Title: Dutch Book against some "Objective" Priors
Author: Morris L. Eaton and David A. Freedman  
Date: June 2003
Pub: PDF
Url: http://www.stat.berkeley.edu/~census/642.pdf
Abstract:
"Dutch book," "incoherence," and "strong inconsistency" are
generally equivalent: there is a system of bets which is expected
to make money for the gambler, whatever the state of nature may
be. As de Finetti showed, a bookie who is not a Bayesian is
subject to a dutch book, under certain highly stylized rules of
play-- a fact often used as an argument against frequentists. So-
called "objective" or "uninformative" priors may also be subject
to a dutch book.  This note explains, in a relatively simple and
self-contained way, how to make dutch book against a frequently-
recommended uninformative prior for covariance matrices.