A global Newton method to compute Nash equilibria
Author
Abstract
Suggested Citation
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
- Herings P. Jean-Jacques & Peeters R., 1999. "A Differentiable Homotopy to Compute Nash Equilibria of n-Person Games," Research Memorandum 038, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Faruk Gül & David Pearce & Ennio Stacchetti, 1993. "A Bound on the Proportion of Pure Strategy Equilibria in Generic Games," Mathematics of Operations Research, INFORMS, vol. 18(3), pages 548-552, August.
- Robert Wilson, 1972. "Computing Equilibria of Two-Person Games from the Extensive Form," Management Science, INFORMS, vol. 18(7), pages 448-460, March.
- Govindan, Srihari & Wilson, Robert, 2001. "Direct Proofs of Generic Finiteness of Nash Equilibrium Outcomes," Econometrica, Econometric Society, vol. 69(3), pages 765-769, May.
- Robert Wilson, 2010. "Computing Equilibria of n-person Games," Levine's Working Paper Archive 402, David K. Levine.
- Yamamoto, Yoshitsugu, 1993. "A Path-Following Procedure to Find a Proper Equilibrium of Finite Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 22(3), pages 249-259.
- Wilson, Robert B, 1978. "The Bilinear Complementarity Problem and Competitive Equilibria of Piecewise Linear Economic Models," Econometrica, Econometric Society, vol. 46(1), pages 87-103, January.
- Smale, Steve, 1976. "A convergent process of price adjustment and global newton methods," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 107-120, July.
- 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.
- Joseph T. Howson, Jr. & Robert W. Rosenthal, 1974. "Bayesian Equilibria of Finite Two-Person Games with Incomplete Information," Management Science, INFORMS, vol. 21(3), pages 313-315, November.
- Eaves, B. Curtis & Schmedders, Karl, 1999. "General equilibrium models and homotopy methods," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1249-1279, September.
- C. E. Lemke, 1965. "Bimatrix Equilibrium Points and Mathematical Programming," Management Science, INFORMS, vol. 11(7), pages 681-689, May.
- B. Curtis Eaves, 1971. "The Linear Complementarity Problem," Management Science, INFORMS, vol. 17(9), pages 612-634, May.
- Keenan, Donald, 1981. "Further remarks on the Global Newton method," Journal of Mathematical Economics, Elsevier, vol. 8(2), pages 159-165, 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.- Govindan, Srihari & Wilson, Robert, 2004. "Computing Nash equilibria by iterated polymatrix approximation," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1229-1241, April.
- P. Herings & Ronald Peeters, 2010.
"Homotopy methods to compute equilibria in game theory,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 119-156, January.
- Herings, P.J.J. & Peeters, R.J.A.P., 2006. "Homotopy methods to compute equilibria in game theory," Research Memorandum 046, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Herings,P. Jean-Jacques, 2000.
"Universally Stable Adjustment Processes - A Unifying Approach -,"
Research Memorandum
006, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- P.J.J. Herings, 2001. "Universally Stable Adjustment Processes - A Unifying Approach," GE, Growth, Math methods 0205002, University Library of Munich, Germany.
- Herings,P. Jean-Jacques, 2002. "Universally Stable Adjustment Processes - A Unifying Approach -," Research Memorandum 006, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Bernhard Stengel, 2010. "Computation of Nash equilibria in finite games: introduction to the symposium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 1-7, January.
- Jean-Jacques Herings, P., 2002. "Universally converging adjustment processes--a unifying approach," Journal of Mathematical Economics, Elsevier, vol. 38(3), pages 341-370, November.
- Yiyin Cao & Yin Chen & Chuangyin Dang, 2024. "A Differentiable Path-Following Method with a Compact Formulation to Compute Proper Equilibria," INFORMS Journal on Computing, INFORMS, vol. 36(2), pages 377-396, March.
- Yin Chen & Chuangyin Dang, 2019. "A Reformulation-Based Simplicial Homotopy Method for Approximating Perfect Equilibria," Computational Economics, Springer;Society for Computational Economics, vol. 54(3), pages 877-891, October.
- Anne Balthasar, 2010. "Equilibrium tracing in strategic-form games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 39-54, January.
- Herings, P. Jean-Jacques, 2024.
"Globally and universally convergent price adjustment processes,"
Journal of Mathematical Economics, Elsevier, vol. 113(C).
- Herings, P.J.J., 2024. "Globally and Universally Convergent Price Adjustment Processes," Other publications TiSEM 12dc4fc2-19e8-4a8c-b2ff-2, Tilburg University, School of Economics and Management.
- Herings, P.J.J., 2024. "Globally and Universally Convergent Price Adjustment Processes," Discussion Paper 2024-001, Tilburg University, Center for Economic Research.
