Asymptotic behavior of subgame perfect Nash equilibria in Stackelberg games
Author
Abstract
Suggested Citation
DOI: 10.1007/s10479-023-05422-2
Download full text from publisher
As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.
Other versions of this item:
- Francesco Caruso & Maria Carmela Ceparano & Jacqueline Morgan, 2022. "Asymptotic Behavior of Subgame Perfect Nash Equilibria in Stackelberg Games," CSEF Working Papers 661, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
References listed on IDEAS
- Guilherme Carmona, 2005.
"On Games Of Perfect Information: Equilibria, Ε–Equilibria And Approximation By Simple Games,"
International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 491-499.
- Guilherme Carmona, 2003. "On games of perfect information: equilibria, e-equilibria and approximation by simple games," Nova SBE Working Paper Series wp427, Universidade Nova de Lisboa, Nova School of Business and Economics.
- John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, December.
- Francesco Caruso & M. Beatrice Lignola & Jacqueline Morgan, 2020.
"Regularization and Approximation Methods in Stackelberg Games and Bilevel Optimization,"
Springer Optimization and Its Applications, in: Stephan Dempe & Alain Zemkoho (ed.), Bilevel Optimization, chapter 0, pages 77-138,
Springer.
- Francesco Caruso & M. Beatrice Lignola & Jacqueline Morgan, 2019. "Regularization and Approximation Methods in Stackelberg Games and Bilevel Optimization," CSEF Working Papers 541, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy, revised 18 Sep 2020.
- Francesco Caruso & Maria Carmela Ceparano & Jacqueline Morgan, 2019.
"Subgame Perfect Nash Equilibrium: A Learning Approach via Costs to Move,"
Dynamic Games and Applications, Springer, vol. 9(2), pages 416-432, June.
- Francesco Caruso & Maria Carmela Ceparano & Jacqueline Morgan, 2017. "Subgame Perfect Nash Equilibrium: A Learning Approach Via Costs to Move," CSEF Working Papers 476, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy, revised 20 Jul 2018.
- M. B. Lignola & J. Morgan, 1997. "Stability of Regularized Bilevel Programming Problems," Journal of Optimization Theory and Applications, Springer, vol. 93(3), pages 575-596, June.
- Kohlberg, Elon & Mertens, Jean-Francois, 1986.
"On the Strategic Stability of Equilibria,"
Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
- KOHLBERG, Elon & MERTENS, Jean-François, 1986. "On the strategic stability of equilibria," LIDAM Reprints CORE 716, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- E. Kohlberg & J.-F. Mertens, 1998. "On the Strategic Stability of Equilibria," Levine's Working Paper Archive 445, David K. Levine.
- Drew Fudenberg & David Levine, 2008.
"Subgame–Perfect Equilibria of Finite– and Infinite–Horizon Games,"
World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 1, pages 3-20,
World Scientific Publishing Co. Pte. Ltd..
- Fudenberg, Drew & Levine, David, 1983. "Subgame-perfect equilibria of finite- and infinite-horizon games," Journal of Economic Theory, Elsevier, vol. 31(2), pages 251-268, December.
- Drew Fudenberg & David K. Levine, 1983. "Subgame-Perfect Equilibria of Finite- and Infinite-Horizon Games," Levine's Working Paper Archive 219, David K. Levine.
- M. Beatrice Lignola & Jacqueline Morgan, 2019. "Further on Inner Regularizations in Bilevel Optimization," Journal of Optimization Theory and Applications, Springer, vol. 180(3), pages 1087-1097, March.
- Harris, Christopher J, 1985. "Existence and Characterization of Perfect Equilibrium in Games of Perfect Information," Econometrica, Econometric Society, vol. 53(3), pages 613-628, May.
- Harris, Christopher, 1985. "A characterisation of the perfect equilibria of infinite horizon games," Journal of Economic Theory, Elsevier, vol. 37(1), pages 99-125, October.
- Lina Mallozzi & Panos M. Pardalos, 2022. "Entropic Regularization in Hierarchical Games," SN Operations Research Forum, Springer, vol. 3(1), pages 1-14, March.
