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Mixed Equilibria and Dynamical Systems Arising from Fictitious Play in Perturbed Games
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Cited by:
- Block, Juan I. & Fudenberg, Drew & Levine, David K., 2019. "Learning dynamics with social comparisons and limited memory," Theoretical Economics, Econometric Society, vol. 14(1), January.
- Hopkins, Ed, 1999.
"A Note on Best Response Dynamics,"
Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 138-150, October.
- Ed Hopkins, 1997. "A Note on Best Response Dynamics," Edinburgh School of Economics Discussion Paper Series 3, Edinburgh School of Economics, University of Edinburgh.
- Mengel, Friederike, 2012.
"Learning across games,"
Games and Economic Behavior, Elsevier, vol. 74(2), pages 601-619.
- Friederike Mengel, 2007. "Learning Across Games," Working Papers. Serie AD 2007-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- 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.
- Ianni, A., 2002. "Reinforcement learning and the power law of practice: some analytical results," Discussion Paper Series In Economics And Econometrics 203, Economics Division, School of Social Sciences, University of Southampton.
- 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.
- Prado, Fernando P.A. & Coletti, Cristian F. & Rosales, Rafael A., 2023. "Two repelling random walks on Z," Stochastic Processes and their Applications, Elsevier, vol. 160(C), pages 72-88.
- Mario Bravo & Mathieu Faure, 2013.
"Reinforcement Learning with Restrictions on the Action Set,"
AMSE Working Papers
1335, Aix-Marseille School of Economics, France, revised 01 Jul 2013.
- Mario Bravo & Mathieu Faure, 2015. "Reinforcement Learning with Restrictions on the Action Set," Post-Print hal-01457301, HAL.
- Esponda, Ignacio & Pouzo, Demian & Yamamoto, Yuichi, 2021. "Asymptotic behavior of Bayesian learners with misspecified models," Journal of Economic Theory, Elsevier, vol. 195(C).
- 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.
- Williams, Noah, 2022. "Learning and equilibrium transitions: Stochastic stability in discounted stochastic fictitious play," Journal of Economic Dynamics and Control, Elsevier, vol. 145(C).
- Federico Echenique & Aaron Edlin, 2001.
"Mixed Equilibria in Games of Strategic Complements are Unstable,"
Levine's Working Paper Archive
563824000000000161, David K. Levine.
- Echenique, Federico & Edlin, Aaron S., 2002. "Mixed Equilibria in Games of Strategic Complements Are Unstable," Department of Economics, Working Paper Series qt26r9r912, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Echenique, Federico & Edlin, Aaron, 2002. "Mixed Equilibria in Games of Strategic Complements Are Unstable," Department of Economics, Working Paper Series qt1gr638d8, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Federico Echenique & Aaron Edlin, 2003. "Mixed Equilibria in Games of Strategic Complements Are Unstable," Game Theory and Information 0303003, University Library of Munich, Germany.
- Echenique, Federico & Edlin, Aaron S., 2002. "Mixed Equilibria in Games of Strategic Complements Are Unstable," Competition Policy Center, Working Paper Series qt2b85c93d, Competition Policy Center, Institute for Business and Economic Research, UC Berkeley.
- Chernov, G. & Susin, I., 2019. "Models of learning in games: An overview," Journal of the New Economic Association, New Economic Association, vol. 44(4), pages 77-125.
- Bichler, Martin & Kohring, Nils & Oberlechner, Matthias & Pieroth, Fabian R., 2023. "Learning equilibrium in bilateral bargaining games," European Journal of Operational Research, Elsevier, vol. 311(2), pages 660-678.
- Sandholm,W.H., 1999. "Markov evolution with inexact information," Working papers 15, Wisconsin Madison - Social Systems.
- Federico Echenique, 2003.
"Mixed equilibria in games of strategic complementarities,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(1), pages 33-44, August.
- Federico Echenique, 2000. "Mixed Equilibria in Games of Strategic Complementarities," Game Theory and Information 0004006, University Library of Munich, Germany.
- Federico Echenique, 2000. "Mixed Equilibria in Games of Strategic Complementarities," Documentos de Trabajo (working papers) 1400, Department of Economics - dECON.
- Dai, Darong, 2012. "Learning Nash Equilibria," MPRA Paper 40040, University Library of Munich, Germany.
- Beggs Alan, 2009.
"Learning in Bayesian Games with Binary Actions,"
The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-30, September.
- Alan Beggs, 2005. "Learning in Bayesian Games with Binary Actions," Economics Series Working Papers 232, University of Oxford, Department of Economics.
- Fudenberg, Drew & Takahashi, Satoru, 2011.
"Heterogeneous beliefs and local information in stochastic fictitious play,"
Games and Economic Behavior, Elsevier, vol. 71(1), pages 100-120, January.
