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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.
ISSN 0176-1714

**Full text not available from this repository.**

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 |

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 |

Volume: | Vol.28 |

Number: | No.1 |

Number of Pages: | 17 |

Page Range: | pp. 163-179 |

Identification Number: | 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 |

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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