This paper compares binary versions of two well−known preference aggregation methods designed to overcome problems occurring from voting cycles, Copeland’s (1951) and Dodgson’s (1876) method. In particular it will first be shown that the Copeland winner can occur at any position in the Dodgson ranking. Second, it will be proved that for some list of individual preferences over the set of altern...

After we finished our sandwiches in the car, Cheryl Doby-Copeland and I quickly made way to front of museum. We figured would be among first there, so were disappointed when w...

It was proved by Champernowne [2] that the decimal . 1234567891011 . . . is normal, and by Besicovitch [11 that the same holds for the decimal . 1491625 . . . . Copeland and Erdös [3] have proved that if p i, P2 . . . . is any sequence of positive integers such that, for every 0 < 1, the number of p's up to n exceeds nB if n is sufficiently large, then the infinite decimal •p ip 2p 3 . . . is n...

DISEASE MUTATIONS IN THE HUMAN MITOCHONDRIAL DNA POLYMERASE THUMB SUBDOMAIN IMPART SEVERE DEFECTS IN MtDNA REPLICATION Rajesh Kasiviswanathan, Matthew J. Longley, Sherine S. L. Chan, and William C. Copeland* From the Laboratory of Molecular Genetics, National Institute of Environmental Health Sciences, National Institutes of Health, Research Triangle Park, NC 27709 Running Title: Mitochondrial ...

We provide exact relations giving the probability of individual and coalitional manipulation of three specific social choice functions (Borda rule, Copeland rule, Plurality rule) in three-alternative elections when the notion of self-selectivity is imposed. The results suggest that the Borda rule is more vulnerable to coalitional manipulation than the Copeland rule and the Plurality rule. Howev...