Beyond Nash Bargaining Theory: The Nash Set
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
- Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
- R.J. Aumann & S. Hart (ed.), 2002.
"Handbook of Game Theory with Economic Applications,"
Handbook of Game Theory with Economic Applications,
Elsevier,
edition 1, volume 3, number 3.
- R.J. Aumann & S. Hart (ed.), 1994. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 2, number 2.
- R.J. Aumann & S. Hart (ed.), 1992. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 1, number 1.
- Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
- Herrero, Maria Jose, 1989. "The nash program: Non-convex bargaining problems," Journal of Economic Theory, Elsevier, vol. 49(2), pages 266-277, December.
- Rubinstein, Ariel & Safra, Zvi & Thomson, William, 1992. "On the Interpretation of the Nash Bargaining Solution and Its Extension to Non-expected Utility Preferences," Econometrica, Econometric Society, vol. 60(5), pages 1171-1186, September.
- Nagahisa, Ryo-ichi, 1991. "A local independence condition for characterization of Walrasian allocations rule," Journal of Economic Theory, Elsevier, vol. 54(1), pages 106-123, June.
- Lin Zhou, 1997. "The Nash Bargaining Theory with Non-Convex Problems," Econometrica, Econometric Society, vol. 65(3), pages 681-686, May.
- Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
- Conley, John P. & Wilkie, Simon, 1996. "An Extension of the Nash Bargaining Solution to Nonconvex Problems," Games and Economic Behavior, Elsevier, vol. 13(1), pages 26-38, March.
- Serrano, Roberto, 1997. "Reinterpreting the Kernel," Journal of Economic Theory, Elsevier, vol. 77(1), pages 58-80, November.
- Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer;Game Theory Society, vol. 15(3), pages 187-200.
- Maschler, Michael, 1992. "The bargaining set, kernel, and nucleolus," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 18, pages 591-667, Elsevier.
- Aumann, Robert J, 1985. "An Axiomatization of the Non-transferable Utility Value," Econometrica, Econometric Society, vol. 53(3), pages 599-612, May.
- Peleg, Bezalel, 1985. "An axiomatization of the core of cooperative games without side payments," Journal of Mathematical Economics, Elsevier, vol. 14(2), pages 203-214, April.
- Saijo, Tatsuyoshi & Tatamitani, Yoshikatsu & Yamato, Takehiko, 1996. "Toward Natural Implementation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 949-980, November.
- Moldovanu, B, 1990. "Stable Bargained Equilibria for Assignment Games without Side Payments," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(2), pages 171-190.
- Lensberg, Terje, 1987. "Stability and Collective Rationality," Econometrica, Econometric Society, vol. 55(4), pages 935-961, July.
- Lensberg, Terje, 1988. "Stability and the Nash solution," Journal of Economic Theory, Elsevier, vol. 45(2), pages 330-341, August.
- Vijay Krishna & Roberto Serrano, 1996. "Multilateral Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(1), pages 61-80.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Yan-An Hwang & Yu-Hsien Liao, 2010. "The unit-level-core for multi-choice games: the replicated core for TU games," Journal of Global Optimization, Springer, vol. 47(2), pages 161-171, June.
- Anna Bogomolnaia & Hervé Moulin & Fedor Sandomirskiy & Elena Yanovskaya, 2017.
"Competitive Division of a Mixed Manna,"
Econometrica, Econometric Society, vol. 85(6), pages 1847-1871, November.
- Anna Bogomolnaia & Herve Moulin & Fedor Sandomirskiy & Elena Yanovskaya, 2017. "Competitive division of a mixed manna," HSE Working papers WP BRP 158/EC/2017, National Research University Higher School of Economics.
- Guni Orshan & Federico Valenciano & José M. Zarzuelo, 2003. "The Bilateral Consistent Prekernel, the Core, and NTU Bankruptcy Problems," Mathematics of Operations Research, INFORMS, vol. 28(2), pages 268-282, May.
- Elena Iñarra & Roberto Serrano & Ken-Ichi Shimomura, 2020.
"The Nucleolus, the Kernel, and the Bargaining Set: An Update,"
Revue économique, Presses de Sciences-Po, vol. 71(2), pages 225-266.
- Elena Iñarra & Roberto Serrano & Ken-Ichi Shimomura, 2019. "The Nucleolus, the Kernel, and the Bargaining Set: An Update," Discussion Paper Series DP2019-12, Research Institute for Economics & Business Administration, Kobe University.
- Samuel Danthine & Noemí Navarro, 2013.
