The Brazilian social security program:diagnosis and proposal for reform

The Brazilian pay-as-you-go social security program is analyzed in a historical perspective. Its contribution to income inequality, and the role played by the inflation as a balancing variable are discussed. It is shown that budgetary constraints due to the increasing informalization of the labor force can no longer be reconciled with protligate eligibility criteria. A tailor-made proposal for reform is presented as well as a plan for financing the transition from today's system to the proposed one.

Abstract types and distributions in independent private value auctions

In this note, in an independent private values auction framework, I discuss the relationship between the set of types and the distribution of types. I show that any set of types, finite dimensional or not, can be extended to a larger set of types preserving incentive compatibility constraints, expected revenue and bidder’s expected utilities. Thus for example we may convexify a set of types making our model amenable to the large body of theory in economics and mathematics that relies on convexity assumptions. An interesting application of this extension procedure is to show that although revenue equivalence is not valid in general if the set of types is not convex these mechanism have underlying distinct allocation mechanism in the extension. Thus we recover in these situations the revenue equivalence.