Vertex reinforced random walks with exponential interaction on complete graphs
Author
Abstract
Suggested Citation
DOI: 10.1016/j.spa.2022.03.007
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Crimaldi, Irene & Dai Pra, Paolo & Louis, Pierre-Yves & Minelli, Ida G., 2019. "Synchronization and functional central limit theorems for interacting reinforced random walks," Stochastic Processes and their Applications, Elsevier, vol. 129(1), pages 70-101.
- McKelvey Richard D. & Palfrey Thomas R., 1995.
"Quantal Response Equilibria for Normal Form Games,"
Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
- McKelvey, Richard D. & Palfrey, Thomas R., 1994. "Quantal Response Equilibria For Normal Form Games," Working Papers 883, California Institute of Technology, Division of the Humanities and Social Sciences.
- R. McKelvey & T. Palfrey, 2010. "Quantal Response Equilibria for Normal Form Games," Levine's Working Paper Archive 510, David K. Levine.
- Benaim, Michel & Hirsch, Morris W., 1999. "Mixed Equilibria and Dynamical Systems Arising from Fictitious Play in Perturbed Games," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 36-72, October.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Pires, Benito, 2024. "Lyapunov function for interacting reinforced stochastic processes via Hopfield’s energy function," Statistics & Probability Letters, Elsevier, vol. 205(C).
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Benaïm, Michel & Hofbauer, Josef & Hopkins, Ed, 2009.
"Learning in games with unstable equilibria,"
Journal of Economic Theory, Elsevier, vol. 144(4), pages 1694-1709, July.
- Ed Hopkins & Josef Hofbauer & Michel Benaim, 2005. "Learning in Games with Unstable Equilibria," Edinburgh School of Economics Discussion Paper Series 135, Edinburgh School of Economics, University of Edinburgh.
- Michel Benaim & Josef Hofbauer & Ed Hopkins, 2006. "Learning in Games with Unstable Equilibria," Levine's Bibliography 321307000000000547, UCLA Department of Economics.
- Michel Benaim & Josef Hofbauer & Ed Hopkins, 2005. "Learning in Games with Unstable Equilibria," Levine's Bibliography 784828000000000609, UCLA Department of Economics.
- Funai Naoki, 2014. "An Adaptive Learning Model with Foregone Payoff Information," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 14(1), pages 149-176, January.
- Naoki Funai, 2019. "Convergence results on stochastic adaptive learning," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(4), pages 907-934, November.
- Duffy, John & Hopkins, Ed, 2005.
"Learning, information, and sorting in market entry games: theory and evidence,"
Games and Economic Behavior, Elsevier, vol. 51(1), pages 31-62, April.
- John Duffy & Ed Hopkins, 2001. "Learning, Information and Sorting in Market Entry Games: Theory and Evidence," Edinburgh School of Economics Discussion Paper Series 78, Edinburgh School of Economics, University of Edinburgh.
- John Duffy & Ed Hopkins, 2010. "Learning, Information and Sorting in Market Entry Games: Theory and Evidence," Levine's Working Paper Archive 506439000000000355, David K. Levine.
- Hofbauer,J. & Sandholm,W.H., 2001.
"Evolution and learning in games with randomly disturbed payoffs,"
Working papers
5, Wisconsin Madison - Social Systems.
- Josef Hofbauer & William H. Sandholm, 2001. "Evolution and Learning in Games with Randomly Disturbed Payoffs," Vienna Economics Papers vie0205, University of Vienna, Department of Economics.
- Cason, Timothy N. & Friedman, Daniel & Hopkins, Ed, 2010.
"Testing the TASP: An experimental investigation of learning in games with unstable equilibria,"
Journal of Economic Theory, Elsevier, vol. 145(6), pages 2309-2331, November.
- Cason, Timothy N. & Friedman, Daniel & Hopkins, Ed H, 2009. "Testing the TASP: An Experimental Investigation of Learning in Games with Unstable Equilibria," Santa Cruz Department of Economics, Working Paper Series qt8kp6c049, Department of Economics, UC Santa Cruz.
- Timothy N. Cason & Daniel Friedman & Ed Hopkins, 2010. "Testing the TASP: An Experimental Investigation of Learning in Games with Unstable Equilibria," Purdue University Economics Working Papers 1233, Purdue University, Department of Economics.
- Cason, Timothy N. & Friedman, Daniel UC & Hopkins, Ed, 2009. "Testing the TASP: An Experimental Investigation of Learning in Games with Unstable Equilibria," SIRE Discussion Papers 2009-15, Scottish Institute for Research in Economics (SIRE).
- Timothy N. Cason & Daniel Friedman & Ed Hopkins, 2009. "Testing the TASP: An Experimental Investigation of Learning in Games with Unstable Equilibria," Edinburgh School of Economics Discussion Paper Series 188, Edinburgh School of Economics, University of Edinburgh.
