A Short And Constructive Proof of Tarski's Fixed-Point Theorem
Author
Abstract
Suggested Citation
Note: Type of Document - Tex; prepared on Dell PC - Linux; to print on PostScript; pages: 4; figures: non
Download full text from publisher
Other versions of this item:
- Federico Echenique, 2005. "A short and constructive proof of Tarski’s fixed-point theorem," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(2), pages 215-218, June.
References listed on IDEAS
- Zhou Lin, 1994. "The Set of Nash Equilibria of a Supermodular Game Is a Complete Lattice," Games and Economic Behavior, Elsevier, vol. 7(2), pages 295-300, September.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- R Jain & V Korpela & M Lombardi, 2021.
"An Iterative Approach to Rationalizable Implementation,"
IEAS Working Paper : academic research
21-A001, Institute of Economics, Academia Sinica, Taipei, Taiwan.
- Ritesh Jain & Ville Korpela & Michele Lombardi, 2022. "An Iterative Approach to Rationalizable Implementation," CSEF Working Papers 640, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
- Müller, Christoph, 2020. "Robust implementation in weakly perfect Bayesian strategies," Journal of Economic Theory, Elsevier, vol. 189(C).
- Kucuksenel, Serkan, 2011. "Core of the assignment game via fixed point methods," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 72-76, January.
- Takashi Kamihigashi & Kerim Keskin & Çağrı Sağlam, 2021.
"Organizational refinements of Nash equilibrium,"
Theory and Decision, Springer, vol. 91(3), pages 289-312, October.
- Takashi Kamihigashi & Kerim Keskin & Çağrı Sağlam, 2017. "Organizational Refinements of Nash Equilibrium," Discussion Paper Series DP2017-25, Research Institute for Economics & Business Administration, Kobe University.
- Balbus, Lukasz & Dziewulski, Pawel & Reffett, Kevin & Wozny, Lukasz, 2022.
"Markov distributional equilibrium dynamics in games with complementarities and no aggregate risk,"
Theoretical Economics, Econometric Society, vol. 17(2), May.
- Lukasz Balbusy & Pawel Dziewulski & Kevin Reffett & Lukasz Wozny, 2020. "Markov distributional equilibrium dynamics in games with complementarities and no aggregate risk," Working Paper Series 1320, Department of Economics, University of Sussex Business School.
- Lukasz Balbus & Pawel Dziewulski & Kevin Reffett & Lukasz Wozny, 2020. "Markov distributional equilibrium dynamics in games with complementarities and no aggregate risk," KAE Working Papers 2020-052, Warsaw School of Economics, Collegium of Economic Analysis.
- Matthew Elliott & Benjamin Golub & Matthew V. Leduc, 2022.
"Supply Network Formation and Fragility,"
American Economic Review, American Economic Association, vol. 112(8), pages 2701-2747, August.
- Elliott, M. & Golub, B & Leduc, M. V., 2020. "Supply Network Formation and Fragility," Cambridge Working Papers in Economics 2028, Faculty of Economics, University of Cambridge.
- Matthew Elliott & Benjamin Golub & Matthew V Leduc, 2021. "Supply Network Formtion and Fragility," Working Papers halshs-03359607, HAL.
- Matthew Elliott & Benjamin Golub & Matthew V Leduc, 2022. "Supply Network Formation and Fragility," PSE-Ecole d'économie de Paris (Postprint) halshs-03758414, HAL.
- Matthew Elliott & Benjamin Golub & Matthew V. Leduc, 2020. "Supply Network Formation and Fragility," Papers 2001.03853, arXiv.org, revised Feb 2023.
- Matthew Elliott & Benjamin Golub & Matthew V Leduc, 2021. "Supply Network Formtion and Fragility," PSE Working Papers halshs-03359607, HAL.
- Matthew Elliott & Benjamin Golub & Matthew V Leduc, 2022. "Supply Network Formation and Fragility," Post-Print halshs-03758414, HAL.
