Abstract
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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Buckdahn, R., Cardaliaguet, P. & Quincampoix, M. Some Recent Aspects of Differential Game Theory. Dyn Games Appl 1, 74–114 (2011). https://doi.org/10.1007/s13235-010-0005-0
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DOI: https://doi.org/10.1007/s13235-010-0005-0