Closed form solutions are found for a particular class of Hamilton-Jacobi-Bellman equations emerging from a differential game among firms competing over quantities in a simultaneous oligopoly framework. After the derivation of the solutions, a microeconomic example in a non-standard market is presented where feedback equilibrium is calculated with the help of one of the previous formulas.
Submitted August 14, 2016. Published January 10, 2017.
Math Subject Classifications: 35C05, 49L20, 91A23.
Key Words: Hamilton-Jacobi-Bellman equations; feedback equilibrium; differential game.
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| Arsen Palestini |
MEMOTEF, Sapienza University of Rome
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