Party Coalitions in Multiparty Parliaments: A Game-Theoretic Analysis*

Lawrence C. Dodd

American Political Science Review, 1974, vol. 68, issue 3, 1093-1117

Abstract: This study focuses on A. Lawrence Lowell's classic thesis that a parliamentary democracy must possess a majority party system if durable cabinets are to exist. The argument of this study is that majority party government is not essential to cabinet durability. Rather, in line with the British analyst W. L. Middleton as well as more contemporary game-theoreticians, the critical factor is held to be the coalitional status of the cabinet: (1) cabinets of minimum winning status should be durable; as cabinets depart from minimum winning status, cabinet durability decreases; (2) the coalitional status of the cabinet that forms is partially a product of party system fractionalization, instability, and polarization. Hypotheses derived from the theory are tested with data drawn from 17 Western parliamentary democracies, from 1918 to 1940 and from 1945 to 1970. The findings generally support the theory. A key to durable government is the minimum winning status of the cabinet. Minimum winning cabinets are possible in multiparty and majority party systems.

Date: 1974
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