Bosi, Gianni and Zuanon, Magalì (2010): A generalization of Rader's utility representation theorem.
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|
|Original Title:||A generalization of Rader's utility representation theorem|
|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
|Depositing User:||Gianni Bosi|
|Date Deposited:||12. Aug 2010 10:19|
|Last Modified:||11. Feb 2013 11:27|
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.