This survey paper prepared for the Handbook of Utility Theory covers the axiomatic foundations of decision making under uncertainty when conditional preferences are allowed to be state dependent, leading to an expected state-dependent utility representation. In the context of games against...

Conditional Expected Utility Theory (CEUT) provides an axiomatic foundation for a theory of decision under uncertainty which allows agents to choose which event in the state space will occur. Here we provide an alternative axiomatization of this situation. In this framework CEUT may be seen a...