The paper is concerned with Stackelberg solutions for a differential game with deterministic dynamics but random initial data, where the leading player can adopt a strategy in feedback form: u1 = u1(t, x). The first main result provides the existence of a Stackelberg equilibrium solution, assuming that the family of feedback controls u1(t, ·) available to the leading player are constrained to a...

This paper considers co-investment in a supply chain infrastructure using an inter-temporal model. We assume that firms’ capital is essentially the supply chain’s infrastructure. As a result, firms’ policies consist in selecting an optimal level of employment as well as the level of co-investment in the supply chain infrastructure. Several applications and examples are presented and open-loop, ...

This paper considers a variant of two-player linear quadratic stochastic differential games. In this framework, none of the players has access to the state observations for all the time, which restricts the possibility of continuous feedback strategies. However, they can observe the state intermittently at discrete time instances by paying some finite cost. Having on demand costly measurements ...

This paper studies market outcome equivalence of two dynamic productioncapital investment games under uncertainty. One is played under complete information, while the other, feedback (FB) game, is played under incomplete information about the opponents’ costs and market demand. The FB game structure may be observed in some newly initiated industries, in which a homogeneous good is exchanged via...

This paper is built on the fundamental of Jorgensen and Sorge considering a differential game about fishery problem. In reality, exploiters can be many because non-excludability common resource. Thus, we expand former two players model to N find more different equilibriums in scenario. Through this, want some guidance for changing resource stock. Further control overexploitation.