Loss of Commitment? An Evolutionary Analysis of Bagwell's Example
In a recent paper Bagwell (1995) pointed out that only the Cournot outcome, but not the Stackelberg outcome, can be supported by a pure Nash equilibrium when actions of the Stackelberg leader are observed with the slightest error. The Stackelberg outcome, however, remains close to the outcome of a mixed equilibrium. We compare the predictions in various classes of evolutionary and learning processes in this game. Only the continuous best response dynamic uniquely selects the Stackelberg outcome under noise. All other dynamics analyzed allow for the Cournot equilibrium to be selected. In typical cases Cournot is the unique long run outcome even for vanishing noise in the signal.
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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Noldeke Georg & Samuelson Larry, 1993.
"An Evolutionary Analysis of Backward and Forward Induction,"
Games and Economic Behavior,
Elsevier, vol. 5(3), pages 425-454, July.
- G. Noldeke & L. Samuelson, 2010. "An Evolutionary Analysis of Backward and Forward Induction," Levine's Working Paper Archive 538, David K. Levine.
- Noeldecke,Georg & Samuelson,Larry, "undated". "An evolutionary analysis of backward and forward induction," Discussion Paper Serie B 228, University of Bonn, Germany.
- van Damme, E.E.C. & Hurkens, J.P.M., 1994.
"Games with imperfectly observable commitment,"
1994-64, Tilburg University, Center for Economic Research.
- Friedman, Daniel, 1991. "Evolutionary Games in Economics," Econometrica, Econometric Society, vol. 59(3), pages 637-666, May.
- Kyle Bagwell, 1992.
"Commitment and Observability in Games,"
1014, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Samuelson, Larry & Zhang, Jianbo, 1992. "Evolutionary stability in asymmetric games," Journal of Economic Theory, Elsevier, vol. 57(2), pages 363-391, August.
- Matsui, Akihiko, 1992. "Best response dynamics and socially stable strategies," Journal of Economic Theory, Elsevier, vol. 57(2), pages 343-362, August.
- Georg Kirchsteiger & Werner Güth & Klaus Ritzberger, 1998.
"Imperfectly observable commitments in n-player games,"
ULB Institutional Repository
2013/5907, ULB -- Universite Libre de Bruxelles.
- Guth, Werner & Kirchsteiger, Georg & Ritzberger, Klaus, 1998. "Imperfectly Observable Commitments inn-Player Games," Games and Economic Behavior, Elsevier, vol. 23(1), pages 54-74, April.
- Werner GÜTH & Georg KIRCHSTEIGER & Klaus RITZBERGER, 1995. "Imperfectly Observable Commitments in n-Player Games," Vienna Economics Papers vie9507, University of Vienna, Department of Economics.
- Gueth, Werner & Kirchsteiger, Georg & Ritzberger, Klaus, 1996. "Imperfectly Observable Commitments in n-Player Games," Economics Series 35, Institute for Advanced Studies.
- R. Cressman & K.H. Schlag, "undated".
"The Dynamic (In)Stability of Backwards Induction,"
ELSE working papers
027, ESRC Centre on Economics Learning and Social Evolution.
- Gale, John & Binmore, Kenneth G. & Samuelson, Larry, 1995. "Learning to be imperfect: The ultimatum game," Games and Economic Behavior, Elsevier, vol. 8(1), pages 56-90.
- L. Samuelson & J. Zhang, 2010. "Evolutionary Stability in Asymmetric Games," Levine's Working Paper Archive 453, David K. Levine.
- Oechssler, Jorg, 1997.
"An Evolutionary Interpretation of Mixed-Strategy Equilibria,"
Games and Economic Behavior,
Elsevier, vol. 21(1-2), pages 203-237, October.
- Joerg Oechssler, 1994. "An Evolutionary Interpretation Of Mixed-Strategy Equilibria," Game Theory and Information 9404001, EconWPA.
- B. Adolph, 1996. "Commitment, Trembling Hand Imperfection and Observability in Games," SFB 373 Discussion Papers 1996,84, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, December.
- Dan Friedman, 2010. "Evolutionary Games in Economics," Levine's Working Paper Archive 392, David K. Levine.
- Karl H. Schlag, "undated".
"Why Imitate, and if so, How? A Bounded Rational Approach to Multi- Armed Bandits,"
ELSE working papers
028, ESRC Centre on Economics Learning and Social Evolution.
- Schlag, Karl H., 1998. "Why Imitate, and If So, How?, : A Boundedly Rational Approach to Multi-armed Bandits," Journal of Economic Theory, Elsevier, vol. 78(1), pages 130-156, January.
- Karl H. Schlag, 1995. "Why Imitate, and if so, How? A Bounded Rational Approach to Multi-Armed Bandits," Discussion Paper Serie B 361, University of Bonn, Germany, revised Mar 1996.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- P. Young, 1999. "The Evolution of Conventions," Levine's Working Paper Archive 485, David K. Levine.
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