Prof. YEUNG Wing Kay, DavidDavidProf. YEUNG Wing Kay2021-02-262021-02-262001Journal of Optimization Theory and Applications, 2001, vol. 111, pp. 445-460.0022-3239http://hdl.handle.net/20.500.11861/6454In this paper, we consider infinite-horizon stochastic differential games with an autonomous structure and steady branching payoffs. While the introduction of additional stochastic elements via branching payoffs offers a fruitful alternative to modeling game situations under uncertainty, the solution to such a problem is not known. A theorem on the characterization of a Nash equilibrium solution for this kind of games is presented. An application in renewable resource extraction is provided to illustrate the solution mechanism.enPeer Reviewed Journal Article10.1023/A:1011994604278