Abstract

The axiomatic foundations of Bentham and Rawls solutions are discussed within the broader domain of cardinal preferences. It is unveiled that both solution concepts share all four of the following axioms: _Nonemptiness_, _Anonymity_, _Unanimity_, and _Continuity_. In order to fully characterize the Bentham and Rawls solutions, three variations of a _consistency criterion_ are introduced and their compatibility with the other axioms is assessed. Each expression of consistency can be interpreted as a property of decision-making in risky or uncertain environments.