Abstract
This paper studies an important type of production problems in which production takes place in several stages. These problems are modeled as sequential production games, a specific class of extensive form games with imperfect information. These games are related to potential games. Despite the presence of imperfect information, it is shown that pure strategy subgame perfect Nash equilibria do exist, thus allowing for easily adopt able recommendations to firms seeking the advice of game theorists.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Borm P., Facchini G., Van Megen F., Tijs S., and Voorneveld M. (1997) Strong Nash equilibria and the potential maximizer, mimeo, Tilburg University.
Facchini G., Van Megen F., Borm P., and Tijs S. (1997) Congestion models and weighted Bayesian potential games, Theory and Decision, 42, pp. 193–206.
Holzman R. and Law-Yone N. (1997) Strong equilibrium in congestion games, Games and Economic Behavior, 21, pp. 85–101.
Konishi H., Le Breton M., and Weber S. (1997) Equilibrium in a model with partial rivalry, Journal of Economic Theory, 72, pp. 225–237.
Milchtaich I. (1996) Congestion models with player specific payoff functions, Games and Economic Behavior, 13, pp. 111–124.
Monderer D. and Shapley L.S. (1996) Potential games, Games and Economic Behavior, 14, pp. 124–143.
Peleg B., Potters J., and Tijs S. (1996) Minimality of consistent solutions for strategic games, in particular for potential games, Economic Theory, 7, pp. 81–93.
Peleg B. and Tijs S. (1996) The consistency principle for games in strategic form, International Journal of Game Theory, 25, pp. 13–34.
Quint T. and Shubik M. (1994) A model of migration, working paper, Cowles Foundation, Yale University.
Rosenthal R.W. (1973) A class of games possessing pure strategy Nash equilibria, International Journal of Game Theory, 2, pp. 65–67.
Voorneveld M., Koster M., and Reijnierse H. (1998) Voluntary contribution to multiple facilities; a class of ordinal potential games, mimeo, Tilburg University.
Voorneveld M. and Norde H. (1997) A characterization of ordinal potential games, Games and Economic Behavior, 19, pp. 235–242.
Voorneveld M. (1997) Equilibria and approximate equilibria in infinite potential games, Economics Letters, 56, pp. 163–169.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Science+Business Media New York
About this chapter
Cite this chapter
Voorneveld, M., Tijs, S., Mallozzi, L. (2000). Sequential Production Situations and Potentials. In: Patrone, F., GarcÃa-Jurado, I., Tijs, S. (eds) Game Practice: Contributions from Applied Game Theory. Theory and Decision Library, vol 23. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4627-6_16
Download citation
DOI: https://doi.org/10.1007/978-1-4615-4627-6_16
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7092-5
Online ISBN: 978-1-4615-4627-6
eBook Packages: Springer Book Archive