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Strategy-proof cardinal decision schemes
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Dutta, Bhaskar, Peters, Hans, Dr. and Sen, Arunava (2007) Strategy-proof cardinal decision schemes. Social Choice and Welfare, Vol.28 (No.1). pp. 163-179. doi:10.1007/s00355-006-0152-9 ISSN 0176-1714.
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Official URL: http://dx.doi.org/10.1007/s00355-006-0152-9
Abstract
This paper analyses strategy-proof mechanisms or decision schemes which map profiles of cardinal utility functions to lotteries over a finite set of outcomes. We provide a new proof of Hylland's theorem which shows that the only strategy-proof cardinal decision scheme satisfying a weak unanimity property is the random dictatorship. Our proof technique assumes a framework where individuals can discern utility differences only if the difference is at least some fixed number which we call the grid size. We also prove a limit random dictatorship result which shows that any sequence of strategy-proof and unanimous decision schemes defined on a sequence of decreasing grid sizes approaching zero must converge to a random dictatorship.
Item Type: | Journal Article | ||||
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Subjects: | H Social Sciences > HB Economic Theory Q Science > QA Mathematics |
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Divisions: | Faculty of Social Sciences > Economics | ||||
Library of Congress Subject Headings (LCSH): | Utility theory -- Mathematical models, Decision making -- Mathematical models, Probabilities | ||||
Journal or Publication Title: | Social Choice and Welfare | ||||
Publisher: | Springer | ||||
ISSN: | 0176-1714 | ||||
Official Date: | January 2007 | ||||
Dates: |
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Volume: | Vol.28 | ||||
Number: | No.1 | ||||
Number of Pages: | 17 | ||||
Page Range: | pp. 163-179 | ||||
DOI: | 10.1007/s00355-006-0152-9 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Version or Related Resource: | Dutta, B., Peters, H. and Sen, A. (2008). Erratum : Strategy-proof cardinal decision schemes. Social Choice and Welfare, 30(4), pp. 701-702. http://wrap.warwick.ac.uk/id/eprint/30352. ; Dutta, B., Peters, H. and Sen, A. (2005). Strategy-proof cardinal decision schemes. [Coventry] : University of Warwick, Economics Department. (Warwick economic research papers, no.722). http://wrap.warwick.ac.uk/id/eprint/1469 | ||||
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