Survey_KH_2020

Abstract

For symmetric di§erential games with linear constraints and a general time-separable utility function depending only on the playerís control variable, we provide an exact formula for interior symmetric Markovian-strategies. This exact solution, (a) serves as a guide for obtaining some new closed-form solutions and for characterizing multiple equilibria, and (b) implies that, if the utility function is an analytic function, then the Markovian strategies are analytic functions, too. This analyticity property facilitates the numerical computation of interior solutions of such games using polynomial projection methods and gives potential to computing modiÖed game versions with corner solutions by employing a homotopy approach.