Editing Arrow's impossibility theorem (section)

== Further reading ==

* {{cite book |last1=Campbell |first1=D. E. |url=https://books.google.com/books?id=rh10cOpltLsC |title=Handbook of social choice and welfare |publisher=Elsevier |year=2002 |isbn=978-0-444-82914-6 |editor-last1=Arrow |editor-first1=Kenneth J. |editor-link1=Kenneth Arrow |volume=1 |location=Amsterdam, Netherlands |pages=35–94 |chapter=Impossibility theorems in the Arrovian framework |ref=ArrowSenSuzumura2002 |editor-last2=Sen |editor-first2=Amartya K. |editor-link2=Amartya Sen |editor-last3=Suzumura |editor-first3=Kōtarō |editor-link3=Kotaro Suzumura}} Surveys many of approaches discussed in [[#Alternatives based on functions of preference profiles]]{{Broken anchor|date=2024-07-19|bot=User:Cewbot/log/20201008/configuration|target_link=#Alternatives based on functions of preference profiles|reason= The anchor (Alternatives based on functions of preference profiles) [[Special:Diff/1215537415|has been deleted]].}}.
* {{cite journal |last=Dardanoni |first=Valentino |year=2001 |title=A pedagogical proof of Arrow's Impossibility Theorem |url=https://escholarship.org/content/qt96n108ts/qt96n108ts.pdf?t=li5b40 |journal=Social Choice and Welfare |volume=18 |issue=1 |pages=107–112 |doi=10.1007/s003550000062 |jstor=41106398 |s2cid=7589377}} [http://repositories.cdlib.org/ucsdecon/1999-25/ preprint].
* {{cite journal |last=Hansen |first=Paul |year=2002 |title=Another Graphical Proof of Arrow's Impossibility Theorem |journal=The Journal of Economic Education |volume=33 |issue=3 |pages=217–235 |doi=10.1080/00220480209595188 |s2cid=145127710}}
* {{cite book |last=Hunt |first=Earl |author-link=Earl B. Hunt |url=http://www.cambridge.org/9780521850124 |title=The Mathematics of Behavior |publisher=Cambridge University Press |year=2007 |isbn=9780521850124}}. The chapter "Defining Rationality: Personal and Group Decision Making" has a detailed discussion of the Arrow Theorem, with proof.
* {{cite book |last=Lewis |first=Harold W. |title=Why flip a coin? : The art and science of good decisions |publisher=John Wiley |year=1997 |isbn=0-471-29645-7}} Gives explicit examples of preference rankings and apparently anomalous results under different electoral system. States but does not prove Arrow's theorem.
* {{Cite book |last1=Sen |first1=Amartya Kumar |author-link1=Amartya Sen |title=Collective choice and social welfare |publisher=North-Holland |year=1979 |isbn=978-0-444-85127-7 |location=Amsterdam}}
* {{cite book |last=Skala |first=Heinz J. |title=Theory and Decision : Essays in Honor of Werner Leinfellner |publisher=Springer |year=2012 |isbn=978-94-009-3895-3 |editor-last=Eberlein |editor-first=G. |pages=273–286 |chapter=What Does Arrow's Impossibility Theorem Tell Us? |editor2-last=Berghel |editor2-first=H. A. |chapter-url=https://books.google.com/books?id=Xrp9CAAAQBAJ&pg=PA273}}
* {{cite journal |last1=Tang |first1=Pingzhong |last2=Lin |first2=Fangzhen |year=2009 |title=Computer-aided Proofs of Arrow's and Other Impossibility Theorems |journal=Artificial Intelligence |volume=173 |issue=11 |pages=1041–1053 |doi=10.1016/j.artint.2009.02.005 |doi-access=free}}