 2019. "Spatial vs. non-spatial transboundary pollution control in a class of cooperative and non-cooperative dynamic games," European Journal of Operational Research, Elsevier, vol. 276(1), pages 379-394.
    3. Javier Frutos & Guiomar Martín-Herrán, 2018. "Selection of a Markov Perfect Nash Equilibrium in a Class of Differential Games," Dynamic Games and Applications, Springer, vol. 8(3), pages 620-636, September.
    4. Engwerda, Jacob, 2017. "Stabilization of an Uncertain Simple Fishery Management Game," Other publications TiSEM 3823c5f7-1ade-4bd2-bcb8-e, Tilburg University, School of Economics and Management.

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