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A Nash Equilibrium for Differential Games with Moving-horizon Strategies

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  • Enrico Saltari
  • Willi Semmler
  • Giovanni Di Bartolomeo

Abstract

Our paper aims at introducing a moving-horizon interaction in a strategic context. We assume that, in each instant of time, players can predict the effects of their actions and those of their opponents on a finite moving horizon. We define an equilibrium concept which is consistent in this setting and develop an appropriate algorithm to compute it by using nonlinear model predictive control techniques. Focusing on the length of forecasting horizon, we propose two economic interpretations for our equilibrium, based on the limited rationality and political economy literature.To provide some practical insights of our approach, we consider a debt stabilization game in a monetary union.

Suggested Citation

  • Enrico Saltari & Willi Semmler & Giovanni Di Bartolomeo, 2021. "A Nash Equilibrium for Differential Games with Moving-horizon Strategies," Working Papers in Public Economics 197, University of Rome La Sapienza, Department of Economics and Law.
    • Handle: RePEc:sap:wpaper:wp197
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    Cited by:

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    2. Semmler, Willi & Di Bartolomeo, Giovanni & Minooei Fard, Behnaz & Braga, Joao Paulo, 2022. "Limit pricing and entry game of renewable energy firms into the energy sector," Structural Change and Economic Dynamics, Elsevier, vol. 61(C), pages 179-190.
    3. Behnaz Minooei Fard & Willi Semmler & Giovanni Di Bartolomeo, 2023. "Rare Earth Elements: A game between China and the rest of the world," Working Papers in Public Economics 235, University of Rome La Sapienza, Department of Economics and Law.

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    More about this item

    Keywords

    Strategic interactions; Non–linear models; Model predictive control; Fiscal and monetary policy; Public debt;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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