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

Published online by Cambridge University Press:  01 August 2014

Lawrence C. Dodd
Affiliation:
University of Texas, Austin

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.

Type
Research Article
Copyright
Copyright © American Political Science Association 1974

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References

1 Lowell, A. Lawrence, Governments and Parties in Continental Europe (Boston: The Riverside Press, 1896), I, 70, 73Google Scholar; see also Lowell, , The Governments of France, Italy and Germany (Cambridge: Harvard University Press, 1914), pp. 7074CrossRefGoogle Scholar.

2 Bryce, James, Modern Democracies (New York: Macmillan Company, 1921), I and II, 121–122, 347348Google Scholar; Laski, Harold J., Parliamentary Government in England (New York: The Viking Press, 1938), pp. 5657Google Scholar; Hermens, Ferdinand A., Democracy or Anarchy? (Notre Dame: University of Notre Dame Press, 1941), pp. 16–17, 68–69, 7274Google Scholar; and Duverger, Maurice, Political Parties (London: Methuen Press, 1951)Google Scholar.

3 Duverger, pp. 407–408.

4 Blondel, Jean, “Party Systems and Patterns of Government in Western Democracies,” Canadian Journal of Political Science, 1 (June, 1968), 198199CrossRefGoogle Scholar.

5 Blondel, Jean, An Introduction to Comparative Government (New York: Praeger Publishers, 1969), p. 342Google Scholar.

6 For a recent study in this vein see Taylor, Michael and Herman, V. M., “Party Systems and Governmental Stability,” American Political Science Review, 65 (March, 1971), 2837CrossRefGoogle Scholar.

7 Duverger, p. 400.

8 The cabinet data analyzed in this study were collected under the auspices of the Minnesota Historical Data Archives. The Archives are directed by William H. Flanigan and Edwin Fogelman under a grant from the Ford Foundation. The data were collected by Ilia Miscoll, currently at the University of Heidelberg (Germany), and by the author. I am grateful to Flanigan and Fogelman for allowing me access to the data, and I owe a huge debt to Ilia Miscoll for her patience and precision. The original sources from which the cabinet data were collected include literally hundreds of scholarly works and newspapers that cannot be cited here. Every attempt was made to verify all data by at least two sources. And, while most of our research was conducted prior to its availability, a useful work for our verification process was von Beyme, Klaus, Die parlamentarischen Regierungssysteme in Europa (Munchen: R. Piper and Co., 1970), pp. 901967Google Scholar.

The party system data were gathered by the author, relying basically on a series of specialized country documents as well as Keesing's Contemporary Archives (London: Keesing's Publication, 19451972)Google Scholar; Sternberger, Dolf and Nohlen, Dieter, Die Wahl der Parlamente (Berlin: Walter De Gruyter and Co., 1969)Google Scholar; Rokkan, Stein and Meyriat, Jean, International Guide to Electoral Statistics (The Hague: Mouton, 1969)Google Scholar.

9 On the nature of parliamentary democracy see Ameller, Michael, Parliaments: A Comparative Study (London: Cossell and Company, Ltd., 1966)Google Scholar; Campion, C. M. F. and Liddendale, D. W. S., European Parliamentary Procedure: A Comparative Handbook (London: George Allen and Unwin, Ltd., 1953)Google Scholar; Friedrich, Carl J., Constitutional Government and. Democracy (Boston: Ginn and Company, 1950), pp. 222–237, 296386Google Scholar.

