Best-response dynamics, playing sequences, and convergence to equilibrium in random games
Author
Abstract
Suggested Citation
DOI: 10.1007/s00182-023-00837-4
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
- Rinott, Yosef & Scarsini, Marco, 2000.
"On the Number of Pure Strategy Nash Equilibria in Random Games,"
Games and Economic Behavior, Elsevier, vol. 33(2), pages 274-293, November.
- Marco Scarsini & Yosef Rinott, 2000. "On the number of pure strategy Nash equilibria in random games," Post-Print hal-00540207, HAL.
- Samuel C. Wiese & Torsten Heinrich, 2022. "The Frequency of Convergent Games under Best-Response Dynamics," Dynamic Games and Applications, Springer, vol. 12(2), pages 689-700, June.
- Stanford, William, 1997. "On the distribution of pure strategy equilibria in finite games with vector payoffs," Mathematical Social Sciences, Elsevier, vol. 33(2), pages 115-127, April.
- Blume Lawrence E., 1993.
"The Statistical Mechanics of Strategic Interaction,"
Games and Economic Behavior, Elsevier, vol. 5(3), pages 387-424, July.
- L. Blume, 2010. "The Statistical Mechanics of Strategic Interaction," Levine's Working Paper Archive 488, David K. Levine.
- Vincent Boucher, 2017.
"Selecting Equilibria using Best-Response Dynamics,"
Economics Bulletin, AccessEcon, vol. 37(4), pages 2728-2734.
- Vincent Boucher, 2017. "Selecting Equilibria using Best-Response Dynamics," Cahiers de recherche 1709, Centre de recherche sur les risques, les enjeux économiques, et les politiques publiques.
- Pei, Ting & Takahashi, Satoru, 2019. "Rationalizable strategies in random games," Games and Economic Behavior, Elsevier, vol. 118(C), pages 110-125.
- Krzysztof Apt & Sunil Simon, 2015. "A classification of weakly acyclic games," Theory and Decision, Springer, vol. 78(4), pages 501-524, April.
- repec:ebl:ecbull:v:3:y:2002:i:22:p:1-6 is not listed on IDEAS
- Powers, Imelda Yeung, 1990. "Limiting Distributions of the Number of Pure Strategy Nash Equilibria in N-Person Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(3), pages 277-286.
- Noga Alon & Kirill Rudov & Leeat Yariv, 2021. "Dominance Solvability in Random Games," Papers 2105.10743, arXiv.org.
- Noga Alon & Kirill Rudov & Leeat Yariv, 2021. "Dominance Solvability in Random Games," Working Papers 2021-84, Princeton University. Economics Department..
- Babichenko, Yakov, 2013. "Best-reply dynamics in large binary-choice anonymous games," Games and Economic Behavior, Elsevier, vol. 81(C), pages 130-144.
- McLennan, Andrew & Berg, Johannes, 2005. "Asymptotic expected number of Nash equilibria of two-player normal form games," Games and Economic Behavior, Elsevier, vol. 51(2), pages 264-295, May.
- Andrew McLennan, 2005.
"The Expected Number of Nash Equilibria of a Normal Form Game,"
Econometrica, Econometric Society, vol. 73(1), pages 141-174, January.
- McLennan, A., 1999. "The Expected Number of Nash Equilibria of a Normal Form Game," Papers 306, Minnesota - Center for Economic Research.
- Arieli, Itai & Babichenko, Yakov, 2016. "Random extensive form games," Journal of Economic Theory, Elsevier, vol. 166(C), pages 517-535.
- Stanford, William, 1999. "On the number of pure strategy Nash equilibria in finite common payoffs games," Economics Letters, Elsevier, vol. 62(1), pages 29-34, January.
- William Stanford, 1996. "The Limit Distribution of Pure Strategy Nash Equilibria in Symmetric Bimatrix Games," Mathematics of Operations Research, INFORMS, vol. 21(3), pages 726-733, August.
- Friedman, James W. & Mezzetti, Claudio, 2001. "Learning in Games by Random Sampling," Journal of Economic Theory, Elsevier, vol. 98(1), pages 55-84, May.
