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The optimal size of a political party based on the Shapley-Shubik Power Index

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  • Maruyama, Yuuki

Abstract

Shapley-Shubik Power Index per person (SSPIPP) is defined as the ratio of a political party's Shapley-Shubik Power Index in Parliament to the number of people who voted for the party. SSPIPP can be regarded as the political power each of them has. This model reveals the relationship between the party size and SSPIPP and shows it in a graph. The graph is M-shaped and reveals the optimal party size that maximizes SSPIPP. According to this model, the more votes required to pass bills in Parliament, the smaller the optimal party size becomes. This model also predicts that in countries which require a supermajority vote to pass bills, party system fragmentation tends to last long.

Suggested Citation

  • Maruyama, Yuuki, 2019. "The optimal size of a political party based on the Shapley-Shubik Power Index," SocArXiv b9ey2, Center for Open Science.
    • Handle: RePEc:osf:socarx:b9ey2
    DOI: 10.31219/osf.io/b9ey2
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