2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/212613In this expository paper we describe a relatively elementary method of establishing the existence of a Dutch book in a simple multivariate normal prediction setting. The method involves deriving a nonstandard predictive distribution that is motivated by invariance. This predictive distribution satisfies an interesting identity which in turn yields an elementary demonstration of the existence of a Dutch book for a variety of possible predictive distributions.Published in at http://dx.doi.org/10.1214/193940307000000356 the IMS Collections (http://www.imstat.org/publications/imscollections.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)Probability62H99 (Primary) 62A01 (Secondary)text