Sets of Desirable Gambles and Credal Sets
Inés Couso, Serafı́n Moral · 2009
Sets of desirable gambles were proposed by Walley [7] 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.