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From ultimatum to Nash bargaining: Theory and experimental evidence

Published online by Cambridge University Press:  14 March 2025

Sven Fischer*
Affiliation:
Institut für Wirtschaftstheorie und Operations Research, Universität Karlsruhe (TH), 78128 Karlsruhe, Germany
Werner Güth*
Affiliation:
Max Planck Institute for Research into Economic Systems, 07745 Jena, Germany
Wieland Müller*
Affiliation:
Department of Economics, Tilburg University, 5000LE Tilburg, The Netherlands
Andreas Stiehler
Affiliation:
Max Planck Institute for Research into Economic Systems, 07745 Jena, Germany

Abstract

We consider a sequential two-party bargaining game with uncertain information transmission. When the first mover states her demand she does only know the probability with which the second mover will be informed about it. The informed second mover can either accept or reject the offer and payoffs are determined as in the ultimatum game. Otherwise the uninformed second mover states his own demand and payoffs are determined as in the Nash demand game. In the experiment we vary the commonly known probability of information transmission. Our main finding is that first movers’ and uninformed second movers’ demands adjust to this probability as qualitatively predicted, that is, first movers’ (uninformed second movers’) demands are lower (higher) the lower the probability of information transmission.

Type
Research Article
Copyright
Copyright © 2006 Economic Science Association

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References

Bagwell, K. (1995). Commitment and observability in games. Games and Economic Behavior, 8, 271280.CrossRefGoogle Scholar
Cabrales, A., Garcia-Fontes, W., & Motta, M. (2000). Risk dominance selects the leader: An experimental analysis. International Journal of Industrial Organization, 18, 137162.CrossRefGoogle Scholar
Chakravorti, B., & Spiegel, Y (1993). Commitment under imperfect observability: Why it is better to have followers who know that they don't know rather than those who don't know that they don't know. Bellcore Economics Discussion Paper No. 103.Google Scholar
Charness, G. (2000). Self-serving cheap talk and credibility: a test of aumann's conjecture. Games and Economic Behavior, 33, 177194.CrossRefGoogle Scholar
Fershtman, C., Judd, K. L., & Kalai, E. (1991). Observable contracts : Strategic delegation and cooperation. International Economic Review, 32, 551559.CrossRefGoogle Scholar
Fischbacher, U. (1999). z-Tree: Zurich tool box for ready made economic experiments—experimenter's manual. Working Paper, University of Zurich.Google Scholar
Güth, W. (1995). On ultimatum bargaining experiments: A personal review. Journal of Economic Behavior & Organization, 37, 329344.CrossRefGoogle Scholar
Güth, W., Müller, W., & Spiegel, Y. (2001). Noisy leadership: An experimental approach. Working Paper, Tel Aviv University.Google Scholar
Harsanyi, J. (1995). A new theory of equilibrium selection for games with complete information. Games and Economic Behavior, 8, 91122.CrossRefGoogle Scholar
Harsanyi, J. C., & Selten, R. (1988). A general theory of equilibrium selection in games. Cambridge, Mass. and London: MIT Press.Google Scholar
Huck, S., & Müller, W. (2000). Perfect versus imperfect observability: An experimental test of Bagwell's result. Games and Economic Behavior, 31, 174190.CrossRefGoogle Scholar
Kandori, M., Mailath, G. J., & Rob, R. (1993). Learning, mutation, and long run equilibria in games. Econometrica, 61, 2956.CrossRefGoogle Scholar
Laffont, J. J., & Tirole, J. (1993). A theory of incentives in procurement and regulation. Cambridge, MA: The MIT Press.Google Scholar
Morgan, J., & Vardy, F. (2004). An experimental study of commitment and observability in stackelberg games. Games and Economic Behavior, 49, 401423.CrossRefGoogle Scholar
Nash, J. (1950). The bargaining problem. Econometrica, 18, 155162.CrossRefGoogle Scholar
Rapoport, A. (1997). Order of play in strategically equivalent games in extensive form. International Journal of Game Theory, 26, 113136.CrossRefGoogle Scholar
Roth, A. E. (1995). Bargaining experiments. In Kagel, John H. and Roth, Alvin E. (Eds.), The handbook of experimental economics. Princeton University Press.Google Scholar
Rubinstein, A. (1989). The electronic mail game: Strategic behavior under ‘almost common knowledge’. American Economic Review, 79, 385391.Google Scholar
Straub, P. (1995). Risk dominance and coordination failures in static games. Quarterly Review of Economics and Finance, 35, 339363.CrossRefGoogle Scholar
Van Damme, E., & Hurkens, S. (1997). Games with imperfectly observable commitment. Games and Economic Behavior, 21, 282308.CrossRefGoogle Scholar
Van Huyck, J. B., Battalio, R. C., & Beil, R. O. (1990). Tacit coordination games, strategic uncertainty, and coordination failure. American Economic Review, 80, 234248.Google Scholar
Van Huyck, J. B., Battalio, R. C., & Beil, R. O. (1991). Strategic uncertainty, equilibrium selection, and coordination failure in average opinion games. Quarterly Journal of Economics, 106, 885911.CrossRefGoogle Scholar
Young, H. P (1993). The evolution of conventions. Econometrica, 61, 5784.CrossRefGoogle Scholar