Alcantud, José Carlos R. and Bosi, Gianni and Zuanon, Magalì
(2013):
*Representations of preorders by strong multi-objective functions.*

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## Abstract

We introduce a new kind of representation of a not necessarily total preorder, called strong multi-utility representation, according to which not only the preorder itself but also its strict part is fully represented by a family of multi-objective functions. The representability by means of semicontinuous or continuous multi-objective functions is discussed, as well as the relation between the existence of a strong multi-utility representation and the existence of a Richter-Peleg utility function. We further present conditions for the existence of a semicontinuous or continuous countable strong multi-utility representation.

Item Type: | MPRA Paper |
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Original Title: | Representations of preorders by strong multi-objective functions |

Language: | English |

Keywords: | Multi-utility representation, Richter-Peleg utility, Strong multi-utility |

Subjects: | C - Mathematical and Quantitative Methods > C0 - General D - Microeconomics > D0 - General > D01 - Microeconomic Behavior: Underlying Principles |

Item ID: | 52329 |

Depositing User: | Jose Carlos R. Alcantud |

Date Deposited: | 18 Dec 2013 06:11 |

Last Modified: | 26 Sep 2019 17:50 |

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URI: | https://mpra.ub.uni-muenchen.de/id/eprint/52329 |