10 For discussion of party behavior in the various countries, see Sharp, Walter Rice, The Government of the French Republic (New York: D. Van Nostrand Co., Inc., 1938), pp. 7377Google Scholar; Groennings, Sven, “Patterns, Strategies and Payoffs in Norwegian Coalition Formation,” in The Study of Coalition Behavior, ed. Groennings, Sven, Kelly, E. W., and Leiserson, Michael (New York: Holt, Rinehart and Winston, Inc., 1970)Google Scholar; Peter H. Merkl, “Coalition Politics in West Germany,” in Groennings et al., The Study of Coalition Behavior; Secher, Herbert P., “Coalition Government: The Case of the Second Austrian Republic,” American Political Science Review, 52 (September, 1958), 791808CrossRefGoogle Scholar; MacRae, Duncan Jr.,, Parliament, Parties and Society in France, 1946–1958 (New York: St. Martin's Press, 1967)Google Scholar; Galli, Giorgio and Prandi, Alfonso, Patterns of Political Participation in Italy (New Haven: Yale University Press, 1970)Google Scholar; Rustow, Dankwart K., The Politics of Compromise: A Study of Parties and Cabinet Government in Sweden (Princeton, N.J.: Princeton University Press, 1956)Google Scholar. See also the various essays in Dahl, Robert A., ed., Political Oppositions in Western Democracies (New Haven: Yale University Press, 1966)Google Scholar. For more general discussions, see Duverger, , Political Parties, pp. 281351Google Scholar; Sven Groennings, “Notes Toward Theories of Coalition Behavior in Multiparty Systems: Formation and Maintenance,” in Groennings et al., The Study of Coalition Behavior.

11 This study will not attempt to include in the analysis the influence of any procedures specific to particular parliaments although such procedures can certainly have a vital influence on cabinet formation and maintenance. For examples, see Loe-wenberg, Gerhard, Parliament in the German Political System (Ithaca, N.Y.: Cornell University Press, 1966)Google Scholar. A systematic cross-national analysis of the nature and consequences of parliamentary procedure is clearly needed by analysts of cabinet behavior. For a recent study of the actual distribution of ministerial positions among cabinet parties see Browne, Eric C. and Franklin, Mark N., “Aspects of Coalition Payoffs in European Parliamentary Democracies,” American Political Science Review, 68 (June, 1973), 453469CrossRefGoogle Scholar.

12 Essentially, the thesis, results from the convergence of two schools of analysis. The first school is that represented by Lowell, Blondel, Taylor-Herman, Giovanni Sartori, and others; this school emphasizes the influence of the parliamentary party system on cabinet durability. The second school includes von Neumann and Morgenstern, Riker, Leiserson, Axelrod, Browne, Groennings, and others; some of these scholars were instrumental in developing game-theoretic models, while others have emphasized the potential utility of game-theoretic models in the study of multiparty parliaments. The present study synthesizes the theses of these two schools into a broader theory of cabinet formation and maintenance in multiparty settings. See Jean Blondel, “Party Systems”; A. Lawrence Lowell, Governments and Parties in Continentall Europe; Taylor and Herman, “Party Systems and Governmental Stability”; Sartori, Giovanni, “European Political Parties: The Case of Polarized Pluralism,” in Political Parties and Political Development, ed. LaPalombara, Joseph and Weiner, Myron (Princeton, N.J.: Princeton University Press, 1966)Google Scholar; von Neumann, John and Morgenstern, Oskar, The Theory of Games and Economic Behavior (Princeton: Princeton University Press, 1944)Google Scholar; Luce, R. Duncan and Raiffa, Howard, Games and Decisions (New York: John Wiley, 1957)Google Scholar; Riker, William H., The Theory of Political Coalitions (New Haven: Yale University Press, 1962)Google Scholar; Leiserson, Michael, “Factions and Coalitions in One-Party Japan: An Interpretation Based on the Theory of Games,” American Political Science Review, 62 (September, 1968) 770—787CrossRefGoogle Scholar; Axelrod, Robert, Conflict of Interest (Chicago: Markham, 1970)Google Scholar; Browne, Eric C., “Testing Theories of Coalition Formation in the European Context,” Comparative Political Studies, 3 (January, 1971), 115CrossRefGoogle Scholar; see also the various articles in Groennings et al., The Study of Coalition Behavior.

13 See Duverger, , Political Parties, pp. 61132Google Scholar; Epstein, Leon D., Political Parties in Western Democracies (New York: Praeger Pub., 1967), pp. 98129Google Scholar; Sorauf, Frank J., Party Politics in America (Boston: Little, Brown and Co., 1968), pp. 8292Google Scholar. At a more theoretical level see particularly Norman Frolich, Oppenheimer, Joe A. and Young, Oran R., Political Leadership and Collective Goods (Princeton, N.J.: Princeton University Press, 1971)Google Scholar.

