In this paper we study the question of robust stabilization of infinite dimensional stochastic systems against uncertainty induced by relatively bounded perturbations of the principal operator determining the system. We present results on state feedback robust stabilization with a general decay....

We analyze a dynamic implication of an evolutionary process in a population where both actions and network structures changes over time. At every period, a coordination game is played by players who are linked with each other. An asymmetric cost of a link is incorporated. Under this setting each...

It is shown that player mobility has important consequences for the long-run equilibrium distribution in dynamic evolutionary models of strategy adjustment, when updating is prone to small probability perturbations, i.e. “mistakes” or “mutations.” Ellison (1993) concluded that the effect...

It is shown that player mobility has important consequences for the long-run equilibrium distribution in dynamic evolutionary models of strategy adjustment, when updating is prone to small probability perturbations, i.e. “mistakes” or “mutations.” Ellison (1993) concluded that the effect...

A strategy revision process in symmetric normal form games is proposed. Following Kandori, Mailath, and Rob (1993), members of a population periodically revise their strategy choice, and choose a myopic best response to currently observed play. Their payoffs are perturbed by normally distributed...

We study a Hamilton-Jacobi-Bellman equation related to the optimal control of a stochastic semilinear equation on a Hilbert space X. We show the existence and uniqueness of solutions to the HJB equation and prove the existence and uniqueness of feedback controls for the associated control...

Abstract It is shown that player mobility has important consequences for the long-run equilibrium distribution in dynamic evolutionary models of strategy adjustment, when updating is prone to small probability perturbations, i.e. “mistakes" or “mutations." Ellison (1993) concluded that the...

It is shown that player mobility has important consequences for the long-run equilibrium distribution in dynamic evolutionary models of strategy adjustment, when updating is prone to small probability perturbations, i.e. ``mistakes'' or ``mutations.'' Ellison (1993) concluded that the effect on...