A BSDE approach to stochastic differential games with incomplete information
We consider a two-player zero-sum stochastic differential game in which one of the players has a private information on the game. Both players observe each other, so that the non-informed player can try to guess his missing information. Our aim is to quantify the amount of information the informed player has to reveal in order to play optimally: to do so, we show that the value function of this zero-sum game can be rewritten as a minimization problem over some martingale measures with a payoff given by the solution of a backward stochastic differential equation.
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Volume (Year): 122 (2012)
Issue (Month): 4 ()
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- N. El Karoui & S. Peng & M. C. Quenez, 1997. "Backward Stochastic Differential Equations in Finance," Mathematical Finance, Wiley Blackwell, vol. 7(1), pages 1-71.
- Cardaliaguet, Pierre & Rainer, Catherine, 2009. "Stochastic Differential Games with Asymmetric Information," Economics Papers from University Paris Dauphine 123456789/6927, Paris Dauphine University.
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