The problem of social choice is studied on a domain with countably many individuals. In contrast to most of the existing literature which establish either non-constructive possibilities or approximate (i.e. invisible) dictators, we show that if one adds a continuity property to the usual set of...

The central formula in asset pricing relates the price of an Arrow-Debreu security to an investor's preferences and beliefs: Price of an Arrow-Debreu security = Preferences Beliefs. We observe the prices of Arrow-Debreu securities in the option markets. But we do not directly observe the extent...

This chapter briefly reviews the present state of judgment aggregation theory and tentatively suggests a future direction for that theory. In the review, we start by emphasizing the difference between the doctrinal paradox and the discursive dilemma, two idealized examples which classically...

In this paper we provide Impossibility Theorems for social welfare functionals. We adapt the method of proving the inevitability of dictatorial Bergson-Samuelson social welfare functions for fixed utility profiles developed in a paper by Robert P. Parks in 1976. With a little more from results...

I build a model to make a key point that social welfare functions that only rely on individual utility (or individual preference orderings) still may reflect what people typically think of as a non-welfarist approach, further suggesting that non-welfarist methods (e.g., paternalistic methods)...