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SCHOLARPEDIA
2008
110views more  SCHOLARPEDIA 2008»
13 years 7 months ago
Luce's choice axiom
A geometric approach is introduced to explain phenomena that can arise with Luce's choice axiom; e.g., differences occur when determining the likelihood of a ranking by start...
Duncan Luce
MSS
2008
IEEE
112views Hardware» more  MSS 2008»
13 years 7 months ago
Axiomatization of stochastic models for choice under uncertainty
: This paper develops a theory of probabilistic models for risky choices. Part of this theory can be viewed as an extension of the expected utility theory to account for bounded ra...
John K. Dagsvik
MLQ
2000
72views more  MLQ 2000»
13 years 7 months ago
Paracompactness of Metric Spaces and the Axiom of Multiple Choice
The axiom of multiple choice implies that metric spaces are paracompact but the reverse implication cannot be proved in set theory without the axiom of choice.
Paul E. Howard, Kyriakos Keremedis, Jean E. Rubin,...
MLQ
2000
80views more  MLQ 2000»
13 years 7 months ago
Compactness in Countable Tychonoff Products and Choice
We study the relationship between the countable axiom of choice and the Tychonoff product theorem for countable families of topological spaces.
Paul E. Howard, Kyriakos Keremedis, Jean E. Rubin,...
CSL
2005
Springer
14 years 1 months ago
Computing with Sequences, Weak Topologies and the Axiom of Choice
We study computability on sequence spaces, as they are used in functional analysis. It is known that non-separable normed spaces cannot be admissibly represented on Turing machines...
Vasco Brattka, Matthias Schröder