- van Damme, E.E.C., 1984. "A relation between perfect equilibria in extensive form games and proper equilibria in normal form games," Other publications TiSEM 3734d89e-fd5c-4c80-a230-5, Tilburg University, School of Economics and Management.
- M. Beatrice Lignola & Jacqueline Morgan, 2017.
"Inner Regularizations and Viscosity Solutions for Pessimistic Bilevel Optimization Problems,"
Journal of Optimization Theory and Applications, Springer, vol. 173(1), pages 183-202, April.
- M. Beatrice Lignola & Jacqueline Morgan, 2016. "Inner Regularizations and Viscosity Solutions for Pessimistic Bilevel Optimization Problems," CSEF Working Papers 435, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
- Hellwig, Martin & Leininger, Wolfgang & Reny, Philip J. & Robson, Arthur J., 1990. "Subgame perfect equilibrium in continuous games of perfect information: An elementary approach to existence and approximation by discrete games," Journal of Economic Theory, Elsevier, vol. 52(2), pages 406-422, December.
- S. Flåm & E. Cavazzuti, 2005. "Entropic Penalties in Finite Games," Annals of Operations Research, Springer, vol. 137(1), pages 331-348, July.
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.- János Flesch & Arkadi Predtetchinski, 2017. "A Characterization of Subgame-Perfect Equilibrium Plays in Borel Games of Perfect Information," Mathematics of Operations Research, INFORMS, vol. 42(4), pages 1162-1179, November.
- Duggan, John, 2017. "Existence of stationary bargaining equilibria," Games and Economic Behavior, Elsevier, vol. 102(C), pages 111-126.
- Sjur Didrik Flåm, 2021. "Games and cost of change," Annals of Operations Research, Springer, vol. 301(1), pages 107-119, June.
- Echenique, Federico, 2004.
"Extensive-form games and strategic complementarities,"
Games and Economic Behavior, Elsevier, vol. 46(2), pages 348-364, February.
- Federico Echenique, 2000. "Extensive-form games and strategic complementarities," Game Theory and Information 0004005, University Library of Munich, Germany.
- Federico Echenique, 2000. "Extensive Form Games and Strategic Complementarities," Levine's Working Paper Archive 7553, David K. Levine.
- Federico Echenique, 2000. "Extensive-Form Games and Strategic Complementarities," Documentos de Trabajo (working papers) 1300, Department of Economics - dECON.
- Wei He & Yeneng Sun, 2015. "Dynamic Games with Almost Perfect Information," Papers 1503.08900, arXiv.org.
- Mertens, J.-F., 1995.
"Two examples of strategic equilibrium,"
Games and Economic Behavior, Elsevier, vol. 8(2), pages 378-388.
- MERTENS, Jean-François, 1992. "Two examples on strategic equilibrium," LIDAM Discussion Papers CORE 1992008, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Mertens, J.-F., 1995. "Two examples of strategic equilibrium," LIDAM Reprints CORE 1137, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Carlos Alós-Ferrer & Klaus Ritzberger, 2017. "Characterizing existence of equilibrium for large extensive form games: a necessity result," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(2), pages 407-430, February.
- He, Wei & Sun, Yeneng, 2020. "Dynamic games with (almost) perfect information," Theoretical Economics, Econometric Society, vol. 15(2), May.
- Govindan, Srihari & Wilson, Robert B., 2005. "Refinements of Nash Equilibrium," Research Papers 1897, Stanford University, Graduate School of Business.
- Francesco Caruso & M. Beatrice Lignola & Jacqueline Morgan, 2020.
"Regularization and Approximation Methods in Stackelberg Games and Bilevel Optimization,"
Springer Optimization and Its Applications, in: Stephan Dempe & Alain Zemkoho (ed.), Bilevel Optimization, chapter 0, pages 77-138,
Springer.
- Francesco Caruso & M. Beatrice Lignola & Jacqueline Morgan, 2019. "Regularization and Approximation Methods in Stackelberg Games and Bilevel Optimization," CSEF Working Papers 541, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy, revised 18 Sep 2020.
