 The above observation suggests that one can gauge an agent’s comparative beliefs, and perhaps more, from her preferences. Savage went one step further than this, and defined comparative beliefs in terms of preferences. To state Savage’s definition, let \(\wcbrel\) be a weak comparative belief relation, defined on the set \(\bS\) of states of the world. (\(\cbrel\) and \(\wcbsim\) are defined in terms of \(\wcbrel \) in the usual way.)