Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider a class of n-player stochastic games with the following properties: (1) in every state, the transitions are controlled by one player; (2) the payoffs are equal to zero in every nonabsorbing state; (3) the payoffs are nonnegative in every absorbing state.  propose a new iterative method to analyze these games. With respect to the expected average reward,  prove the existence of a subgame-perfect e-equilibrium in pure strategies for every e > 0. Moreover, if all transitions are deterministic,  obtain a subgame-perfect 0-equilibrium in pure strategies.
['János Flesch', 'Jeroen Kuipers', 'Gijs Schoenmakers', 'Koos Vrieze']
I am writing a research paper on a idea Subgame Perfection in Positive Recursive Games with Perfect Information
[{"from": "human", "value": "I am writing a research paper on a idea Subgame Perfection in Positive Recursive Games with Perfect Information"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider a class of n-player stochastic games with the following properties: (1) in every state, the transitions are controlled by one player; (2) the payoffs are equal to zero in every nonabsorbing state; (3) the payoffs are nonnegative in every absorbing state.  propose a new iterative method to analyze these games. With respect to the expected average reward,  prove the existence of a subgame-perfect e-equilibrium in pure strategies for every e > 0. Moreover, if all transitions are deterministic,  obtain a subgame-perfect 0-equilibrium in pure strategies."}]