Title
Strategy-proof Cardinal Decision Schemes
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.
Year
DOI
Venue
2007
10.1007/s00355-006-0152-9
Social Choice and Welfare
Keywords
Field
DocType
satisfiability,publication
Unanimity,Dictatorship,Mathematical economics,Finite set,Grid size,If and only if,Mathematics,Cardinal utility,Grid
Journal
Volume
Issue
ISSN
28
1
1432-217X
Citations 
PageRank 
References 
3
0.76
3
Authors
3
Name
Order
Citations
PageRank
Bhaskar Dutta121454.87
Hans Peters212030.92
Arunava Sen39517.85