Candidate success in multi-member districts: an investigation of Duverger and Cox
Cox generalizes Duverger’s Law to multi-member district elections. He posits that the number of viable candidates in any individual district is limited by an upper bound of M 1 1 (where M is equal to the district magnitude). I extend Cox’s theory to elections held under the single transferable vote in Irish and Tasmanian elections. I do so by examining the renomination, vote share and success rates of candidates as compared to each candidate’s order of finish in the previous election. The results generally support Cox’s hypothesized M 1 1 boundary.
Jesse, Neal G., "Candidate success in multi-member districts: an investigation of Duverger and Cox" (1999). Political Science Faculty Publications. 30.