14 These are general assumptions shared with numerous analysts. See for example Downs, Anthony, An Economic Theory of Democracy (New York: Harper and Row, 1957), pp. 21–35, 142163Google Scholar; Sjoblom, Gunnar, Party Strategies in a Multiparty System (Sweden: Lund, 1968), pp. 68–95, 250279Google Scholar.

15 Middleton, W. L., The French Political System (London: Ernest Benn, Ltd., 1932), p. 154Google Scholar.

16 Middleton, pp. 107–108.

17 This point is made clearly by Bracher:

The cabinet crises which plagued the German Republic throughout its life were the direct consequences of the nature of German political parties, their unwillingness to form coalitions and to compromise, their rigid ideological stance, their preoccupation with prestige, and their authoritarian tradition.

This was the price paid for the partly forced, partly voluntary rejection of parliament and parties during the monarchy, a policy whose negative aspects were pinpointed very clearly by Max Weber … (who) insisted that the absence of a two-party system was not the obstacle: “Far more important is another difficulty: parliamentary government is possible only if the largest parties of the parliament are in principle on the whole ready to take over the responsible conduct of state …”

See Bracher, Karl Dietrich, The German Dictatorship: The Origin, Structure and Effects of National Socialism (New York: Praeger Publishers, 1970), p. 78Google Scholar.

18 Riker, , The Theory of Political Coalitions, pp. 7789Google Scholar.

19 For discussions of the nature of empirical interpretation see Holt, Robert T. and Richardson, John M., “Competing Paradigms in Comparative Politics,” The Methodology of Comparative Research ed. Holt, Robert T. and Turner, John E. (New York: The Free Press, 1970), p. 25Google Scholar; Hempel, Carl G., Aspects of Scientific Explanation (New York: The Free Press, 1965), pp. 111–112, 130–133, 184185Google Scholar; Kemeny, John G., A Philosopher Looks at Science (Princeton, N.J.: Van Nostrand and Co., Inc., 1959), pp. 134138Google Scholar; Kuhn, Thomas, The Structure of Scientific Revolutions (Chicago: University of Chicago Press, 1962), pp. 3040Google Scholar. For a more general discussion of the relation of empirical and theoretical analysis in comparative politics see Bill, James A. and Hardgrave, Robert, Comparative Politics: The Quest for Theory (Columbus, Ohio: Charles E. Merrill Pub. Co., 1973), pp. 141Google Scholar. An excellent example of theory interpretation and testing is contained in Norman Frolich, Joe Oppenheimer, Jeffrey Smith and Oran Young, “Rationality and Voting,” a paper prepared for the Public Choice Society Meetings, New Haven, Connecticut, March 21–23, 1974.

20 See Wildgen, John K., “The Measurement of Hyperfractionalization,” Comparative Political Studies, 4 (July, 1971), 233243CrossRefGoogle Scholar. This measure is associated with information theory, particularly the concept of entropy or, as Galtung presents it, “uncertainty.” See Shannon, Claude E. and Weaver, Warren, The Mathematical Theory of Communication (Urbana: University of Illinois Press, 1959)Google Scholar; Galtung, John, Theory and Methods of Social Research (New York: Columbia University Press, 1967)Google Scholar; Theil, Henri, Economics and Information Theory (Chicago: Rand McNally, 1967)Google Scholar.

21 See Rae, Douglas, The Political Consequences of Electoral Laws (New Haven: Yale University Press, 1967)Google Scholar; Taylor and Herman, “Party Systems and Governmental Stability”; Wildgen, , “The Measurement of Hyperfractionalization,” p. 236Google Scholar. For other approaches see Pride, Richard A., “Origins of Democracy,” in Sage Professional Papers in Comparative Politics, ed. Eckstein, Harry and Gurr, Ted Robert, 1 (No. 12, 1970), p. 708Google Scholar; Mayer, Lawrence S., “An Analysis of Measures of Crosscutting and Fragmentation,” Comparative Politics, 4 (April, 1972)CrossRefGoogle Scholar.

22 This index is a variation on Przeworski and Sprague's measure of Party System Institutionalization. See Przeworski, Adam and Sprague, John, “Concepts in Search of Explicit Formulation: A Study in Measurement,” Midwest Journal of Political Science, 15 (May, 1971), 183218CrossRefGoogle Scholar.