- Ed Hopkins, 2002.
"Two Competing Models of How People Learn in Games,"
Econometrica, Econometric Society, vol. 70(6), pages 2141-2166, November.
- Ed Hopkins, 2000. "Two Competing Models of How People Learn in Games," Edinburgh School of Economics Discussion Paper Series 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.
- Ed Hopkins, 2001. "Two Competing Models of How People Learn in Games," Levine's Working Paper Archive 625018000000000226, David K. Levine.
- Jakub Bielawski & Thiparat Chotibut & Fryderyk Falniowski & Michal Misiurewicz & Georgios Piliouras, 2022. "Unpredictable dynamics in congestion games: memory loss can prevent chaos," Papers 2201.10992, arXiv.org, revised Jan 2022.
- N. Williams, 2002. "Stability and Long Run Equilibrium in Stochastic Fictitious Play," Princeton Economic Theory Working Papers cbeeeb49cc8afc83f125df5a8, David K. Levine.
- Pangallo, Marco & Sanders, James B.T. & Galla, Tobias & Farmer, J. Doyne, 2022.
"Towards a taxonomy of learning dynamics in 2 × 2 games,"
Games and Economic Behavior, Elsevier, vol. 132(C), pages 1-21.
- Marco Pangallo & James Sanders & Tobias Galla & Doyne Farmer, 2017. "Towards a taxonomy of learning dynamics in 2 x 2 games," Papers 1701.09043, arXiv.org, revised Sep 2021.
- Dridi, Slimane & Lehmann, Laurent, 2014. "On learning dynamics underlying the evolution of learning rules," Theoretical Population Biology, Elsevier, vol. 91(C), pages 20-36.
- Michel Benaïm & Josef Hofbauer & Sylvain Sorin, 2012. "Perturbations of Set-Valued Dynamical Systems, with Applications to Game Theory," Dynamic Games and Applications, Springer, vol. 2(2), pages 195-205, June.
- Jim Engle-Warnick & Ed Hopkins, 2006.
"A Simple Test of Learning Theory,"
Levine's Bibliography
321307000000000724, UCLA Department of Economics.
- Jim Engle-Warnick & Ed Hopkins, 2006. "A Simple Test of Learning Theory," Edinburgh School of Economics Discussion Paper Series 153, Edinburgh School of Economics, University of Edinburgh.
- Jim Engle-Warnick & Ed Hopkins, 2006. "A Simple Test of Learning Theory," CIRANO Working Papers 2006s-30, CIRANO.
- Ellison, Glenn & Fudenberg, Drew & Imhof, Lorens A., 2016. "Fast convergence in evolutionary models: A Lyapunov approach," Journal of Economic Theory, Elsevier, vol. 161(C), pages 1-36.
- Hofbauer, Josef & Hopkins, Ed, 2005.
"Learning in perturbed asymmetric games,"
Games and Economic Behavior, Elsevier, vol. 52(1), pages 133-152, July.
- Josef Hofbauer & Ed Hopkins, 2000. "Learning in Perturbed Asymmetric Games," Edinburgh School of Economics Discussion Paper Series 53, Edinburgh School of Economics, University of Edinburgh.
- Keyzer, Michiel & van Wesenbeeck, Lia, 2005. "Equilibrium selection in games: the mollifier method," Journal of Mathematical Economics, Elsevier, vol. 41(3), pages 285-301, April.
- Williams, Noah, 2022. "Learning and equilibrium transitions: Stochastic stability in discounted stochastic fictitious play," Journal of Economic Dynamics and Control, Elsevier, vol. 145(C).
- Semeshenko, Viktoriya & Gordon, Mirta B. & Nadal, Jean-Pierre, 2008. "Collective states in social systems with interacting learning agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(19), pages 4903-4916.
- Cominetti, Roberto & Melo, Emerson & Sorin, Sylvain, 2010. "A payoff-based learning procedure and its application to traffic games," Games and Economic Behavior, Elsevier, vol. 70(1), pages 71-83, September.
- Kraemer, Carlo & Noth, Markus & Weber, Martin, 2006.
"Information aggregation with costly information and random ordering: Experimental evidence,"
Journal of Economic Behavior & Organization, Elsevier, vol. 59(3), pages 423-432, March.
- Kraemer, Carlo & Nöth, Markus & Weber, Martin, 2000. "Information Aggregation with Costly Information and Random Ordering: Experimental Evidence," Sonderforschungsbereich 504 Publications 00-35, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
- Kraemer, Carlo & Nöth, Markus & Weber, Martin, 2000. "Information aggregation with costly information and random ordering : experimental evidence," Papers 00-35, Sonderforschungsbreich 504.
More about this item
Keywords
Reinforced random walk; Stochastic approximation; Stability;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:spapps:v:148:y:2022:i:c:p:353-379. See general information about how to correct material in RePEc.
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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/505572/description#description .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.