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Deterministic Differential Games Under Probability Knowledge Of Initial Condition

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Author Info
P. CARDALIAGUET () (Laboratoire de Mathématiques, CNRS UMR 6205 Université de Bretagne Occidentale, 6 Avenue Le Gorgeu, 29200 Brest, France)
M. QUINCAMPOIX () (Laboratoire de Mathématiques, CNRS UMR 6205 Université de Bretagne Occidentale, 6 Avenue Le Gorgeu, 29200 Brest, France)
Abstract

We study a zero-sum differential game where the players have only an unperfect information on the state of the system. In the beginning of the game only a random distribution on the initial state is available. The main result of the paper is the existence of the value obtained through an uniqueness result for Hamilton-Jacobi-Isaacs equations stated on the space of measure in ℝn. This result is the first step for future work on differential games with lack of information.

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Publisher Info
Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Game Theory Review.

Volume (Year): 10 (2008)
Issue (Month): 01 ()
Pages: 1-16
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Handle: RePEc:wsi:igtrxx:v:10:y:2008:i:01:p:1-16

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Related research
Keywords: Differential games; incomplete information; Hamilton-Jacobi-Isaacs equation; 22E46; 53C35; 57S20;

Find related papers by JEL classification:
B4 - Schools of Economic Thought and Methodology - - Economic Methodology
C0 - Mathematical and Quantitative Methods - - General
C6 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
D5 - Microeconomics - - General Equilibrium and Disequilibrium
D7 - Microeconomics - - Analysis of Collective Decision-Making
M2 - Business Administration and Business Economics; Marketing; Accounting - - Business Economics

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This page was last updated on 2009-12-9.

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