- Mariotti, Thomas, 2000. "Subgame-perfect equilibrium outcomes in continuous games of almost perfect information1," Journal of Mathematical Economics, Elsevier, vol. 34(1), pages 99-128, August.
- Guilherme Carmona, 2005.
"On Games Of Perfect Information: Equilibria, Ε–Equilibria And Approximation By Simple Games,"
International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 491-499.
- Guilherme Carmona, 2003. "On games of perfect information: equilibria, e-equilibria and approximation by simple games," Nova SBE Working Paper Series wp427, Universidade Nova de Lisboa, Nova School of Business and Economics.
- Hannu Salonen & Hannu Vartiainen, 2011. "On the Existence of Markov Perfect Equilibria in Perfect Information Games," Discussion Papers 68, Aboa Centre for Economics.
- He, Wei & Sun, Yeneng, 2015. "Dynamic Games with Almost Perfect Information," MPRA Paper 63345, University Library of Munich, Germany.
- Alós-Ferrer, Carlos & Ritzberger, Klaus, 2016. "Equilibrium existence for large perfect information games," Journal of Mathematical Economics, Elsevier, vol. 62(C), pages 5-18.
- Guilherme Carmona, 2004. "On Games of Perfect Information: Equilibria, epsilon-Equilibria and Approximation by Simple Games," Game Theory and Information 0402002, University Library of Munich, Germany.
- Dieter Balkenborg & Rosemarie Nagel, 2016.
"An Experiment on Forward vs. Backward Induction: How Fairness and Level k Reasoning Matter,"
German Economic Review, Verein für Socialpolitik, vol. 17(3), pages 378-408, August.
- Balkenborg Dieter & Nagel Rosemarie, 2016. "An Experiment on Forward vs. Backward Induction: How Fairness and Level k Reasoning Matter," German Economic Review, De Gruyter, vol. 17(3), pages 378-408, August.
- Srihari Govindan & Robert Wilson, 2009.
"On Forward Induction,"
Econometrica, Econometric Society, vol. 77(1), pages 1-28, January.
- Srihari Govindan & Robert Wilson, 2006. "On Forward Induction," Levine's Working Paper Archive 321307000000000618, David K. Levine.
- Srihari Govindan & Robert Wilson, 2008. "On Forward Induction," Levine's Working Paper Archive 122247000000001859, David K. Levine.
- Srihari Govindan & Robert Wilson, 2007. "On Forward Induction," Levine's Bibliography 321307000000000788, UCLA Department of Economics.
- Wilson, Robert B. & Govindan, Srihari, 2007. "On Forward Induction," Research Papers 1955, Stanford University, Graduate School of Business.
- Srihari Govindan & Robert Wilson, 2007. "'On Forward Induction," Levine's Working Paper Archive 321307000000000825, David K. Levine.
- van Damme, E.E.C., 1995.
"Game theory : The next stage,"
Other publications TiSEM
7779b0f9-bef5-45c7-ae6b-7, Tilburg University, School of Economics and Management.
- van Damme, E.E.C., 1999. "Game theory : The next stage," Other publications TiSEM 9b1f2bbf-2e19-42e7-894a-4, Tilburg University, School of Economics and Management.
- van Damme, E.E.C., 1995. "Game theory : The next stage," Discussion Paper 1995-73, Tilburg University, Center for Economic Research.
- Flavio Toxvaerd & Chryssi Giannitsarou, 2004.
"Recursive global games,"
Money Macro and Finance (MMF) Research Group Conference 2003
104, Money Macro and Finance Research Group.
- Toxvaerd, Flavio & Giannitsarou, Chryssi, 2007. "Recursive Global Games," CEPR Discussion Papers 6470, C.E.P.R. Discussion Papers.
More about this item
Keywords
Subgame perfect Nash equilibrium; Two-player Stackelberg game; Actions and/or payoffs perturbation; Convergence; Asymptotic behavior; Variational 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:spr:annopr:v:336:y:2024:i:3:d:10.1007_s10479-023-05422-2. 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.