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ISIPTA
2005
IEEE
137views Mathematics» more  ISIPTA 2005»
16 years 10 days ago
Basing Probabilistic Logic on Gambles
This article presents a probabilistic logic whose sentences can be interpreted as asserting the acceptability of gambles described in terms of an underlying logic. This probabilis...
Peter R. Gillett, Richard B. Scherl, Glenn Shafer
ISIPTA
2005
IEEE
117views Mathematics» more  ISIPTA 2005»
16 years 10 days ago
On the Existence of Extremal Cones and Comparative Probability Orderings
We study the recently discovered phenomenon [1] of existence of comparative probability orderings on finite sets that violate Fishburn hypothesis [2, 3] — we call such ordering...
Simon Marshall
ISIPTA
2005
IEEE
168views Mathematics» more  ISIPTA 2005»
16 years 10 days ago
Bayesianism Without Priors, Acts Without Consequences
: A generalization of subjective expected utility is presented in which the primitives are a finite set of states of the world, a finite set of strategies available to the decision...
Robert Nau
ISIPTA
2005
IEEE
155views Mathematics» more  ISIPTA 2005»
16 years 10 days ago
Estimation of Chaotic Probabilities
A Chaotic Probability model is a usual set of probability measures, M, the totality of which is endowed with an objective, frequentist interpretation as opposed to being viewed as...
Leandro Chaves Rêgo, Terrence L. Fine
ISIPTA
2005
IEEE
161views Mathematics» more  ISIPTA 2005»
16 years 10 days ago
Decision making under incomplete data using the imprecise Dirichlet model
The paper presents an efficient solution to decision problems where direct partial information on the distribution of the states of nature is available, either by observations of ...
Lev V. Utkin, Thomas Augustin