Selection of One Nash Equilibrium in the One-Dimensional Linear-Quadratic Differential Game

P. Cartigny and Philippe Michel

G.R.E.Q.A.M. from Universite Aix-Marseille III

Abstract: We study a selection method for a Nash feedback equilibrium of a one-dimensional linear-quadratic nonzero sum game over an infinite horizon: by introducing a change in the time variable, one obtains an associated game over a finite horizon T > 0 and with free terminal state. This associated game admits a unique solution which converges to a particular Nash feedback equilibrium of the original problem as the horizon T goes to infinity.

Keywords: GAMES; TIME FACTOR; ECONOMIC MODELS (search for similar items in EconPapers)
JEL-codes: C61 C72 (search for similar items in EconPapers)
Pages: 13 pages
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:fth:aixmeq:00a15

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