This chapter reviews developments in the theory of decision making under risk and uncertainty, focusing on models that, over the last 40 years, dominated the theoretical discussions. It also surveys some implications of the departures from the “linearity in the probabilities” aspect of...

This paper presents a complete, choice-based, axiomatic Bayesian decision theory. It introduces a new choice set consisting of information-contingent plans for choosing actions and bets and subjective expected utility model with effect-dependent utility functions and action-dependent subjective...

This chapter provides a critical review of the theories of decision making under risk and under uncertainty and the notion of choice-based subjective probabilities. It includes formal statements and discussions of the various models, including their analytical frameworks, the corresponding...