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Double-interval societies
Consider a society of voters, each of whom specify an approval set over a linear political spectrum. We examine double-interval societies, in which each person's approval set is represented by two
Third and Fourth Binomial Coefficients
This Article is brought to you for free and open access by the HMC Faculty Scholarship at Scholarship @ Claremont. It has been accepted for inclusionin All HMC Faculty Publications and Research by an
Combinatorics of Two-Toned Tilings
We introduce the function a(r, n) which counts tilings of length n+ r that utilize white tiles (whose lengths can vary between 1 and n) and r identical red squares. These tilings are called two-toned
Thir d and Fourth Binomial Coeffic ients
This Article is brought to you for free and open access by the HMC Faculty Scholarship at Scholarship @ Claremont. It has been accepted for inclusionin All HMC Faculty Publications and Research by an
Approval Ratios of Double-Interval Societies
If each convex set represents an interval of political positions on a spectrum that a voter approves of, then Helly’s theorem establishes a necessary and sufficient condition to guarantee that some