Bosi, Gianni and Zuanon, Magalì
(2010):
*A generalization of Rader's utility representation theorem.*

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## Abstract

Rader's utility representation theorem guarantees the existence of an upper semicontinuous utility function for any upper semicontinuous total preorder on a second countable topological space. In this paper we present a generalization of Rader's theorem to not necessarily total preorders that are weakly upper semicontinuous.

Item Type: | MPRA Paper |
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Original Title: | A generalization of Rader's utility representation theorem |

Language: | English |

Keywords: | Weakly upper semicontinuous preorder; utility function |

Subjects: | D - Microeconomics > D1 - Household Behavior and Family Economics > D11 - Consumer Economics: Theory C - Mathematical and Quantitative Methods > C6 - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling > C60 - General |

Item ID: | 24314 |

Depositing User: | Gianni Bosi |

Date Deposited: | 12. Aug 2010 10:19 |

Last Modified: | 11. Feb 2013 11:27 |

References: | J.C.R. Alcantud, Characterization of the existence of semicontinuous weak utilities, Journal of Mathematical Economics 32 (1999), 503-509. G. Bosi, G. Herden, On the structure of completely useful topologies, Applied General Topology 3 (2002), 145-167. G. Bosi, G.B. Mehta, Existence of a semicontinuous or continuous utility function: a unified approach and an elementary proof, Journal of Mathematical Economics 38 (2002), 311--328. R. Isler, Semicontinuous utility functions in topological spaces, Rivista di Matematica per le Scienze economiche e sociali 20 (1997), 111-116. G.B. Mehta, A remark on a utility representation theorem of Rader, Economic Theory 9 (1997), 367-370. T. Rader, The existence of a utility function to represent preferences, Review of Economic Studies 30 (1963), 229-232. M. Richter, Continuous and semicontinuous utility, International Economic Review 21 (1980), 293-299. |

URI: | http://mpra.ub.uni-muenchen.de/id/eprint/24314 |