"How to Add Apples and Pears: Non-Symmetric Nash Bargaining and the Generalized Joint Surplus,"
Economics Bulletin, AccessEcon, vol. 33(4), pages 2840-2850.
- Samuel Danthine & Noemí Navarro, 2010. "How to Add Apples and Pears: Non-Symmetric Nash Bargaining and the Generalized Joint Surplus," Working Papers 2010-04, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
- Burguet, Roberto & Caminal, Ramon, 2020.
"Coalitional bargaining with consistent counterfactuals,"
Journal of Economic Theory, Elsevier, vol. 187(C).
- Ramon Caminal & Roberto Burguet, 2016. "Coalitional Bargaining with Consistent Counterfactuals," Working Papers 923, Barcelona School of Economics.
- Yan-An Hwang & Yu-Hsien Liao, 2011. "The multi-core, balancedness and axiomatizations for multi-choice games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(4), pages 677-689, November.
- Roberto Burguet & Ramon Caminal, 2010.
"Simultaneous Nash Bargaining with Consistent Beliefs,"
UFAE and IAE Working Papers
854.10, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Ramon Caminal & Roberto Burguet, 2015. "Simultaneous Nash Bargaining with Consistent Beliefs," Working Papers 521, Barcelona School of Economics.
- Debraj Ray & Rajiv Vohra, 2024. "Nash Bargaining with Coalitional Threats," Working Papers 2024-001, Brown University, Department of Economics.
- de Clippel, Geoffroy, 2008.
"An axiomatization of the inner core using appropriate reduced games,"
Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 316-323, February.
- Geoffroy de Clippel, 2005. "An Axiomatization of the Inner Core Using Appropriate Reduced Games," Working Papers 2005-02, Brown University, Department of Economics.
- Alphonse Fodouop Fotso & Roland Pongou & Bertrand Tchantcho, 2024. "A Behavioral Test and Classification of Solution Concepts in Games," SN Operations Research Forum, Springer, vol. 5(4), pages 1-35, December.
- Yan-An Hwang, 2006. "Two characterizations of the consistent egalitarian solution and of the core on NTU games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(3), pages 557-568, December.
- Yan-An Hwang, 2009. "An NTU value under complement reduced game," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(3), pages 305-324, November.
- Jens Leth Hougaard & Mich Tvede, 2010.
"n-Person Nonconvex Bargaining: Efficient Proportional Solution,"
Discussion Papers
10-21, University of Copenhagen. Department of Economics.
- Jens Leth Hougaard & Mich Tvede, 2010. "n-Person Nonconvex Bargaining: Efficient Proportional Solutions," MSAP Working Paper Series 02_2010, University of Copenhagen, Department of Food and Resource Economics.
- repec:ehu:ikerla:34464 is not listed on IDEAS
- Zambrano, Eduardo, 2016. "‘Vintage’ Nash bargaining without convexity," Economics Letters, Elsevier, vol. 141(C), pages 32-34.
- Serrano, Roberto & Shimomura, Ken-Ichi, 2006.
"A comparison of the average prekernel and the prekernel,"
Mathematical Social Sciences, Elsevier, vol. 52(3), pages 288-301, December.
- Serrano, Roberto & Shimomura, Ken-Ichi, 2005. "A comparison of the average prekernel and the prekernel," UC3M Working papers. Economics we055827, Universidad Carlos III de Madrid. Departamento de EconomÃa.
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.- Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
- Roberto Serrano & Ken Ichi Shimomura, 1996. "An axiomatization of the prekernel of nontransferable utility games," Economics Working Papers 167, Department of Economics and Business, Universitat Pompeu Fabra.
- Serrano, Roberto, 1997. "Reinterpreting the Kernel," Journal of Economic Theory, Elsevier, vol. 77(1), pages 58-80, November.
- Roberto Serrano, 2005.
"Fifty years of the Nash program, 1953-2003,"
Investigaciones Economicas, Fundación SEPI, vol. 29(2), pages 219-258, May.
- Roberto Serrano, 2004. "Fifty Years of the Nash Program, 1953-2003," Working Papers 2004-20, Brown University, Department of Economics.
- Serrano, Roberto & Shimomura, Ken-Ichi, 2006.
"A comparison of the average prekernel and the prekernel,"
Mathematical Social Sciences, Elsevier, vol. 52(3), pages 288-301, December.
- Serrano, Roberto & Shimomura, Ken-Ichi, 2005. "A comparison of the average prekernel and the prekernel," UC3M Working papers. Economics we055827, Universidad Carlos III de Madrid. Departamento de EconomÃa.
