Optimal Switching from Competition to Cooperation: A Preliminary Exploration

[en] In this paper, we tackle a generic optimal regime switching problem where the decision making process is not the same from a regime to another. Precisely, we consider a simple model of optimal switching from competition to cooperation. To this end, we solve a twostage optimal control problem. In the first stage, two players engage in a dynamic game with a common state variable and one control for each player. We solve for open-loop strategies with a linear state equation and linear-quadratic payoffs. More importantly, the players may also consider the possibility to switch at finite time to a cooperative regime with the associated joint optimization of the sum of the individual payoffs. Using theoretical analysis and numerical exercises, we study the optimal switching strategy from competition to cooperation. We also discuss the reverse switching.

Disciplines :

Quantitative methods in economics & management

Author, co-author :

Boucekkine, Raouf

Camacho, Carmen

ZOU, Benteng ; University of Luxembourg > Faculty of Law, Economics and Finance (FDEF) > Department of Economics and Management (DEM)

External co-authors :

yes

Language :

English

Title :

Optimal Switching from Competition to Cooperation: A Preliminary Exploration

Publication date :

2020

Main work title :

Dynamic economic problems with regime switches

Author, co-author :

Haunschmied, Josef

Kovacevic, Raimund

Semmler, Willi

Veliov, Vladimir

Publisher :

Springer

Collection name :

Dynamic Modeling and Econometrics in Economics and Finance 25

Peer reviewed :

Peer reviewed

Available on ORBilu :

since 05 January 2021

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