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...

Arrow's Impossibility Theorem is commonly understood to invoke a dictatorship that is somehow lurking within our voting arrangements. A well-recognized statement of the theorem is that "any constitution that respects transitivity, independence of irrelevant alternatives and unanimity is a...

The death of welfare economics has been declared several times. One of the reasons cited for these plural obituaries is that Kenneth Arrow's impossibility theorem, as set out in his path-breaking Social Choice and Individual Values in 1951, has shown that the social welfare function - one of the...

We search for impartiality in the allocation of objects when monetary transfers are not possible. Our main focus is anonymity. The standard definition requires that if agents' names are permuted, their assignments should be permuted in the same way. Since no rule satisfies this definition in...

In this paper the concepts of manipulation as strategic voting (misrepresentation of true preferences) and strategic nomination (by adding, or removing alternatives) are investigated. The connection between Arrow’s and Gibbard-Satterthwaite theorems is discussed from the viewpoint of dilemma...