MEMOTEF, Sapienza University of Rome
Via del Castro Laurenziano 9
00161 Rome, Italy
email: Arsen.Palestini@uniroma1.it
Arsen Palestini
Abstract:
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 Via del Castro Laurenziano 9 00161 Rome, Italy email: Arsen.Palestini@uniroma1.it |
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