The Copeland Method I; Relationships and the Dictionary

Vincent Merlin () and Donald G. Saari

No 1111, Discussion Papers from Northwestern University, Center for Mathematical Studies in Economics and Management Science

Abstract: A central political and decision science issue is to understand how election outcomes can change with the choice of a procedure or the slate of candidates. These questions are answered for the important Copeland method (CM) where, with a geometric approach, we characterize all relationships among the rankings of positional voting methods and the CM. Then, we characterize all ways CM rankings can vary as candidates enter or leave the election. In this manner new CM strengths and flaws are detected.

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