Tom Erbe Interviewed by Theodore Gordon

Partitioning General Probability Measures' by Theodore

Georgia Institute of Technology Suppose l,..., An are probability measures on the same measurable space (2, Y). Then if all atoms of each Ai have mass a or less, there is a measurable partition Al,..., An of 2 so that pxi(Ai) 2 Vn(a) for all i = 1, ..., n, where Vn(.) is an explicitly given piecewise linear nonincreasing continuous function on [0,1]. Moreover, the bound Vn(a) is attained for al...

Map Folding by Tom Morgan

The idea of the ray diagram was introduced by David Charlton, and further elaborated by Yoyo Zhou, in the context of an open problem session held as part of an MIT class 6.885 on Geometric Folding Algorithms in Fall 2007. I thank the participants of that open problem session for helpful early discussions about 2 × n map folding. I would also like to thank Eric Liu for his close help in the earl...

Tom.

Preliminary Draft Government by Jury by Theodore C . Bergstrom Hal

We consider a simple model of social choice where the voters find it costly to determine their true preferences. Since the influence of an individual voter decreases as the group size increases, each individual finds it optimal to invest less time in contemplating his values in larger groups than in smaller groups. This suggests that a desirable social choice mechanism might be to randomly choo...

Theodore William Richards