Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider zero-sum repeated games with incomplete information on both sides, where the states privately observed by each player follow independent Markov chains. It generalizes the model, introduced by Aumann and Maschler in the sixties and solved by Mertens and Zamir in the seventies, where the private states of the players re fixed. It also includes the model introduced in Renault [19] [Renault J (2006) The value of Markov chain games with lack of information on one side. Math. Oper. Res. 31(3):490–512.], of Markov chain repeated games with lack of information on one side, where only one player privately observes the sequence of states.  prove here that the limit value exists, and  obtain a characterization via the Mertens-Zamir system, where the “nonrevealing value function” plugged in the system is now defined as the limit value of an auxiliary “nonrevealing” dynamic game. This nonrevealing game is defined by restricting the players not to reveal any information on the limit behavior of their ...
['Fabien Gensbittel', 'Jérôme Renault']
I am writing a research paper on a idea The Value of Markov Chain Games with Incomplete Information on Both Sides
[{"from": "human", "value": "I am writing a research paper on a idea The Value of Markov Chain Games with Incomplete Information on Both Sides"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider zero-sum repeated games with incomplete information on both sides, where the states privately observed by each player follow independent Markov chains. It generalizes the model, introduced by Aumann and Maschler in the sixties and solved by Mertens and Zamir in the seventies, where the private states of the players re fixed. It also includes the model introduced in Renault [19] [Renault J (2006) The value of Markov chain games with lack of information on one side. Math. Oper. Res. 31(3):490\u2013512.], of Markov chain repeated games with lack of information on one side, where only one player privately observes the sequence of states.  prove here that the limit value exists, and  obtain a characterization via the Mertens-Zamir system, where the \u201cnonrevealing value function\u201d plugged in the system is now defined as the limit value of an auxiliary \u201cnonrevealing\u201d dynamic game. This nonrevealing game is defined by restricting the players not to reveal any information on the limit behavior of their ..."}]