The set of equilibria of first-price auctions

In this note I show that pratically any increasing function is the equilibrium bidding function of a symmetric first-price auction. It is like a Sonnenschein-Mantel-Debreu for auctionsfirst-price

Enriching Information to Prevent Bank Runs

Sequential service in the banking sector, as modeled by Diamondand Dybvig (1983), is a barrier to full insurance and potential source offinancial fragility against which deposit insurance is infeasible (Wallace,1988). In this paper, we pursue a different perspective, viewingthe sequence of contacts as opportunities to extract informationthrough a larger message space with commitment to richer promises.As we show, if preferences satisfy a separating property then the desiredelimination of dominated strategies (Green and Lin, 2003) occurseven when shocks are correlated. In this manner the sequential servicepromotes stability.

Existence, continuity and utility representation of strictly monotonic preferences on continuum of goods commodity spaces

It is an easy task for most commodity spaces, to find examples of strictly monotonic preference relations. For example, in the space of bounded sequences of real numbers.. However, it is not easy for spaces like the space of bounded functions defined in the real interval [0, 1]. In this note we investigate the roots of this difficulty. We show that strictly monotonic preferences on the space of bounded function on any set K always exist. However, if K is uncountable no such preference is continuous and none of them have a utility representation.utility representation/ strictly monotonic preferences