Leadership games with convex strategy sets
AbstractA basic model of commitment is to convert a two-player game in strategic form to a "leadership game" with the same payoffs, where one player, the leader, commits to a strategy, to which the second player always chooses a best reply. This paper studies such leadership games for games with convex strategy sets. We apply them to mixed extensions of finite games, which we analyze completely, including nongeneric games. The main result is that leadership is advantageous in the sense that, as a set, the leader's payoffs in equilibrium are at least as high as his Nash and correlated equilibrium payoffs in the simultaneous game. We also consider leadership games with three or more players, where most conclusions no longer hold.
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Bibliographic InfoArticle provided by Elsevier in its journal Games and Economic Behavior.
Volume (Year): 69 (2010)
Issue (Month): 2 (July)
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Web page: http://www.elsevier.com/locate/inca/622836
Commitment Correlated equilibrium First-mover advantage Follower Leader Stackelberg game;
Other versions of this item:
- von Stengel, Bernhard & Zamir, Shmuel, 2010. "Leadership games with convex strategy sets," Open Access publications from London School of Economics and Political Science http://eprints.lse.ac.uk/, London School of Economics and Political Science.
- Bernhard von Stengel & Shmuel Zamir, 2009. "Leadership Games with Convex Strategy Sets," Discussion Paper Series dp525, The Center for the Study of Rationality, Hebrew University, Jerusalem.
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.:
- Young, H. Peyton, 2004. "Strategic Learning and its Limits," OUP Catalogue, Oxford University Press, number 9780199269181.
- von Stengel, Bernhard & Koller, Daphne, 1997. "Team-Maxmin Equilibria," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 309-321, October.
- Avenhaus, Rudolf & Von Stengel, Bernhard & Zamir, Shmuel, 2002. "Inspection games," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 51, pages 1947-1987 Elsevier.
- Reny, Philip J. & Robson, Arthur J., 2004.
"Reinterpreting mixed strategy equilibria: a unification of the classical and Bayesian views,"
Games and Economic Behavior,
Elsevier, vol. 48(2), pages 355-384, August.
- Reny, Phil & Robson, Arthur, 2004. "Reinterpreting Mixed Strategy Equilibria: A Unification of the Classical and Bayesian Views," Micro Theory Working Papers robson-04-02-12-12-44-46, Microeconomics.ca Website, revised 12 Feb 2004.
- Aumann, Robert J., 1974.
"Subjectivity and correlation in randomized strategies,"
Journal of Mathematical Economics,
Elsevier, vol. 1(1), pages 67-96, March.
- R. Aumann, 2010. "Subjectivity and Correlation in Randomized Strategies," Levine's Working Paper Archive 389, David K. Levine.
- Amir, Rabah & Grilo, Isabel, 1999. "Stackelberg versus Cournot Equilibrium," Games and Economic Behavior, Elsevier, vol. 26(1), pages 1-21, January.
- Shapiro, Carl, 1989. "Theories of oligopoly behavior," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 1, chapter 6, pages 329-414 Elsevier.
- Hamilton, J.H. & Slutsky, S.M., 1988.
"Endogenous Timing In Duopoly Games: Stackelberg Or Cournot Equilibria,"
88-4, Florida - College of Business Administration.
- Hamilton, Jonathan H. & Slutsky, Steven M., 1990. "Endogenous timing in duopoly games: Stackelberg or cournot equilibria," Games and Economic Behavior, Elsevier, vol. 2(1), pages 29-46, March.
- Von Stengel, Bernhard, 2002. "Computing equilibria for two-person games," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 45, pages 1723-1759 Elsevier.
- Rubinstein, Ariel, 1982.
"Perfect Equilibrium in a Bargaining Model,"
Econometric Society, vol. 50(1), pages 97-109, January.
- Amir Rabah, 1995. "Endogenous Timing in Two-Player Games: A Counterexample," Games and Economic Behavior, Elsevier, vol. 9(2), pages 234-237, May.
- Marco Marini & Giorgio Rodano, 2012. "Sequential vs Collusive Payoffs in Symmetric Duopoly Games," DIAG Technical Reports 2012-06, Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza".
- Kuzmics, Christoph & Balkenborg, Dieter & Hofbauer, Josef, 2013.
"Refined best-response correspondence and dynamics,"
Econometric Society, vol. 8(1), January.
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