- Takahashi, Satoru, 2008. "The number of pure Nash equilibria in a random game with nondecreasing best responses," Games and Economic Behavior, Elsevier, vol. 63(1), pages 328-340, May.
- Dindos, Martin & Mezzetti, Claudio, 2006. "Better-reply dynamics and global convergence to Nash equilibrium in aggregative games," Games and Economic Behavior, Elsevier, vol. 54(2), pages 261-292, February.
- Candogan, Ozan & Ozdaglar, Asuman & Parrilo, Pablo A., 2013. "Dynamics in near-potential games," Games and Economic Behavior, Elsevier, vol. 82(C), pages 66-90.
- Tetsuo Yamamori & Satoru Takahashi, 2002. "The pure Nash equilibrium property and the quasi-acyclic condition," Economics Bulletin, AccessEcon, vol. 3(22), pages 1-6.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Tom Johnston & Michael Savery & Alex Scott & Bassel Tarbush, 2023. "Game Connectivity and Adaptive Dynamics," Papers 2309.10609, arXiv.org, revised Oct 2024.
- Mimun, Hlafo Alfie & Quattropani, Matteo & Scarsini, Marco, 2024.
"Best-response dynamics in two-person random games with correlated payoffs,"
Games and Economic Behavior, Elsevier, vol. 145(C), pages 239-262.
- Hlafo Alfie Mimun & Matteo Quattropani & Marco Scarsini, 2022. "Best-Response dynamics in two-person random games with correlated payoffs," Papers 2209.12967, arXiv.org, revised Jan 2024.
- Andrea Collevecchio & Tuan-Minh Nguyen & Ziwen Zhong, 2024. "Finding pure Nash equilibria in large random games," Papers 2406.09732, arXiv.org, revised Aug 2024.
- Zi Wang & Xingcheng Xu & Yanqing Yang & Xiaodong Zhu, 2024.
"Optimal Trade and Industrial Policies in the Global Economy: A Deep Learning Framework,"
Papers
2407.17731, arXiv.org.
- Zi Wang & Xingcheng Xu & Yanqing Yang & Xiaodong Zhu, 2024. "Optimal Trade and Industrial Policies in the Global Economy: A Deep Learning Framework," Working Papers tecipa-781, University of Toronto, Department of Economics.
- Andrea Collevecchio & Hlafo Alfie Mimun & Matteo Quattropani & Marco Scarsini, 2024. "Basins of Attraction in Two-Player Random Ordinal Potential Games," Papers 2407.05460, arXiv.org, revised Feb 2025.
- zhao, guo & Chai, Yingming, 2024. "A Sufficient Condition for Weakly Acyclic games with Applications," MPRA Paper 120789, University Library of Munich, Germany.
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.- Pangallo, Marco & Heinrich, Torsten & Jang, Yoojin & Scott, Alex & Tarbush, Bassel & Wiese, Samuel & Mungo, Luca, 2021. "Best-Response Dynamics, Playing Sequences, And Convergence To Equilibrium In Random Games," INET Oxford Working Papers 2021-23, Institute for New Economic Thinking at the Oxford Martin School, University of Oxford.
- Torsten Heinrich & Yoojin Jang & Luca Mungo & Marco Pangallo & Alex Scott & Bassel Tarbush & Samuel Wiese, 2021.
"Best-response dynamics, playing sequences, and convergence to equilibrium in random games,"
Papers
2101.04222, arXiv.org, revised Nov 2022.
- Pangallo, Marco & Heinrich, Torsten & Jang, Yoojin & Scott, Alex & Tarbush, Bassel & Wiese, Samuel & Mungo, Luca, 2021. "Best-Response Dynamics, Playing Sequences, And Convergence To Equilibrium In Random Games," INET Oxford Working Papers 2021-02, Institute for New Economic Thinking at the Oxford Martin School, University of Oxford.
- Tom Johnston & Michael Savery & Alex Scott & Bassel Tarbush, 2023. "Game Connectivity and Adaptive Dynamics," Papers 2309.10609, arXiv.org, revised Oct 2024.
- Mimun, Hlafo Alfie & Quattropani, Matteo & Scarsini, Marco, 2024.
"Best-response dynamics in two-person random games with correlated payoffs,"
Games and Economic Behavior, Elsevier, vol. 145(C), pages 239-262.
