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ISIPTA'09 -
SIXTH INTERNATIONAL SYMPOSIUM ON

IMPRECISE PROBABILITY: THEORIES AND APPLICATIONS

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Durham University, Department of Mathematical Sciences

Durham, United Kingdom

Tuesday 14 to Saturday 18 July 2009

## ELECTRONIC PROCEEDINGS

## Ines Couso, Serafín Moral

# Sets of Desirable Gambles and Credal Sets

### Abstract

Sets of desirable gambles were proposed by Walley (2000) as a general theory of imprecise probability.
The main reasons for this are: it is a very general model, including as particular cases most of the existing theories for
imprecise probability;
it has a deep and simple axiomatic justification; and mathematical definitions are natural and intuitive. However, there is still a lot of work to be done until the
theory of desirable gambles is operative for its use in general reasoning tasks. This paper gives an overview of some of
the fundamental concepts expressed in terms of desirable gambles in the finite case, gives a characterization of regular extension, and
studies the nature of maximally coherent sets of gambles.

** Keywords. ** Desirable gambles, regular conditioning, zero probabilities, sets of probability measures

** Paper Download **

The paper is availabe in the following formats:

**Plenary talk **:
Press here to get the file of the presentation.

**Poster **:
Press here to get the file of the poster.

** Authors addresses: **

**Ines Couso**

Department of Statistics and O.R.

E.U.I.T. Industrial de Gijon

Modulo 1-Planta 4

Campus Universitario de Viesques

33071 Gijon

**Serafín Moral**

Dpto. Ciencias de la Computación e IA

ETSI Informática

Universidad de Granada

18071 Granada

SPAIN

** E-mail addresses: **

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