On a Continuous-Time Game with Incomplete Information

被引:29
|
作者
Cardaliaguet, Pierre [1 ]
Rainer, Catherine [1 ]
机构
[1] Univ Brest, CNRS, Math Lab, UMR 6205, F-29285 Brest, France
关键词
continuous-time game; incomplete information; Hamilton-Jacobi equations;
D O I
10.1287/moor.1090.0414
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
For zero-sum two-player continuous-time games with integral payoff and incomplete information on one side, the authors show that the optimal strategy of the informed player can be computed through an auxiliary optimization problem over some martingale measures. The authors also characterize the optimal martingale measures and compute them explicitly in several examples.
引用
收藏
页码:769 / 794
页数:26
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