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“…A class of stochastic DGs with ergodic payoff were studied in [206], where it is not necessary for the diffusion system to be non-degenerate. In addition, linear-quadratic stochastic Stackelberg DGs were taken into consideration in [207] with asymmetric roles for players, [208] for jump-diffusion systems, [209] without the solvability assumption on the associated Riccati equations, and [210] with model uncertainty. And a Stackelberg stochastic DG with nonlinear dynamics and asymmetric noisy observation was addressed in [211].…”
Section: Zero-sum Differential Gamesmentioning
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“…A class of stochastic DGs with ergodic payoff were studied in [206], where it is not necessary for the diffusion system to be non-degenerate. In addition, linear-quadratic stochastic Stackelberg DGs were taken into consideration in [207] with asymmetric roles for players, [208] for jump-diffusion systems, [209] without the solvability assumption on the associated Riccati equations, and [210] with model uncertainty. And a Stackelberg stochastic DG with nonlinear dynamics and asymmetric noisy observation was addressed in [211].…”
Section: Zero-sum Differential Gamesmentioning
“…The best strategy of the leader together with the best response of the follower is known as a Stackelberg solution. Since then, Stackelberg game has been studied extensively by many authors because of its wide application in various fields, including economics and finance, management and decision, transportation and evolutionary biology (see, for example, [20,22,23,34]). We would like to point out that many existed literatures only investigated the Stackelberg game with one leader and one follower.…”
Section: Introductionmentioning
“…Yong [28] extended the LQ stochastic Stackelberg differential game to random and state-control dependent coefficients, and obtained the feedback representation of the open-loop solution via some stochastic Riccati equations. In the past decades, there have been a great deal of works on this issue, for jump diffusions see Øksendal et al [15], Moon [11], for different information structures see Başar and Olsder [3], Bensoussan et al [2], for time-delayed systems see Xu and Zhang [27], Xu et al [26], for mean field's type models related with multiple followers and large populations see Mukaidani and Xu [14], Moon and Başar [12], Li and Yu [10], Lin et al [7], Wang and Zhang [25], for partial/asymmetric/overlapping information see Shi et al [18,19,20], for backward stochastic systems see Du and Wu [6], Zheng and Shi [30], for time-inconsistent case see Moon and Yang [13].…”
Section: Introductionmentioning