- Drew Fudenberg & Satoru Takahashi, 2008. "Heterogeneous Beliefs and Local Information in Stochastic Fictitious Play," Levine's Working Paper Archive 122247000000001695, David K. Levine.
- Takahashi, Satoru & Fudenberg, Drew, 2011. "Heterogeneous beliefs and local information in stochastic fictitious play," Scholarly Articles 27755310, Harvard University Department of Economics.
- Ditlevsen, Susanne & Löcherbach, Eva, 2017. "Multi-class oscillating systems of interacting neurons," Stochastic Processes and their Applications, Elsevier, vol. 127(6), pages 1840-1869.
- Fudenberg, Drew & Imhof, Lorens A., 2008.
"Monotone imitation dynamics in large populations,"
Journal of Economic Theory, Elsevier, vol. 140(1), pages 229-245, May.
- Imhof, Lorens & Fudenberg, Drew, 2008. "Monotone Imitation Dynamics in Large Populations," Scholarly Articles 3196338, Harvard University Department of Economics.
- Demichelis, Stefano & Germano, Fabrizio, 2002.
"On (un)knots and dynamics in games,"
Games and Economic Behavior, Elsevier, vol. 41(1), pages 46-60, October.
- DE MICHELIS, Stefano & GERMANO, Fabrizio, 2000. "On knots and dynamics in games," LIDAM Discussion Papers CORE 2000010, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- DeMichelis, S. & Germano, F., 2000. "On Knots and Dynamics in Games," Papers 2-2000, Tel Aviv.
- Ratul, Lahkar, 2011. "The dynamic instability of dispersed price equilibria," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1796-1827, September.
- 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," CIRANO Working Papers 2006s-30, CIRANO.
- 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.
- 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.
- 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.
- Ellison, Glenn & Fudenberg, Drew, 2000.
"Learning Purified Mixed Equilibria,"
Journal of Economic Theory, Elsevier, vol. 90(1), pages 84-115, January.
- Glenn Ellison & Drew Fudenberg, 1998. "Learning Purified Mixed Equilibria," Harvard Institute of Economic Research Working Papers 1817, Harvard - Institute of Economic Research.
- Drew Fudenberg & David K Levine, 2006.
"An Economists Perspective on Multi-Agent Learning,"
Levine's Working Paper Archive
784828000000000683, David K. Levine.
- Fudenberg, Drew & Levine, David, 2007. "An Economist's Perspective on Multi-Agent Learning," Scholarly Articles 3200613, Harvard University Department of Economics.
- 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.
- 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.
- Ulrich Berger, 2004. "Two More Classes of Games with the Fictitious Play Property," Game Theory and Information 0408003, University Library of Munich, Germany.
- Juan I Block & Drew Fudenberg & David K Levine, 2017. "Learning Dynamics Based on Social Comparisons," Levine's Working Paper Archive 786969000000001375, David K. Levine.
- DeMichelis, Stefano & Germano, Fabrizio, 2000.
"On the Indices of Zeros of Nash Fields,"
Journal of Economic Theory, Elsevier, vol. 94(2), pages 192-217, October.
- DE MICHELIS, Stefano & GERMANO, Fabrizio, 2000. "On the indices of zeros of nash fields," LIDAM Discussion Papers CORE 2000017, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- DEMICHELIS, Stefano & GERMANO, Fabrizio, 2000. "On the indices of zeros of Nash fields," LIDAM Reprints CORE 1531, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Michel Benaïm & Josef Hofbauer & Sylvain Sorin, 2005. "Stochastic Approximations and Differential Inclusions; Part II: Applications," Working Papers hal-00242974, HAL.
- Rosales, Rafael A. & Prado, Fernando P.A. & Pires, Benito, 2022. "Vertex reinforced random walks with exponential interaction on complete graphs," Stochastic Processes and their Applications, Elsevier, vol. 148(C), pages 353-379.
- Leslie, David S. & Collins, E.J., 2006. "Generalised weakened fictitious play," Games and Economic Behavior, Elsevier, vol. 56(2), pages 285-298, August.
- Dai, Darong, 2012. "On the Existence and Stability of Pareto Optimal Endogenous Matching with Fairness," MPRA Paper 40560, University Library of Munich, Germany.
- 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.
- 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.
- 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.
- Hoffmann, Eric, 2016. "On the learning and stability of mixed strategy Nash equilibria in games of strategic substitutes," Journal of Economic Behavior & Organization, Elsevier, vol. 130(C), pages 349-362.
- Drew Fudenberg & Giacomo Lanzani & Philipp Strack, 2021. "Limit Points of Endogenous Misspecified Learning," Econometrica, Econometric Society, vol. 89(3), pages 1065-1098, May.
- Michel Benaïm & Josef Hofbauer & Sylvain Sorin, 2006.
"Stochastic Approximations and Differential Inclusions, Part II: Applications,"
Mathematics of Operations Research, INFORMS, vol. 31(4), pages 673-695, November.
