Would you agree that the Jeffrey-Bolker picture has stronger conditions? Rather than just needing the agent to tell you their preference ordering, they need to tell you a much more structured and theory-laden set of objects.
If you’re interested in austerity it might be interesting to try to weaken the Jeffrey-Bolker requirements, or strengthen the Savage ones, to zoom in on what lets you get austerity.
Also, richness is possible in the Savage picture, you just have to stretch the definitions of “state,” “action,” and “consequence.” In terms of the functional relationship, the action is just the thing the agent gives you a preference ordering over, and the state is just the stuff that, together with action, gives you a consequence, and the consequences are any set at all. The state doesn’t have to be literally the state of the world, and the actions don’t have to be discrete, external actions.
Would you agree that the Jeffrey-Bolker picture has stronger conditions? Rather than just needing the agent to tell you their preference ordering, they need to tell you a much more structured and theory-laden set of objects.
If you’re interested in austerity it might be interesting to try to weaken the Jeffrey-Bolker requirements, or strengthen the Savage ones, to zoom in on what lets you get austerity.
Also, richness is possible in the Savage picture, you just have to stretch the definitions of “state,” “action,” and “consequence.” In terms of the functional relationship, the action is just the thing the agent gives you a preference ordering over, and the state is just the stuff that, together with action, gives you a consequence, and the consequences are any set at all. The state doesn’t have to be literally the state of the world, and the actions don’t have to be discrete, external actions.