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On a Class of Recursive Games

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Part of the book series: NATO Science Series ((ASIC,volume 570))

Abstract

This chapter complements [9], and completes the proof of existence of uniform equilibrium payoffs in two-player non-zero-sum stochastic games with finite state and action sets. It is devoted to the analysis of games that are recursive in the sense of [6], and that have some further properties.

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References

  1. Everett, H. (1957) Recursive games, in M. Dresher, A. W. Tucker and P. Wolfe (eds.), Contributions to the Theory of Games, Vol. III, Annals of Mathematics Studies 39, Princeton University Press, Princeton, NJ, pp. 47–78.

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  4. Solan, E. (2000) Stochastic games with two non-absorbing states, Israel Journal of Mathematics 119, 29–54.

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  6. Thuijsman, F. (2003) Recursive games, in A. Neyman and S. Sorin (eds.), Stochastic Games and Applications, NATO Science Series C, Mathematical and Physical Sciences, Vol. 570, Kluwer Academic Publishers, Dordrecht, Chapter 16, pp. 253–264.

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  7. Vieille, N. (1992) Contributions à la théorie des jeux répétés, Thèse de doctorat, Université Paris VI.

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  8. Vieille, N. (2000) Two-player stochastic games II: The case of recursive games, Israel Journal of Mathematics 119, 93–126.

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  9. Vieille, N. (2003) Two-player non-zero-sum games: A reduction, in A. Neyman and S. Sorin (eds.), Stochastic Games and Applications, NATO Science Series C, Mathematical and Physical Sciences, Vol. 570, Kluwer Academic Publishers, Dordrecht, Chapter 18, pp. 281–292.

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Vieille, N. (2003). On a Class of Recursive Games. In: Neyman, A., Sorin, S. (eds) Stochastic Games and Applications. NATO Science Series, vol 570. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0189-2_19

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  • DOI: https://doi.org/10.1007/978-94-010-0189-2_19

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-1493-2

  • Online ISBN: 978-94-010-0189-2

  • eBook Packages: Springer Book Archive

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