Generalized projection dynamics in evolutionary game theory
We introduce a new kind of projection dynamics by employing a ray-projection both locally and globally. By global (local) we mean a projection of a vector (close to the unit simplex) unto the unit simplex along a ray through the origin. Using a correspondence between local and global ray-projection dynamics we prove that every interior evolutionarily stable strategy is an asymptotically stable fixed point. We also show that every strict equilibrium is an evolutionarily stable state and an evolutionarily stable equilibrium. Then, we employ several projections on a wider set of functions derived from the payoff structure. This yields an interesting class of so-called generalized projection dynamics which contains best-response, logit, replicator, and Brown-Von-Neumann dynamics among others.
To our knowledge, this item is not available for
download. To find whether it is available, there are three
1. Check below under "Related research" whether another version of this item is available online.
2. Check on the provider's web page whether it is in fact available.
3. Perform a search for a similarly titled item that would be available.
|Date of creation:||Oct 2008|
|Date of revision:|
|Contact details of provider:|| Postal: Deutschhausstrasse 10, 35032 Marburg|
Web page: http://www.uni-marburg.de/fb19/
More information through EDIRC
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.:
- Mantel, Rolf R., 1974. "On the characterization of aggregate excess demand," Journal of Economic Theory, Elsevier, vol. 7(3), pages 348-353, March.
- Reinoud Joosten, 1996. "Deterministic evolutionary dynamics: a unifying approach," Journal of Evolutionary Economics, Springer, vol. 6(3), pages 313-324.
- Mark Voorneveld, 2006.
"Probabilistic Choice in Games: Properties of Rosenthal’s t-Solutions,"
International Journal of Game Theory,
Springer;Game Theory Society, vol. 34(1), pages 105-121, April.
- Voorneveld, Mark, 2003. "Probabilistic choice in games: properties of Rosenthal's t-solutions," SSE/EFI Working Paper Series in Economics and Finance 542, Stockholm School of Economics, revised 31 Oct 2003.
- Cabrales, Antonio & Sobel, Joel, 1992.
"On the limit points of discrete selection dynamics,"
Journal of Economic Theory,
Elsevier, vol. 57(2), pages 407-419, August.
- Antonio Cabrales & Joel Sobel, 2010. "On the Limit Points of Discrete Selection Dynamics," Levine's Working Paper Archive 432, David K. Levine.
- Lahkar, Ratul & Sandholm, William H., 2008. "The projection dynamic and the geometry of population games," Games and Economic Behavior, Elsevier, vol. 64(2), pages 565-590, November.
- Nachbar, J H, 1990. ""Evolutionary" Selection Dynamics in Games: Convergence and Limit Properties," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(1), pages 59-89.
- Ed Hopkins, 2002.
"Two Competing Models of How People Learn in Games,"
Econometric Society, vol. 70(6), pages 2141-2166, November.
- Ed Hopkins, 2001. "Two Competing Models of How People Learn in Games," Levine's Working Paper Archive 625018000000000226, David K. Levine.
- Ed Hopkins, 2000. "Two Competing Models of How People Learn in Games," ESE Discussion Papers 51, Edinburgh School of Economics, University of Edinburgh.
- Ed Hopkins, 2001. "Two Competing Models of How People Learn in Games," NajEcon Working Paper Reviews 625018000000000226, www.najecon.org.
- Ritzberger, Klaus & Weibull, Jörgen W., 1993.
"Evolutionary Selection in Normal Form Games,"
Working Paper Series
383, Research Institute of Industrial Economics.
- Matsui, Akihiko, 1992. "Best response dynamics and socially stable strategies," Journal of Economic Theory, Elsevier, vol. 57(2), pages 343-362, August.
- Josef Hofbauer & William H. Sandholm, 2002. "On the Global Convergence of Stochastic Fictitious Play," Econometrica, Econometric Society, vol. 70(6), pages 2265-2294, November.
- Jeroen M. Swinkels, 1991.
"Adjustment Dynamics and Rational Play in Games,"
1001, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Friedman, Daniel, 1991. "Evolutionary Games in Economics," Econometrica, Econometric Society, vol. 59(3), pages 637-66, May.
- J. Hofbauer & P. Schuster & K. Sigmund, 2010. "A Note on Evolutionary Stable Strategies and Game Dynamics," Levine's Working Paper Archive 441, David K. Levine.
- Sonnenschein, Hugo, 1972. "Market Excess Demand Functions," Econometrica, Econometric Society, vol. 40(3), pages 549-63, May.
- Tsakas, Elias & Voorneveld, Mark, 2007.
"The target projection dynamic,"
SSE/EFI Working Paper Series in Economics and Finance
670, Stockholm School of Economics, revised 13 Aug 2007.
- Debreu, Gerard, 1974. "Excess demand functions," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 15-21, March.
- Hopkins, Ed, 1999.
"A Note on Best Response Dynamics,"
Games and Economic Behavior,
Elsevier, vol. 29(1-2), pages 138-150, October.
- Sandholm, William H., 2005. "Excess payoff dynamics and other well-behaved evolutionary dynamics," Journal of Economic Theory, Elsevier, vol. 124(2), pages 149-170, October.
- Sethi, Rajiv, 1998. "Strategy-Specific Barriers to Learning and Nonmonotonic Selection Dynamics," Games and Economic Behavior, Elsevier, vol. 23(2), pages 284-304, May.
- Mattsson, Lars-Goran & Weibull, Jorgen W., 2002. "Probabilistic choice and procedurally bounded rationality," Games and Economic Behavior, Elsevier, vol. 41(1), pages 61-78, October.
When requesting a correction, please mention this item's handle: RePEc:esi:evopap:2008-11. 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: (Christoph Mengs)
If references are entirely missing, you can add them using this form.