We consider repeated games with private monitoring that are “close” to repeated games with public/perfect monitoring. A private monitoring information structure is close to a public monitoring information structure when private signals can generate approximately the same distribution of the public signal once they are aggregated into a public signal by some public coordination device. A player’...

Motivated by the minimal tower problem, an earlier work studied diagonalizations of covers where the covers are related to linear quasiorders (τ -covers). We deal with two types of combinatorial questions which arise from this study. (1) Two new cardinals introduced in the topological study are expressed in terms of well known cardinals characteristics of the continuum. (2) We study the additiv...

The smallness of the neutrino masses may be related to inflation. The minimal supersymmetric Standard Model (MSSM) with small neutrino Yukawa couplings already has all the necessary ingredients for a successful inflation. In this model the inflaton is a gauge-invariant combination of the right-handed sneutrino, the slepton, and the Higgs field, which generate a flat direction suitable for infla...

Motivated by the minimal tower problem, an earlier work studied diagonalizations of covers where the covers are related to linear quasiorders (τ -covers). We deal with two types of combinatorial questions which arise from this study. 1. Two new cardinals introduced in the topological study are expressed in terms of well known cardinals characteristics of the continuum. 2. We study the additivit...

The leptonic mixing angle θ 13 is known to be small. If it is indeed tiny, the simplest explanation is that charged leptons mix only in the µ − τ sector and neutrinos only in the 1 − 2 sector. We show that this pattern may be explained by the discrete symmetry Z 2 × Z 2 of a complete Lagrangian, which has 2 Higgs doublets and 2 Higgs triplets (or 2 heavy right-handed singlet neutrinos). In the ...

constant venous flow. The waveforms were defined as abnormal if shifts in frequency at the end of diastole were absent in recordings obtained from three different points on the maternal abdomen. A sample offetal blood was taken from the umbilical vein by cordocentesis, and the oxygen tension and pH were determined (figure). The degree of fetal smallness was expressed as the number of standard d...

For an incomplete-information model of public-good provision with interim participation constraints, we show that e¢ cient outcomes can be approximated, with approximately full surplus extraction, when there are many agents and each agent is informationally small. The result holds even if agents’ payo¤s cannot be unambiguously inferred from their beliefs, i.e., even if the so-called BDP propert...

The geometric small property (Borho-MacPherson [BM]) of projective morphisms implies a description of their singularities in terms of intersection homology. In this paper we solve the smallness problem raised by Nakajima [N8, N6] for certain resolutions of quiver varieties [N8] (analogs of the Springer resolution) : for Kirillov-Reshetikhin modules of simply-laced quantum affine algebras, we ch...