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Markovian strategies with continuous and impulse controls for a differential game model of revolution.
- Source :
- Journal of Mathematical Sociology; 2021, Vol. 45 Issue 2, p79-99, 21p
- Publication Year :
- 2021
-
Abstract
- This paper is concerned with a piecewise-deterministic differential game model of political regime changes. We modify and study the model proposed by Boucekkine et al. in [7]. The original model does not allow all players to take full controls as the situation progresses. Hence, it does not lead to closed-loop strategies. We fix the problem by deriving and using a system of quasi-variational inequalities associated with the differential game, and proving a criterion for the regime change. As a result, we find Markovian strategies for all players. A numerical example for illustration of the method is given. Implications of the results to political changes in a society are discussed. Some results are extended to more general models that incorporate gradual and abrupt changes, as well as continuous and impulse controls. [ABSTRACT FROM AUTHOR]
- Subjects :
- DIFFERENTIAL games
POLITICAL change
DIFFERENTIAL inequalities
Subjects
Details
- Language :
- English
- ISSN :
- 0022250X
- Volume :
- 45
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Journal of Mathematical Sociology
- Publication Type :
- Academic Journal
- Accession number :
- 149843286
- Full Text :
- https://doi.org/10.1080/0022250X.2020.1726344