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Strategyproof cardinal decision schemes
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Dutta, Bhaskar, Peters, Hans, Dr. and Sen, Arunava. (2007) Strategyproof cardinal decision schemes. Social Choice and Welfare, Vol.28 (No.1). pp. 163179. ISSN 01761714
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Official URL: http://dx.doi.org/10.1007/s0035500601529
Abstract
This paper analyses strategyproof 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 strategyproof 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 strategyproof 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  
Publisher:  Springer  
ISSN:  01761714  
Official Date:  January 2007  
Dates: 


Volume:  Vol.28  
Number:  No.1  
Number of Pages:  17  
Page Range:  pp. 163179  
Identification Number:  10.1007/s0035500601529  
Status:  Peer Reviewed  
Publication Status:  Published  
Version or Related Resource:  Dutta, B., Peters, H. and Sen, A. (2008). Erratum : Strategyproof cardinal decision schemes. Social Choice and Welfare, 30(4), pp. 701702. http://wrap.warwick.ac.uk/id/eprint/30352. ; Dutta, B., Peters, H. and Sen, A. (2005). Strategyproof cardinal decision schemes. [Coventry] : University of Warwick, Economics Department. (Warwick economic research papers, no.722). http://wrap.warwick.ac.uk/id/eprint/1469  
Related URLs:  
References:  Barberà S (1978) Nice decision schemes. In: Gottinger HW, LeinfellnerW(eds) Decision theory 

URI:  http://wrap.warwick.ac.uk/id/eprint/32516 
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