Analytic solutions for Hamilton-Jacobi-Bellman equations
Date
2017-01-10
Authors
Palestini, Arsen
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Hamilton-Jacobi-Bellman equations, Feedback equilibrium, Differential game
Citation
Palestini, A. (2017). Analytic solutions for Hamilton-Jacobi-Bellman equations. <i>Electronic Journal of Differential Equations, 2017</i>(08), pp. 1-11.
Rights
Attribution 4.0 International