Informational geometry of social choice |
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Authors: | Donald G Saari |
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Institution: | (1) Department of Mathematics, Northwestern University, Evanston, IL 60208-2730, USA, US |
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Abstract: | Elementary geometry is used to understand, extend and resolve basic informational difficulties in choice theory. This includes
axiomatic conclusions such as Arrow’s Theorem, Chichilnisky’s dictator, and the Gibbard–Satterthwaite result. In this manner
new results about positional voting methods are outlined, and difficulties with axiomatic approach are discussed. A topological
result about “dictatorial” behavior is offered.
Received: 15 December 1993/Accepted: 22 April 1996 |
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Keywords: | |
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