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Article Dans Une Revue Dynamic Games and Applications Année : 2011

Some Recent Aspects of Differential Game Theory

Rainer Buckdahn
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Pierre Cardaliaguet
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Marc Quincampoix
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Résumé

This survey paper presents some new advances in theoretical aspects of differential game theory. We particular focus on three topics: differential games with state constraints; backward stochastic differential equations approach to stochastic differential games; differential games with incomplete information. We also address some recent development in nonzero-sum differential games (analysis of systems of Hamilton-Jacobi equations by conservation laws methods; differential games with a large number of players, i.e., mean-field games) and long-time average of zero-sum differential games.

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Dates et versions

inria-00636552 , version 1 (27-10-2011)

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Rainer Buckdahn, Pierre Cardaliaguet, Marc Quincampoix. Some Recent Aspects of Differential Game Theory. Dynamic Games and Applications, 2011, 1 (1), pp.74-114. ⟨10.1007/s13235-010-0005-0⟩. ⟨inria-00636552⟩
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