- Marco Mariotii, 1996. "Fair bargains: distributive justice and Nash Bargaining Theory," Game Theory and Information 9611003, University Library of Munich, Germany, revised 06 Dec 1996.
- Chun, Youngsub, 2002. "The Converse Consistency Principle in Bargaining," Games and Economic Behavior, Elsevier, vol. 40(1), pages 25-43, July.
- Roberto Serrano, 2007. "Bargaining," Working Papers 2007-06, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
- Cheng-Zhong Qin & Shuzhong Shi & Guofu Tan, 2015.
"Nash bargaining for log-convex problems,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(3), pages 413-440, April.
- Qin, Cheng-Zhong & Shi, Shuzhong & Tan, Guofu, 2015. "Nash bargaining for log-convex problems," University of California at Santa Barbara, Recent Works in Economics qt5dn8c7hp, Department of Economics, UC Santa Barbara.
- Alfredo Valencia-Toledo & Juan Vidal-Puga, 2020.
"A sequential bargaining protocol for land rental arrangements,"
Review of Economic Design, Springer;Society for Economic Design, vol. 24(1), pages 65-99, June.
- Valencia-Toledo, Alfredo & Vidal-Puga, Juan, 2017. "A sequential bargaining protocol for land rental arrangements," MPRA Paper 80424, University Library of Munich, Germany.
- Valencia-Toledo, Alfredo & Vidal-Puga, Juan, 2019. "A sequential bargaining protocol for land rental arrangements," MPRA Paper 97934, University Library of Munich, Germany.
- William Thomson, 2011.
"Consistency and its converse: an introduction,"
Review of Economic Design, Springer;Society for Economic Design, vol. 15(4), pages 257-291, December.
- Thomson, W., 1998. "Consistency and its Converse: an Introduction," RCER Working Papers 448, University of Rochester - Center for Economic Research (RCER).
- David H. Wolpert & James Bono, 2010. "A theory of unstructured bargaining using distribution-valued solution concepts," Working Papers 2010-14, American University, Department of Economics.
- Orshan, Gooni & Zarzuelo, Jose M., 2000. "The Bilateral Consistent Prekernel for NTU Games," Games and Economic Behavior, Elsevier, vol. 32(1), pages 67-84, July.
- Spulber, Daniel F., 2016. "Patent licensing and bargaining with innovative complements and substitutes," Research in Economics, Elsevier, vol. 70(4), pages 693-713.
- Guni Orshan & Federico Valenciano & José M. Zarzuelo, 2003. "The Bilateral Consistent Prekernel, the Core, and NTU Bankruptcy Problems," Mathematics of Operations Research, INFORMS, vol. 28(2), pages 268-282, May.
- Yongsheng Xu & Naoki Yoshihara, 2019.
"An equitable Nash solution to nonconvex bargaining problems,"
International Journal of Game Theory, Springer;Game Theory Society, vol. 48(3), pages 769-779, September.
- Yongsheng Xu & Naoki Yoshihara, 2018. "An equitable Nash solution to nonconvex bargaining problems," Working Papers SDES-2018-11, Kochi University of Technology, School of Economics and Management, revised Oct 2018.
- Xu, Yongsheng & Yoshihara, Naoki, 2018. "An Equitable Nash Solution to Nonconvex Bargaining Problems," Discussion Paper Series 680, Institute of Economic Research, Hitotsubashi University.
- Bram Driesen & Peter Eccles & Nora Wegner, 2017. "A non-cooperative foundation for the continuous Raiffa solution," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(4), pages 1115-1135, November.
- Youngsub Chun, 2020. "Some Impossibility Results on the Converse Consistency Principle in Bargaining," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 37(1), pages 59-65, November.
- Jonathan Shalev, 2002.
"Loss Aversion and Bargaining,"
Theory and Decision, Springer, vol. 52(3), pages 201-232, May.
- Jonathan Shalev, 1996. "Loss Aversion and Bargaining," Game Theory and Information 9606001, University Library of Munich, Germany, revised 19 Jul 1997.
- SHALEV, Jonathan, 1997. "Loss aversion and bargaining," LIDAM Discussion Papers CORE 1997006, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Miyagawa, Eiichi, 2002. "Subgame-perfect implementation of bargaining solutions," Games and Economic Behavior, Elsevier, vol. 41(2), pages 292-308, November.
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:83:y:1998:i:2:p:286-307. 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.