Reference : Differential Games with (A)symmetric Players and Heterogeneous Strategies
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Differential Games with (A)symmetric Players and Heterogeneous Strategies
Zou, Benteng mailto [University of Luxembourg > Faculty of Law, Economics and Finance (FDEF) > Center for Research in Economic Analysis (CREA) >]
[en] Differential game, subgame perfect Markovian Nash Equilibrium, Heterogeneous strategy, anticipating open-loop strategy
[en] One family of heterogeneous strategies in differential games with (a)symmetric
players is developed in which one player adopts an anticipating open-loop strategy
and the other adopts a standard Markovian strategy. Via conjecturing principle,
the anticipating open-loop strategic player plans his strategy based on the possible
updating the rival player may take. These asymmetric strategies frame nondegenerate
Markovian Nash Equilibrium, which can be subgame perfect. Except
the stationary path, this kind of strategy makes the study of short-run trajectory
possible, which usually are not subgame perfect. However, the short-run nonperfection
provides very important policy suggestions.

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