Theory and Decision 53 (1):87-94 (2002)
In the present paper we study the framework of additive utility theory, obtaining new results derived from a concurrence of algebraic and topological techniques. Such techniques lean on the concept of a connected topological totally ordered semigroup. We achieve a general result concerning the existence of continuous and additive utility functions on completely preordered sets endowed with a binary operation ``+'', not necessarily being commutative or associative. In the final part of the paper we get some applications to expected utility theory, and a representation theorem for a class of complete preorders on a quite general family of real mixture spaces
|Keywords||Preordered sets utility funtions continuous and additive utility expected utility semigroups|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Revealed Preference and Expected Utility.Stephen A. Clark - 2000 - Theory and Decision 49 (2):159-174.
Expected Utility and Constrained Maximization: Problems of Compatibility. [REVIEW]Hans Lottenbach - 1994 - Erkenntnis 41 (1):37 - 48.
A Process Approach to the Utility for Gambling.Marc le Menestrel - 2001 - Theory and Decision 50 (3):249-262.
Facts, Norms and Expected Utility Functions.Pierre-Charles Pradier, Teira David & Sophie Jallais - 2008 - History of the Human Sciences 21 (2):45-62.
Reconciliation with the Utility of Chance by Elaborated Outcomes Destroys the Axiomatic Basis of Expected Utility Theory.Robin Pope - 2000 - Theory and Decision 49 (3):223-234.
Lottery Dependent Utility: A Reexamination.Ulrich Schmidt - 2001 - Theory and Decision 50 (1):35-58.
Paradox Lost, but in Which Envelope?Olav Gjelsvik - 2002 - Croatian Journal of Philosophy 2 (3):353-362.
Hierarchical Maximization of Two Kinds of Expected Utility.Paul Weirich - 1988 - Philosophy of Science 55 (4):560-582.
On the Surprising Finding That Expected Utility is Literally Computed in the Brain.Jack Vromen - 2010 - Journal of Economic Methodology 17 (1):17-36.
Extensions of Expected Utility Theory and Some Limitations of Pairwise Comparisons.Teddy Seidenfeld - unknown -
Convex Stochastic Dominance with Finite Consequence Sets.Peter C. Fishburn - 1974 - Theory and Decision 5 (2):119-137.
Added to index2010-09-02
Total downloads42 ( #117,064 of 2,132,898 )
Recent downloads (6 months)22 ( #17,894 of 2,132,898 )
How can I increase my downloads?
There are no threads in this forum
Nothing in this forum yet.