ISIPTA'07 - FIFTH INTERNATIONAL SYMPOSIUM ON
IMPRECISE PROBABILITY: THEORIES AND APPLICATIONS

Charles University, Faculty of Mathematicsand Physics
Prague, Czech Republic
16-19 July 2007

ELECTRONIC PROCEEDINGS

Matthias Troffaes

Finite Approximations To Coherent Choice

Abstract

This paper studies and bounds the effects of approximating loss functions and credal sets, under very weak assumptions, on choice functions. In particular, the credal set is assumed to be neither convex nor closed. The main result is that the effects of approximation can be bounded, although in general, approximation of the credal set may not always be practically possible. In case of pairwise choice, I demonstrate how the situation can be improved by showing that only approximations of the extreme points of the closure of the convex hull of the credal set need to be taken into account, as expected.

Keywords. decision making, approximation, E-admissibility, maximality, numerical analysis, lower prevision, sensitivity analysis

Paper Download

The paper is availabe in the following formats:

Authors addresses:

Department of Mathematical Sciences
Durham University
Science Laboratories, South Road
Durham, DH1 3LE

E-mail addresses:

Matthias Troffaes matthias.troffaes@gmail.com


[ back to the Proceedings of ISIPTA'07 home page 
Send any remarks to the following address: smc@decsai.ugr.es