Strategy-proof cardinal decision schemes
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. ISSN 0176-1714Full text not available from this repository.
Official URL: http://dx.doi.org/10.1007/s00355-006-0152-9
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|
|Subjects:||H Social Sciences > HB Economic Theory
Q Science > QA Mathematics
|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|
|Official Date:||January 2007|
|Number of Pages:||17|
|Page Range:||pp. 163-179|
|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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