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- ISIDORE Id: 10670/1.06d062...
- halshs: halshs-02434786
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Distribution, Cooperative Cooperative distribution Cooperative movement Competition (Economics) Economic competition Competitiveness (Economics)Citer ce document
Raouf Boucekkine et al., « Optimal switching from competition to cooperation: a preliminary exploration », HAL SHS (Sciences de l’Homme et de la Société), ID : 10670/1.06d062...
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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 two- stage 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 the- oretical analysis and numerical exercises, we study the optimal switching strategy from competition to cooperation. We also discuss the reverse switching.
