Abstract
In this paper we present an extension of a direct solution method, originally due to Leitmann (1967) for single-player games on a finite time interval, to a class of infinite horizon N-player games in which the state equation is affine in the strategies of the players. Our method, based on a coordinate transformation method, gives sufficient conditions for an open-loop Nash equilibrium. An example is presented to illustrate the utility of our results.
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© 2005 Springer
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Carlson, D.A., Leitmann, G. (2005). The Direct Method for A Class of Infinite Horizon Dynamic Games. In: Deissenberg, C., Hartl, R.F. (eds) Optimal Control and Dynamic Games. Advances in Computational Management Science, vol 7. Springer, Boston, MA. https://doi.org/10.1007/0-387-25805-1_19
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DOI: https://doi.org/10.1007/0-387-25805-1_19
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-25804-1
Online ISBN: 978-0-387-25805-8
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