Consider an agent who faces a sequential decision problem. At each stage the agent takes an action and observes a stochastic outcome e.g., daily prices, weather conditions, opponents’ actions in a repeated game, etc. The agent’s stage-utility depends on his action, the observed outcome and...

In Ellsberg paradox, decision makers that are partially informed about the actual probability distribution violate the expected utility paradigm. This paper develops a theory of decision making with a partially specified probability. The paper takes an axiomatic approach using Anscombe-Aumann's...