Fending off one Means Fending off all: Evolutionary Stability in Submodular Games (new title: Fending off one means fending off all: evolutionary stability in quasi-submodular aggregative games)
The implications of evolutionarily stable behavior in finite populations have recently been explored for a variety of aggregative games. This note proves an intimate relationship between submodularity and global evolutionary stability of strategies for these games, which -apart from being of independent interest - accounts for a number of results obtained in the recent literature: we show that any evolutionarily stable strategy (ESS) of a submodular aggregative game must also be globally stable. I.e. if one mutant cannot successfully invade a population, any number of mutants can even less do so.
|Date of creation:||2004|
|Date of revision:|
|Contact details of provider:|| Postal: Poschingerstrasse 5, 81679 Munich|
Phone: +49 (89) 9224-0
Fax: +49 (89) 985369
Web page: http://www.cesifo-group.de
More information through EDIRC
References listed on IDEAS
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.:
- Wolfgang Leininger, 2003. "On evolutionarily stable behavior in contests," Economics of Governance, Springer, vol. 4(3), pages 177-186, November.
- Fernando Vega-Redondo, 1997.
"The Evolution of Walrasian Behavior,"
Econometric Society, vol. 65(2), pages 375-384, March.
- Wolfgang Leininger, 2002. "Contests over Public Goods: Evolutionary Stability and the Free-Rider Problem," CESifo Working Paper Series 713, CESifo Group Munich.
- Burkhard Hehenkamp & Wolfgang Leininger & Alex Possajennikov, 2003.
"Evolutionary Equilibrium in Tullock Contests: Spite and Overdissipation,"
Discussion Papers in Economics
03_01, University of Dortmund, Department of Economics.
- Hehenkamp, B. & Leininger, W. & Possajennikov, A., 2004. "Evolutionary equilibrium in Tullock contests: spite and overdissipation," European Journal of Political Economy, Elsevier, vol. 20(4), pages 1045-1057, November.
- Alex Possajennikov, 2003.
"Evolutionary foundations of aggregate-taking behavior,"
Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(4), pages 921-928, 06.
- Alex Possajennikov, 2001. "Evolutionary Foundations of Aggregate-Taking Behavior," Discussion Papers in Economics 01_10, University of Dortmund, Department of Economics.
- Schenk-Hoppe, Klaus Reiner, 2000. "The evolution of Walrasian behavior in oligopolies," Journal of Mathematical Economics, Elsevier, vol. 33(1), pages 35-55, February.
- Schaffer, Mark E., 1989. "Are profit-maximisers the best survivors? : A Darwinian model of economic natural selection," Journal of Economic Behavior & Organization, Elsevier, vol. 12(1), pages 29-45, August.
- Corchon, Luis C., 1994. "Comparative statics for aggregative games the strong concavity case," Mathematical Social Sciences, Elsevier, vol. 28(3), pages 151-165, December.
- Carlos Alós-Ferrer & Ana Ania, 2005. "The evolutionary stability of perfectly competitive behavior," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(3), pages 497-516, October.
- Glenn Ellison, 2000. "Basins of Attraction, Long-Run Stochastic Stability, and the Speed of Step-by-Step Evolution," Review of Economic Studies, Oxford University Press, vol. 67(1), pages 17-45.
When requesting a correction, please mention this item's handle: RePEc:ces:ceswps:_1266. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Klaus Wohlrabe)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.