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On the Coincidence of the Feedback Nash and Stackelberg Equilibria in Economic Applications of Differential Games

2002

In this paper the scope of the applicability of the Stackelberg equilibrium concept in differential games is investigated. Firstly, conditions for obtaining the coincidence between the Stackelberg and Nash equilibria are defined in terms of the instantaneous pay-off function and the state equation of the game. Secondly, it is showed that for a class of differential games with state-interdependence both equilibria are identical independently of the player being the leader of the game. A survey of different economic models shows that this coincidence is going to occur for a good number of economic applications of differential games. This result appears because of the continuous-time setting i…

Computer Science::Computer Science and Game TheoryCorrelated equilibriumMathematical optimizationjel:D62Differential Games; Stationary Feedback Nash Equilibrium; Stationary Feedback Stackelberg Equilibrium; Coincidence.ComputingMilieux_PERSONALCOMPUTINGjel:C73Trembling hand perfect equilibriumjel:H41Differential games stationary feedback Nash equilibrium stationary feedback Stackelberg equilibrium.symbols.namesakeEquilibrium selectionNash equilibriumBest responsejel:Q20jel:Q30Repeated gameEconomicsStackelberg competitionsymbolsEpsilon-equilibriumMathematical economicsSSRN Electronic Journal
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