Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная › Рецензирование
On the Structure and Regularity of Optimal Solutions in a Differential Game with Regime Switching and Spillovers. / Bondarev, Anton; Gromov, Dmitry .
Dynamic Economic Problems with Regime Switches. ред. / Vladimir Veliov; Josef L. Haunschmied; Raimund M. Kovacevic; Willi Semmler. Springer Nature, 2021. стр. 187-208 (Dynamic Modeling and Econometrics in Economics and Finance; Том 25).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная › Рецензирование
}
TY - CHAP
T1 - On the Structure and Regularity of Optimal Solutions in a Differential Game with Regime Switching and Spillovers
AU - Bondarev, Anton
AU - Gromov, Dmitry
PY - 2021
Y1 - 2021
N2 - Dynamic games with multiple regimes frequently appear in economic literature. It is well known that, in regime-switching systems, novel effects emerge which do not appear in smooth problems. In this contribution, we explore in detail a differential game with regime switching and spillovers and study the behavior of optimal trajectories both in cooperative and non-cooperative differential game settings. We explicitly derive analytic solutions and point out cases where these solutions cannot be obtained via the application of maximum principle. We demonstrate that our approach that is based on an extension of the classical maximum principle agrees with the intuition given by the hybrid maximum principle while being more convenient for solving problems at hand.
AB - Dynamic games with multiple regimes frequently appear in economic literature. It is well known that, in regime-switching systems, novel effects emerge which do not appear in smooth problems. In this contribution, we explore in detail a differential game with regime switching and spillovers and study the behavior of optimal trajectories both in cooperative and non-cooperative differential game settings. We explicitly derive analytic solutions and point out cases where these solutions cannot be obtained via the application of maximum principle. We demonstrate that our approach that is based on an extension of the classical maximum principle agrees with the intuition given by the hybrid maximum principle while being more convenient for solving problems at hand.
UR - https://link.springer.com/chapter/10.1007/978-3-030-54576-5_8
UR - https://www.mendeley.com/catalogue/d76ebb21-4c6c-3a4f-9c69-8454e6b108ae/
U2 - 10.1007/978-3-030-54576-5_8
DO - 10.1007/978-3-030-54576-5_8
M3 - Chapter
T3 - Dynamic Modeling and Econometrics in Economics and Finance
SP - 187
EP - 208
BT - Dynamic Economic Problems with Regime Switches
A2 - Veliov, Vladimir
A2 - Haunschmied, Josef L.
A2 - Kovacevic, Raimund M.
A2 - Semmler, Willi
PB - Springer Nature
ER -
ID: 71417789