- Yiyin Cao & Yin Chen & Chuangyin Dang, 2024. "A Variant of the Logistic Quantal Response Equilibrium to Select a Perfect Equilibrium," Journal of Optimization Theory and Applications, Springer, vol. 201(3), pages 1026-1062, June.
- Cao, Yiyin & Dang, Chuangyin, 2022. "A variant of Harsanyi's tracing procedures to select a perfect equilibrium in normal form games," Games and Economic Behavior, Elsevier, vol. 134(C), pages 127-150.
- 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.
- Doup, T.M. & van den Elzen, A.H. & Talman, A.J.J., 1989.
"Homotopy interpretation of price adjustment proces,"
Research Memorandum
FEW 384, Tilburg University, School of Economics and Management.
- Doup, T.M. & van den Elzen, A.H. & Talman, A.J.J., 1989. "Homotopy interpretation of price adjustment proces," Other publications TiSEM a4beffd7-ec51-4f1c-bcd4-f, Tilburg University, School of Economics and Management.
- Bernhard von Stengel & Antoon van den Elzen & Dolf Talman, 2002.
"Computing Normal Form Perfect Equilibria for Extensive Two-Person Games,"
Econometrica, Econometric Society, vol. 70(2), pages 693-715, March.
- von Stengel, B. & van den Elzen, A.H. & Talman, A.J.J., 1997. "Computing normal form perfect equilibria for extensive two-person games," Other publications TiSEM 4487e2bf-5bc1-47d3-819f-2, Tilburg University, School of Economics and Management.
- von Stengel, B. & van den Elzen, A.H. & Talman, A.J.J., 2002. "Computing normal form perfect equilibria for extensive two-person games," Other publications TiSEM 9f112346-b587-47f3-ad2e-6, Tilburg University, School of Economics and Management.
- von Stengel, B. & van den Elzen, A.H. & Talman, A.J.J., 1997. "Computing normal form perfect equilibria for extensive two-person games," Research Memorandum 752, Tilburg University, School of Economics and Management.
- Joosten, Reinoud & Talman, Dolf, 1998.
"A globally convergent price adjustment process for exchange economies,"
Journal of Mathematical Economics, Elsevier, vol. 29(1), pages 15-26, January.
- Joosten, R.A.M.G. & Talman, A.J.J., 1995. "A globally convergent price adjustment process for exchange economies," Discussion Paper 1995-94, Tilburg University, Center for Economic Research.
- Joosten, R. & Talman, D., 1995. "A Globally Convergent Price Adjustment Process for Exchange Economies," Papers 9594, Tilburg - Center for Economic Research.
- Joosten, R.A.M.G. & Talman, A.J.J., 1995. "A globally convergent price adjustment process for exchange economies," Other publications TiSEM 8bd2cdfe-1214-4aca-a13a-a, Tilburg University, School of Economics and Management.
- Demichelis, Stefano & Ritzberger, Klaus, 2003.
"From evolutionary to strategic stability,"
Journal of Economic Theory, Elsevier, vol. 113(1), pages 51-75, November.
- DEMICHELIS, Stefano & RITZBERGER, Klaus, 2000. "From evolutionary to strategic stability," LIDAM Discussion Papers CORE 2000059, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Porter, Ryan & Nudelman, Eugene & Shoham, Yoav, 2008. "Simple search methods for finding a Nash equilibrium," Games and Economic Behavior, Elsevier, vol. 63(2), pages 642-662, July.
- 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.
- 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).
- 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).
- Govindan, Srihari & Laraki, Rida & Pahl, Lucas, 2023.
"On sustainable equilibria,"
Journal of Economic Theory, Elsevier, vol. 213(C).
- Srihari Govindan & Rida Laraki & Lucas Pahl, 2020. "On Sustainable Equilibria," Post-Print hal-03767987, HAL.
- Srihari Govindan & Rida Laraki & Lucas Pahl, 2020. "On Sustainable Equilibria," Post-Print hal-03084834, HAL.
- Srihari Govindan & Rida Laraki & Lucas Pahl, 2020. "On Sustainable Equilibria," Papers 2005.14094, arXiv.org, revised Aug 2021.
- Srihari Govindan & Rida Laraki & Lucas Pahl, 2023. "On sustainable equilibria," Post-Print hal-04305157, HAL.
- Govindan, Srihari & Wilson, Robert B., 2008.
"Axiomatic Theory of Equilibrium Selection in Signaling Games with Generic Payoffs,"
Research Papers
2000, Stanford University, Graduate School of Business.
- Srihari Govindan & Robert Wilson, 2008. "Axiomatic Theory of Equilibrium Selection in Signalling Games with Generic Payoffs," Levine's Working Paper Archive 122247000000002381, David K. Levine.
Corrections
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:jetheo:v:110:y:2003:i:1:p:65-86. 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/locate/inca/622869 .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.