- Miyauchi, Yuhei, 2016. "Structural estimation of pairwise stable networks with nonnegative externality," Journal of Econometrics, Elsevier, vol. 195(2), pages 224-235.
- Özlem Acar & Hassen Aydi & Manuel De la Sen, 2021. "New Fixed Point Results via a Graph Structure," Mathematics, MDPI, vol. 9(9), pages 1-13, April.
- Emin Karagözoğlu & Kerim Keskin & Çağrı Sağlam, 2024. "Submodularity and supermodularity in contest games," International Journal of Economic Theory, The International Society for Economic Theory, vol. 20(2), pages 182-198, June.
- Francesca Molinari, 2020.
"Microeconometrics with Partial Identification,"
Papers
2004.11751, arXiv.org.
- Francesca Molinari, 2020. "Microeconometrics with Partial Identi?cation," CeMMAP working papers CWP15/20, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- Robert A. Becker & Juan Pablo Rincón-Zapatero, 2017. "Arbitration and Renegotiation in Trade Agreements," CAEPR Working Papers 2017-007, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
- Lu Yu, 2024. "Generalization of Zhou fixed point theorem," Papers 2407.17884, arXiv.org.
- Alex Bloedel & R. Vijay Krishna & Oksana Leukhina, 2018. "Insurance and Inequality with Persistent Private Information," Working Papers 2018-020, Federal Reserve Bank of St. Louis, revised 11 Aug 2024.
- Jain, Ritesh & Lombardi, Michele & Müller, Christoph, 2023. "An alternative equivalent formulation for robust implementation," Games and Economic Behavior, Elsevier, vol. 142(C), pages 368-380.
- Robert Becker & Juan Pablo Rincon-Zapatero, 2018. "Recursive Utility and Thompson Aggregators, I: Constructive Existence Theory for the Koopmans Equation," CAEPR Working Papers 2018-006, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
- Francesca Molinari, 2019. "Econometrics with Partial Identification," CeMMAP working papers CWP25/19, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- Jaeok Park & Doo Hyung Yun, 2023. "Possibilistic beliefs in strategic games," Theory and Decision, Springer, vol. 95(2), pages 205-228, August.
- Federico Quartieri, 2013. "Coalition-proofness under weak and strong Pareto dominance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 553-579, February.
- Karagözoğlu, Emin & Keskin, Kerim & Sağlam, Çağrı, 2013. "A minimally altruistic refinement of Nash equilibrium," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 422-430.
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.- Echenique, Federico, 2004.
"A characterization of strategic complementarities,"
Games and Economic Behavior, Elsevier, vol. 46(2), pages 325-347, February.
- Federico Echenique, 2001. "A Characterization of Strategic Complementarities," GE, Growth, Math methods 0103001, University Library of Munich, Germany.
- Echenique, Federico, 2002. "A Characterization of Strategic Complementarities," Working Papers 1142, California Institute of Technology, Division of the Humanities and Social Sciences.
- Echenique, Federico, 2001. "A Characterization of Strategic Complementarities," Department of Economics, Working Paper Series qt5w13s4z2, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Federico Echenique, 2001. "A characterization of strategic complementarities," Documentos de Trabajo (working papers) 0501, Department of Economics - dECON.
- Federico Echenique., 2001. "A Characterization of Strategic Complementarities," Economics Working Papers E01-299, University of California at Berkeley.
- Emin Karagözoğlu & Kerim Keskin & Çağrı Sağlam, 2024. "Submodularity and supermodularity in contest games," International Journal of Economic Theory, The International Society for Economic Theory, vol. 20(2), pages 182-198, June.
- Takashi Kamihigashi & Kerim Keskin & Çağrı Sağlam, 2021.
"Organizational refinements of Nash equilibrium,"
Theory and Decision, Springer, vol. 91(3), pages 289-312, October.
- Takashi Kamihigashi & Kerim Keskin & Çağrı Sağlam, 2017. "Organizational Refinements of Nash Equilibrium," Discussion Paper Series DP2017-25, Research Institute for Economics & Business Administration, Kobe University.
