دورية أكاديمية

A zero sum differential game with correlated informations on the initial position. A case with a continuum of initial positions.

التفاصيل البيبلوغرافية
العنوان: A zero sum differential game with correlated informations on the initial position. A case with a continuum of initial positions.
المؤلفون: Jimenez, Chloé
المصدر: Journal of Dynamics & Games; Jul2021, Vol. 8 Issue 3, p233-266, 34p
مصطلحات موضوعية: ZERO sum games, PROBABILITY measures, MATHEMATICAL continuum, CONTINUOUS distributions
مستخلص: We study a two player zero sum game where the initial position is not communicated to any player. The initial position is a function of a couple where is communicated to player Ⅰ while is communicated to player Ⅱ. The couple is chosen according to a probability measure. We show that the game has a value and, under additional regularity assumptions, that the value is a solution of Hamilton Jacobi Isaacs equation in a dual sense. [ABSTRACT FROM AUTHOR]
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