|Abstract||We take a fresh look at voting theory, in particular at the notion of manipulation, by employing the geometry of the Saari triangle. This yields a geometric proof of the Gibbard/Satterthwaite theorem, and new insight into what it means to manipulate the vote. Next, we propose two possible strengthenings of the notion of manipulability (or weakenings of the notion of non-manipulability), and analyze how these affect the impossibility proof for non-manipulable voting rules|
|Keywords||No keywords specified (fix it)|
|Through your library||Only published papers are available at libraries|
Similar books and articles
Franz Dietrich (2007). Strategy-Proof Judgment Aggregation. Economics and Philosophy 23 (3):269-300.
Giovanni Panti (1995). A Geometric Proof of the Completeness of the Łukasiewicz Calculus. Journal of Symbolic Logic 60 (2):563-578.
Martin Carrier, Geometric Facts and Geometric Theory : Helmholtz and 20th-Century Philosophy of Physical Geometry.
Sara Negri (2011). Proof Analysis: A Contribution to Hilbert's Last Problem. Cambridge University Press.
Philip Ehrlich (1986). The Absolute Arithmetic and Geometric Continua. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1986:237 - 246.
Mateja Jamnik, Alan Bundy & Ian Green (1999). On Automating Diagrammatic Proofs of Arithmetic Arguments. Journal of Logic, Language and Information 8 (3):297-321.
David Hartvigsen (2008). The Manipulation of Voting Systems. Journal of Business Ethics 80 (1).
Gordon Belot (2011). Geometric Possibility. Oxford University Press.
John Mumma (2012). Constructive Geometrical Reasoning and Diagrams. Synthese 186 (1):103-119.
Peg Rawes (2008). Space, Geometry and Aesthetics: Through Kant and Towards Deleuze. Palgrave Macmillan.
Roger Clarke (2012). How to Manipulate an Incompatibilistically Free Agent. American Philosophical Quarterly 49 (2):139-49.
Richard Tieszen (2005). Free Variation and the Intuition of Geometric Essences: Some Reflections on Phenomenology and Modern Geometry. Philosophy and Phenomenological Research 70 (1):153–173.
Added to index2012-03-30
Total downloads5 ( #160,483 of 549,625 )
Recent downloads (6 months)1 ( #63,397 of 549,625 )
How can I increase my downloads?