David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Condorcet’s voting paradox shows that pairwise majority voting may lead to cyclical majority preferences. In a famous paper, Sen (1966) identified a general condition on a profile of individual preference orderings, called triplewise value-restriction, which is sufficient for the avoidance of such cycles. This note aims to make Sen’s result easily accessible. We provide an elementary proof of Sen's possibility theorem and a simple reformulation of Sen’s condition. We discuss how Sen’s condition is logically related to a number of precursors. Finally, we state a necessary and sufficient condition for the avoidance of cycles, and suggest that, although there is still some logical space between that condition and Sen’s sufficient condition, Sen’s condition cannot be further generalized in an appealing way.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library||
References found in this work BETA
No references found.
Citations of this work BETA
Daniele Porello (2010). Ranking Judgments in Arrow's Setting. Synthese 173 (2):199 - 210.
Similar books and articles
Christian Elsholtz & Christian List, A Simple Proof of Sen's Possibility Theorem on Majority Decisions.
Christian List, A Note on Introducing a 'Zero-Line' of Welfare as an Escape-Route From Arrow's Theorem.
Christian List (2004). The Impossibility of a Paretian Republican? Some Comments on Pettit and Sen. Economics and Philosophy 20 (1):65-87.
Alfred F. Mackay (1973). A Simplified Proof of an Impossibility Theorem. Philosophy of Science 40 (2):175-177.
Christian List & Philip Pettit (2004). Aggregating Sets of Judgments: Two Impossibility Results Compared. Synthese 140 (1-2):207 - 235.
T. M. Scanlon (2001). Symposium on Amartya Sen's Philosophy: 3 Sen and Consequentialism. Economics and Philosophy 17 (1):39-50.
Christian List & Philip Pettit (2004). Aggregating Sets of Judgments: Two Impossibility Results Compared. Synthese 140 (1/2):207 - 235.
Brian E. Butler (2010). Sen's The Idea of Justice: Back to the (Pragmatic) Future. Contemporary Pragmatism 7 (2):219-229.
Mozaffar Qizilbash (2009). Identity, Community, and Justice: Locating Amartya Sen's Work on Identity. Politics, Philosophy and Economics 8 (3):251-266.
Philip Pettit (2001). Symposium on Amartya Sen's Philosophy: 1 Capability and Freedom: A Defence of Sen. Economics and Philosophy 17 (1):1-20.
Greg Fried (2010). Teaching Arrow's Theorem. Teaching Philosophy 33 (2):173-186.
Peter Vallentyne (2009). Sen on Sufficiency, Priority, and Equality. In Christopher W. Morris (ed.), Amartya Sen. Cambridge University Press.
Philip Pettit (2009). Freedom in the Spirit of Sen. In Christopher W. Morris (ed.), Amartya Sen. Cambridge University Press.
Added to index2010-12-22
Total downloads9 ( #177,829 of 1,410,455 )
Recent downloads (6 months)1 ( #177,872 of 1,410,455 )
How can I increase my downloads?