- Mirman, Leonard J. & Morand, Olivier F. & Reffett, Kevin L., 2008.
"A qualitative approach to Markovian equilibrium in infinite horizon economies with capital,"
Journal of Economic Theory, Elsevier, vol. 139(1), pages 75-98, March.
- Leonard J Mirman & Olivier F. Morand & Kevin L. Reffett, 2004. "A Qualitative Approach to Markovian Equilibrium in Infinite Horizon Economies with Capital," Levine's Bibliography 122247000000000224, UCLA Department of Economics.
- Roy, Sunanda & Sabarwal, Tarun, 2012.
"Characterizing stability properties in games with strategic substitutes,"
Games and Economic Behavior, Elsevier, vol. 75(1), pages 337-353.
- Sunanda Roy & Tarun Sabarwal, 2010. "Characterizing Stability Properties in Games with Strategic Substitutes," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201003, University of Kansas, Department of Economics, revised Oct 2011.
- Roy, Sunanda & Sabarwal, Tarun, 2012. "Characterizing Stability Properties in Games with Strategic Substitutes," Staff General Research Papers Archive 34778, Iowa State University, Department of Economics.
- Roy, Sunanda & Sabarwal, Tarun, 2010. "Characterizing Stability Properties in Games with Strategic Substitutes," Staff General Research Papers Archive 32009, Iowa State University, Department of Economics.
- Roy, Sunanda & Sabarwal, Tarun, 2010. "Characterizing stability properties in games with strategic substitutes," ISU General Staff Papers 201010030700001123, Iowa State University, Department of Economics.
- repec:kan:wpaper:201412 is not listed on IDEAS
- Yang, Jian & Qi, Xiangtong, 2013. "The nonatomic supermodular game," Games and Economic Behavior, Elsevier, vol. 82(C), pages 609-620.
- Federico Echenique, 2002.
"Comparative Statics by Adaptive Dynamics and the Correspondence Principle,"
Econometrica, Econometric Society, vol. 70(2), pages 833-844, March.
- Federico Echenique, 1999. "Comparative Statics by Adaptative Dynamics and the Correspondence Principle," Documentos de Trabajo (working papers) 2099, Department of Economics - dECON.
- Federico Echenique, 2000. "Comparative Statics by Adaptive Dynamics and The Correspondence Principle," Econometric Society World Congress 2000 Contributed Papers 1906, Econometric Society.
- Federico Echenique., 2000. "Comparative Statics by Adaptive Dynamics and The Correspondence Principle," Economics Working Papers E00-273, University of California at Berkeley.
- Federico Echenique, 2000. "Comparative Statics by Adaptive Dynamics and The Correspondence Principle," GE, Growth, Math methods 9912002, University Library of Munich, Germany.
- Anne-Christine Barthel & Eric Hoffmann & Tarun Sabarwal, 2021. "A Unified Approach to p-Dominance and its Generalizations in Games with Strategic Complements and Substitutes," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 202109, University of Kansas, Department of Economics.
- Phillip J. Lederer, 2020. "Location-Price Competition with Delivered Pricing and Elastic Demand," Networks and Spatial Economics, Springer, vol. 20(2), pages 449-477, June.
- Sunanda Roy & Tarun Sabarwal, 2008.
"On the (non-)lattice structure of the equilibrium set in games with strategic substitutes,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(1), pages 161-169, October.
- Roy, Sunanda & Sabarwal, Tarun, 2006. "On the (non-)lattice structure of the equilibrium set in games with strategic substitutes," MPRA Paper 4120, University Library of Munich, Germany, revised 23 May 2007.
- Roy, Sunanda & Sabarwal, T, 2008. "On the (Non)-Lattice Structure of Equilibrium Sets in Games with Strategic Substitutes," Staff General Research Papers Archive 13103, Iowa State University, Department of Economics.
- Healy, Paul J., 2006. "Learning dynamics for mechanism design: An experimental comparison of public goods mechanisms," Journal of Economic Theory, Elsevier, vol. 129(1), pages 114-149, July.
