David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
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)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Stephen A. Clark (2000). Revealed Preference and Expected Utility. Theory and Decision 49 (2):159-174.
Wesley Cooper (2008). Decision-Value Utilitarianism. Polish Journal of Philosophy 2 (2):39-50.
Hans Lottenbach (1994). Expected Utility and Constrained Maximization: Problems of Compatibility. [REVIEW] Erkenntnis 41 (1):37 - 48.
Marc le Menestrel (2001). A Process Approach to the Utility for Gambling. Theory and Decision 50 (3):249-262.
Pradier Pierre-Charles, David Teira & Jallais Sophie (2008). Facts, Norms and Expected Utility Functions. History of the Human Sciences 21 (2):45-62.
Robin Pope (2000). Reconciliation with the Utility of Chance by Elaborated Outcomes Destroys the Axiomatic Basis of Expected Utility Theory. Theory and Decision 49 (3):223-234.
Ulrich Schmidt (2001). Lottery Dependent Utility: A Reexamination. Theory and Decision 50 (1):35-58.
Olav Gjelsvik (2002). Paradox Lost, but in Which Envelope? Croatian Journal of Philosophy 2 (3):353-362.
Piers Rawling (1997). Perspectives on a Pair of Envelopes. Theory and Decision 43 (3):253-277.
Patrick Suppes (1981). The Limits of Rationality. Grazer Philosophische Studien 12:85-101.
Fred Feldman (2006). Actual Utility, the Objection From Impracticality, and the Move to Expected Utility. Philosophical Studies 129 (1):49 - 79.
Paul Weirich (1988). Hierarchical Maximization of Two Kinds of Expected Utility. Philosophy of Science 55 (4):560-582.
Jack Vromen (2010). On the Surprising Finding That Expected Utility is Literally Computed in the Brain. Journal of Economic Methodology 17 (1):17-36.
Teddy Seidenfeld, Extensions of Expected Utility Theory and Some Limitations of Pairwise Comparisons.
Peter C. Fishburn (1974). Convex Stochastic Dominance with Finite Consequence Sets. Theory and Decision 5 (2):119-137.
Added to index2010-09-02
Total downloads5 ( #229,635 of 1,102,835 )
Recent downloads (6 months)2 ( #182,775 of 1,102,835 )
How can I increase my downloads?