A generalization of Rader's utility representation theorem

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

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
• 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

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