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.
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- Mark Voorneveld, 2006.
"Probabilistic Choice in Games: Properties of Rosenthal’s t-Solutions,"
International Journal of Game Theory,
Springer, 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.
- Swinkels Jeroen M., 1993.
"Adjustment Dynamics and Rational Play in Games,"
Games and Economic Behavior,
Elsevier, vol. 5(3), pages 455-484, July.
- Jeroen M. Swinkels, 1991. "Adjustment Dynamics and Rational Play in Games," Discussion Papers 1001, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- J. Swinkels, 2010. "Adjustment Dynamics and Rational Play in Games," Levine's Working Paper Archive 456, David K. Levine.
- Friedman, Daniel, 1991. "Evolutionary Games in Economics," Econometrica, Econometric Society, vol. 59(3), pages 637-66, May.
- Ed Hopkins, 2001.
"Two Competing Models of How People Learn in Games,"
NajEcon Working Paper Reviews
- Sethi, Rajiv, 1998. "Strategy-Specific Barriers to Learning and Nonmonotonic Selection Dynamics," Games and Economic Behavior, Elsevier, vol. 23(2), pages 284-304, May.
- Mantel, Rolf R., 1974. "On the characterization of aggregate excess demand," Journal of Economic Theory, Elsevier, vol. 7(3), pages 348-353, March.
- 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.
- Nachbar, J H, 1990. ""Evolutionary" Selection Dynamics in Games: Convergence and Limit Properties," International Journal of Game Theory, Springer, vol. 19(1), pages 59-89.
- Ritzberger, Klaus & Weibull, Jörgen W., 1993.
"Evolutionary Selection in Normal Form Games,"
Working Paper Series
383, Research Institute of Industrial Economics.
- Sonnenschein, Hugo, 1972. "Market Excess Demand Functions," Econometrica, Econometric Society, vol. 40(3), pages 549-63, May.
- 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.
- Tsakas, Elias & Voorneveld, Mark, 2009.
"The target projection dynamic,"
Games and Economic Behavior,
Elsevier, vol. 67(2), pages 708-719, November.
- 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.
- Josef Hofbauer & William H. Sandholm, 2002. "On the Global Convergence of Stochastic Fictitious Play," Econometrica, Econometric Society, vol. 70(6), pages 2265-2294, November.
- Ed Hopkins, 1997.
"A Note on Best Response Dynamics,"
ESE Discussion Papers
3, Edinburgh School of Economics, University of Edinburgh.
- Debreu, Gerard, 1974. "Excess demand functions," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 15-21, March.
- Matsui, Akihiko, 1992. "Best response dynamics and socially stable strategies," Journal of Economic Theory, Elsevier, vol. 57(2), pages 343-362, August.
- 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.
- Reinoud Joosten, 1996. "Deterministic evolutionary dynamics: a unifying approach," Journal of Evolutionary Economics, Springer, vol. 6(3), pages 313-324.
- 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.
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