- Michel Benaïm & Josef Hofbauer & Sylvain Sorin, 2005. "Stochastic Approximations and Differential Inclusions; Part II: Applications," Working Papers hal-00242974, HAL.
- Beggs, A.W., 2005.
"On the convergence of reinforcement learning,"
Journal of Economic Theory, Elsevier, vol. 122(1), pages 1-36, May.
- Alan Beggs, 2002. "On the Convergence of Reinforcement Learning," Economics Series Working Papers 96, University of Oxford, Department of Economics.
- Ignacio Esponda & Demian Pouzo, 2014. "Berk-Nash Equilibrium: A Framework for Modeling Agents with Misspecified Models," Papers 1411.1152, arXiv.org, revised Nov 2019.
- 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.
- 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.
- Echenique, Federico & Edlin, Aaron, 2004.
"Mixed equilibria are unstable in games of strategic complements,"
Journal of Economic Theory, Elsevier, vol. 118(1), pages 61-79, September.
- Echenique, Federico & Edlin, Aaron S., 2004. "Mixed equilibria are unstable in games of strategic complements," Berkeley Olin Program in Law & Economics, Working Paper Series qt1ht651hk, Berkeley Olin Program in Law & Economics.
- Dridi, Slimane & Lehmann, Laurent, 2014. "On learning dynamics underlying the evolution of learning rules," Theoretical Population Biology, Elsevier, vol. 91(C), pages 20-36.
- Alan Beggs, 2015. "Learning in Monotone Bayesian Games," Economics Series Working Papers 737, University of Oxford, Department of Economics.
- Ignacio Esponda & Demian Pouzo & Yuichi Yamamoto, 2019. "Asymptotic Behavior of Bayesian Learners with Misspecified Models," Papers 1904.08551, arXiv.org, revised Oct 2019.
- Manxi Wu & Saurabh Amin & Asuman Ozdaglar, 2021. "Multi-agent Bayesian Learning with Best Response Dynamics: Convergence and Stability," Papers 2109.00719, arXiv.org.
- 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.
- Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
- 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.
- Zenou, Yves & Bochet, Olivier & Faure, Mathieu & Long, Yan, 2020. "Perceived Competition in Networks," CEPR Discussion Papers 15582, C.E.P.R. Discussion Papers.
- Perkins, S. & Leslie, D.S., 2014. "Stochastic fictitious play with continuous action sets," Journal of Economic Theory, Elsevier, vol. 152(C), pages 179-213.
- Martin Bichler & Nils Kohring & Stefan Heidekrüger, 2023. "Learning Equilibria in Asymmetric Auction Games," INFORMS Journal on Computing, INFORMS, vol. 35(3), pages 523-542, May.
- Lahkar, Ratul & Mukherjee, Sayan & Roy, Souvik, 2022. "Generalized perturbed best response dynamics with a continuum of strategies," Journal of Economic Theory, Elsevier, vol. 200(C).
- Alexander Aurell & Gustav Karreskog, 2020. "Stochastic Stability of a Recency Weighted Sampling Dynamic," Papers 2009.12910, arXiv.org, revised Jun 2021.
- E. Löcherbach, 2019. "Large Deviations for Cascades of Diffusions Arising in Oscillating Systems of Interacting Hawkes Processes," Journal of Theoretical Probability, Springer, vol. 32(1), pages 131-162, March.
- Bochet, Olivier & Faure, Mathieu & Long, Yan & Zenou, Yves, 2020.
"Perceived Competition in Networks,"
CEPR Discussion Papers
15582, C.E.P.R. Discussion Papers.
- Olivier Bochet & Mathieu Faure & Yan Long & Yves Zenou, 2021. "Perceived Competition in Networks," Working Papers 20210069, New York University Abu Dhabi, Department of Social Science, revised Sep 2021.
- Michel Benaim & Mathieu Faure, 2010. "Stochastic Approximation, Cooperative Dynamics and Supermodular Games," Levine's Working Paper Archive 814577000000000437, David K. Levine.
- Michel Benaïm & Josef Hofbauer & Sylvain Sorin, 2003. "Stochastic Approximations and Differential Inclusions," Working Papers hal-00242990, HAL.
- RatulLahkar & Sayan Mukherjee & Souvik Roy, 2021. "Generalized Perturbed Best Response Dynamics with a Continuum of Strategies," Working Papers 51, Ashoka University, Department of Economics.
- Michel Benaïm & Mathieu Faure, 2013.
"Consistency of Vanishingly Smooth Fictitious Play,"
Mathematics of Operations Research, INFORMS, vol. 38(3), pages 437-450, August.
- Michel Benaïm & Mathieu Faure, 2013. "Consistency of Vanishingly Smooth Fictitious Play," Post-Print hal-01498243, HAL.