The Hex Game Theorem And The Arrow Impossibility Theorem: The Case Of Weak Orders
Author
Abstract
Suggested Citation
DOI: 10.1111/j.1467-999X.2008.00332.x
Download full text from publisher
References listed on IDEAS
- Chichilnisky, Graciela, 1979. "On fixed point theorems and social choice paradoxes," Economics Letters, Elsevier, vol. 3(4), pages 347-351.
- Kotaro Suzumura, 2000. "Presidential Address: Welfare Economics Beyond Welfarist-Consequentialism," The Japanese Economic Review, Japanese Economic Association, vol. 51(1), pages 1-32, March.
- Yasuhito Tanaka, 2005. "On the equivalence of the Arrow impossibility theorem and the Brouwer fixed point theorem (forthcoming in ``Applied Mathematics and Computation''(Elsevier))," Public Economics 0506012, University Library of Munich, Germany, revised 17 Jun 2005.
- Chichilnisky, Graciela, 1980. "Social choice and the topology of spaces of preferences," MPRA Paper 8006, University Library of Munich, Germany.
- Chichilnisky, G., 1993. "Intersecting Families of Sets and the Topology of Cones in Economics," Papers 93-17, Columbia - Graduate School of Business.
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.- Lauwers, Luc, 2000.
"Topological social choice,"
Mathematical Social Sciences, Elsevier, vol. 40(1), pages 1-39, July.
- Luc Lauwers, 1999. "Topological Social Choice," Working Papers of Department of Economics, Leuven ces9912, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
- Graciela Chichilnisky, 1996.
"A robust theory of resource allocation,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(1), pages 1-10, January.
- Chichilnisky, Graciela, 1994. "A robust theory of resource allocation," MPRA Paper 8599, University Library of Munich, Germany.
- Luc Lauwers, 2002. "A note on Chichilnisky's social choice paradox," Theory and Decision, Springer, vol. 52(3), pages 261-266, May.
- Nikita Miku, 2022. "The connection between Arrow theorem and Sperner lemma," Papers 2212.12251, arXiv.org.
- Takuma Okura, 2024. "A topological proof of Terao's generalized Arrow's Impossibility Theorem," Papers 2408.14263, arXiv.org.
- repec:ebl:ecbull:v:3:y:2005:i:4:p:1-7 is not listed on IDEAS
- Tanaka, Yasuhito, 2007. "A topological approach to Wilson's impossibility theorem," Journal of Mathematical Economics, Elsevier, vol. 43(2), pages 184-191, February.
- Chichilnisky, Graciela, 1983. "Social choice and game theory: recent results with a topological approach," MPRA Paper 8059, University Library of Munich, Germany.
- Crespo, Juan A. & Sanchez-Gabites, J.J, 2016. "Solving the Social Choice problem under equality constraints," MPRA Paper 72757, University Library of Munich, Germany.
- Ju, Biung-Ghi, 2004. "Continuous selections from the Pareto correspondence and non-manipulability in exchange economies," Journal of Mathematical Economics, Elsevier, vol. 40(5), pages 573-592, August.
- Askoura, Youcef & Billot, Antoine, 2021.
"Social decision for a measure society,"
Journal of Mathematical Economics, Elsevier, vol. 94(C).
- Youcef Askoura & Antoine Billot, 2021. "Social decision for a measure society," Post-Print hal-04120433, HAL.
- Bossert, Walter & Suzumura, Kotaro, 2012.
"Product filters, acyclicity and Suzumura consistency,"
Mathematical Social Sciences, Elsevier, vol. 64(3), pages 258-262.
- BOSSERT, Walter & SUZUMURA, Kotaro, 2010. "Product Filters, Acyclicity and Suzumura Consistency," Cahiers de recherche 2010-11, Universite de Montreal, Departement de sciences economiques.
- BOSSERT, Walter & SUZUMURA, Kotaro, 2010. "Product Filters, Acyclicity and Suzumura Consistency," Cahiers de recherche 20-2010, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Yasuhito Tanaka, 2005. "A topological proof of Eliaz's unified theorem of social choice theory (forthcoming in "Applied Mathematics and Computation")," Public Economics 0510021, University Library of Munich, Germany, revised 26 Oct 2005.
- Chichilnisky, Graciela, 1996. "Limited arbitrage is necessary and sufficient for the non-emptiness of the core," Economics Letters, Elsevier, vol. 52(2), pages 177-180, August.
- Salvador Barberà & Dolors Berga & Bernardo Moreno, 2020.
"Arrow on domain conditions: a fruitful road to travel,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 237-258, March.
- Dolors Berga & Bernardo Moreno & Salvador BarberÃ, 2019. "Arrow on domain conditions: a fruitful road to travel," Working Papers 1095, Barcelona School of Economics.
- Yasuhito Tanaka, 2005. "A topological approach to the Arrow impossibility theorem when individual preferences are weak orders (forcoming in ``Applied Mathematics and Compuation''(Elsevier))," Public Economics 0506013, University Library of Munich, Germany, revised 17 Jun 2005.
- I.D.A. Macintyre, 1998. "Two-Person and majority continuous aggregation in 2-good space in Social Choice: a note," Theory and Decision, Springer, vol. 44(2), pages 199-209, April.
- Chichilnisky, Graciela, 1997. "Limited arbitrage is necessary and sufficient for the existence of an equilibrium," Journal of Mathematical Economics, Elsevier, vol. 28(4), pages 470-479, November.
- Norman Schofield, 2015. "Climate Change, Collapse and Social Choice Theory," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 9(1), pages 007-035, October.
- Kerber, Manfred & Lange, Christoph & Rowat, Colin, 2016. "An introduction to mechanized reasoning," Journal of Mathematical Economics, Elsevier, vol. 66(C), pages 26-39.
- Susumu Cato, 2013. "Alternative proofs of Arrow’s general possibility theorem," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 131-137, 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:bla:metroe:v:60:y:2009:i:1:p:77-90. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0026-1386 .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.