- Olivier Tercieux & Mark Voorneveld, 2010.
"The cutting power of preparation,"
Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 71(1), pages 85-101, February.
- Tercieux, O.R.C. & Voorneveld, M., 2005. "The Cutting Power of Preparation," Discussion Paper 2005-94, Tilburg University, Center for Economic Research.
- Tercieux, Olivier & Voorneveld, Mark, 2005. "The cutting power of preparation," SSE/EFI Working Paper Series in Economics and Finance 583, Stockholm School of Economics.
- Olivier Tercieux & Mark Voorneveld, 2010. "The cutting power of preparation," Post-Print halshs-00754467, HAL.
- Jackson, Matthew O. & Zenou, Yves, 2015.
"Games on Networks,"
Handbook of Game Theory with Economic Applications,,
Elsevier.
- Zenou, Yves & Jackson, Matthew O., 2012. "Games on Networks," CEPR Discussion Papers 9127, C.E.P.R. Discussion Papers.
- 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.
- Vives, Xavier & Vravosinos, Orestis, 2024.
"Strategic complementarity in games,"
Journal of Mathematical Economics, Elsevier, vol. 113(C).
- Vives, Xavier & Vravosinos, Orestis, 2024. "Strategic complementarity in games," CEPR Discussion Papers 19214, C.E.P.R. Discussion Papers.
- Shuoxun Zhang & Tarun Sabarwal & Li Gan, 2015.
"Strategic Or Nonstrategic: The Role Of Financial Benefit In Bankruptcy,"
Economic Inquiry, Western Economic Association International, vol. 53(2), pages 1004-1018, April.
- Li Gan & Tarun Sabarwal & Shuoxun Zhang, 2014. "Strategic or Non-Strategic: The Role of Financial Benefit in Bankruptcy," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201402, University of Kansas, Department of Economics, revised Feb 2014.
- Blume, Lawrence, 2002.
"Stigma and Social Control,"
Economics Series
119, Institute for Advanced Studies.
- Lawrence E. Blume, 2003. "Stigma and Social Control," Game Theory and Information 0312002, University Library of Munich, Germany.
- 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.
- John K.-H. Quah & Koji Shirai, 2015.
"A revealed preference theory of monotone choice and strategic complementarity,"
KIER Working Papers
914, Kyoto University, Institute of Economic Research.
- Natalia Lazzati & John K.-H. Quah & Koji Shirai, 2016. "A revealed preference theory of monotone choice and strategic complementarity," Discussion Paper Series 147, School of Economics, Kwansei Gakuin University, revised Oct 2016.
- Natalia Lazzati & John K.-H. Quah & Koji Shirai, 2015. "A revealed preference theory of monotone choice and strategic complementarity," Discussion Paper Series 138, School of Economics, Kwansei Gakuin University, revised Dec 2015.
- Manjira Datta & Leonard Mirman & Olivier Morand & Kevin Reffett, 2002.
"Monotone Methods for Markovian Equilibrium in Dynamic Economies,"
Annals of Operations Research, Springer, vol. 114(1), pages 117-144, August.
- Kevin Reffett & Manjira Datta & Leonard Mirman & Olivier Morand, "undated". "Monotone Methods for Markovian Equilibrium in Dynamic Economies," Working Papers 2133476, Department of Economics, W. P. Carey School of Business, Arizona State University.
- Manjira Datta & Leonard J. Mirman & Olivier F. Morand & Kevin L. Reffett, 2002. "Monotone Methods for Markovian Equilibrium in Dynamic Economies," Tinbergen Institute Discussion Papers 02-086/2, Tinbergen Institute.
More about this item
Keywords
tarski; fixed-point theorem; supermodular; supermodular games; strategic complementarities; equilibrium existence;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
NEP fields
This paper has been announced in the following NEP Reports:- NEP-GTH-2003-05-15 (Game Theory)
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:wpa:wuwpge:0305001. 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: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.