- Hlafo Alfie Mimun & Matteo Quattropani & Marco Scarsini, 2022. "Best-Response dynamics in two-person random games with correlated payoffs," Papers 2209.12967, arXiv.org, revised Jan 2024.
- Takahashi, Satoru, 2008. "The number of pure Nash equilibria in a random game with nondecreasing best responses," Games and Economic Behavior, Elsevier, vol. 63(1), pages 328-340, May.
- Pei, Ting & Takahashi, Satoru, 2019. "Rationalizable strategies in random games," Games and Economic Behavior, Elsevier, vol. 118(C), pages 110-125.
- Ben Amiet & Andrea Collevecchio & Marco Scarsini & Ziwen Zhong, 2021.
"Pure Nash Equilibria and Best-Response Dynamics in Random Games,"
Mathematics of Operations Research, INFORMS, vol. 46(4), pages 1552-1572, November.
- Ben Amiet & Andrea Collevecchio & Marco Scarsini & Ziwen Zhong, 2019. "Pure Nash Equilibria and Best-Response Dynamics in Random Games," Papers 1905.10758, arXiv.org, revised Jun 2020.
- Arieli, Itai & Babichenko, Yakov, 2016. "Random extensive form games," Journal of Economic Theory, Elsevier, vol. 166(C), pages 517-535.
- Samuel C. Wiese & Torsten Heinrich, 2022. "The Frequency of Convergent Games under Best-Response Dynamics," Dynamic Games and Applications, Springer, vol. 12(2), pages 689-700, June.
- Andrea Collevecchio & Tuan-Minh Nguyen & Ziwen Zhong, 2024. "Finding pure Nash equilibria in large random games," Papers 2406.09732, arXiv.org, revised Aug 2024.
- Klaus Kultti & Hannu Salonen & Hannu Vartiainen, 2011. "Distribution of pure Nash equilibria in n-person games with random best replies," Discussion Papers 71, Aboa Centre for Economics.
- Ben Amiet & Andrea Collevecchio & Kais Hamza, 2020. "When "Better" is better than "Best"," Papers 2011.00239, arXiv.org.
- Andrea Collevecchio & Hlafo Alfie Mimun & Matteo Quattropani & Marco Scarsini, 2024. "Basins of Attraction in Two-Player Random Ordinal Potential Games," Papers 2407.05460, arXiv.org, revised Feb 2025.
- Rinott, Yosef & Scarsini, Marco, 2000.
"On the Number of Pure Strategy Nash Equilibria in Random Games,"
Games and Economic Behavior, Elsevier, vol. 33(2), pages 274-293, November.
- Marco Scarsini & Yosef Rinott, 2000. "On the number of pure strategy Nash equilibria in random games," Post-Print hal-00540207, HAL.
- Szabó, György & Borsos, István & Szombati, Edit, 2019. "Games, graphs and Kirchhoff laws," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 416-423.
- Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
- Sung-Ha Hwang & Jonathan Newton, 2017.
"Payoff-dependent dynamics and coordination games,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(3), pages 589-604, October.
- Hwang, Sung-Ha & Newton, Jonathan, 2016. "Payoff Dependent Dynamics and Coordination Games," Working Papers 2016-12, University of Sydney, School of Economics.
- Carlos Alós-Ferrer & Nick Netzer, 2015.
"Robust stochastic stability,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(1), pages 31-57, January.
- Carlos Alós–Ferrer & Nick Netzer, 2012. "Robust stochastic stability," ECON - Working Papers 063, Department of Economics - University of Zurich, revised Jan 2014.
- Stanford, William, 2010. "The number of pure strategy Nash equilibria in random multi-team games," Economics Letters, Elsevier, vol. 108(3), pages 352-354, September.
- Noga Alon & Kirill Rudov & Leeat Yariv, 2021. "Dominance Solvability in Random Games," Working Papers 2021-84, Princeton University. Economics Department..
More about this item
Keywords
Best-response dynamics; Equilibrium convergence; Random games;All these keywords.
JEL classification:
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
- D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
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:spr:jogath:v:52:y:2023:i:3:d:10.1007_s00182-023-00837-4. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.