23 See Lipset, Seymour Martin and Rokkan, Stein, “Cleavage Structures, Party Systems, and Voter Alignments: An Introduction,” in Party Systems and Voter Alignments: Cross-National Perspectives, ed. Lipset, and Rokkan, (New York: The Free Press, 1967)Google Scholar; Lipset, Seymour Martin, “Political Cleavages in ‘Developed’ and ‘Emerging’ Polities,” in Mass Politics: Studies in Political Sociology, ed. Allardt, Erik and Rokkan, Stein (New York: The Free Press, 1970)Google Scholar; Middleton, , French Political System, pp. 62133Google Scholar.

24 Similar interpretations are reflected in Bracher, The German Dictatorship; Groennings, , “Notes Toward Theories of Coalition Behavior in Multiparty Systems,” pp. 445465Google Scholar; Sartori, “European Political Parties” in LaPalombara and Weiner, Political Parties and Political Development.

25 This index is similar to the one used by Taylor, and Herman, in “Party Systems and Governmental Stability,” p. 34Google Scholar. Unlike Taylor and Herman, however, I have employed more than one cleavage dimension in my calculations. I do not maintain this measure is an optimal one. An exhaustive treatment of cleavage systems as constraints on party bargaining should include such elements as (1) the intensity of party conflict on cleavage dimensions; (2) the degree to which parties share similar relative positions on various cleavage dimensions (in other words, are cleavages cumulative or crosscutting); (3) differences between parties' intensity and their perceptions of cleavage conflict. These factors as well as party positions on cleavage dimensions should be incorporated eventually into an Index of Cleavage Conflict. For the present, data and measurement problems inhibit this. On some of the problems see Rae, Douglas W. and Taylor, Michael, The Analysis of Political Cleavages (New Haven: Yale University Press, 1970)Google Scholar.

26 Blondel, “Party Systems and Patterns of Government,” pp. 190–191; Taylor and Herman, “Party Systems and Governmental Stability,” p. 29.

27 This operational definition is not the only conceivable one that is consistent with the theory of cabinet durability outlined in this study. The key question is this: what constitutes a breakdown or change in a party coalition within the cabinet? A variety of answers can be given: (1) any alteration in the distribution of payoffs (ministerial seats) among parties could be viewed as a breakdown in the old coalition and the formation of a new one, even if the parties in the cabinet retained the same number of seats; (2) only “significant” alteration in payoff distribution could constitute a change; (3) only changes in the parties composing the cabinet could be viewed as a change in cabinet coalitional status. There is no easy way to choose among these approaches. My position is that the greater the number of defensible operational definitions that sustain the predictions of the theory, the more faith we can have in the theory. For the present, however, I am constrained by problems of data collection and verification. Consequently, in this study I have limited my definition to the third approach.

28 Sartori, , “European Political Parties: The Case of Polarized Pluralism,” pp. 137140Google Scholar.

29 Eckstein, Harry, Division and Cohesion in Democracy: A Study of Norway (Princeton, N.J.: Princeton University Press, 1966), pp. 38, 17–18Google Scholar.

30 Taylor, and Herman, , “Party Systems and Governmental Stability,” pp. 3235Google Scholar.

31 See Allardt, Erik and Rokkan, Stein, eds., Mass Politics (New York: The Free Press, 1970)Google Scholar; Lipset, Seymour M. and Rokkan, Stein, eds., Party Systems and Voter Alignments: Cross-National Perspectives (New York: The Free Press, 1967)Google Scholar; Rokkan, Stein, Citizens, Elections, Parties (New York: David McKay Company, 1970)Google Scholar; Dahl, Robert A., ed., Political Oppositions in Western Democracies (New Haven: Yale University Press, 1966)Google Scholar.

32 Middleton, , French Political System, pp. 151154Google Scholar. For relevant discussions on the nature of cabinet governments and their significance for the regime stability of parliamentary democracies, see Adams, W. G. S., “Has Parliamentary Government Failed?,” The Modern State, ed. Adams, Mary (New York: The Century Company, 1933)Google Scholar; Loewenberg, Gerhard, “The Influence of Parliamentary Behavior on Regime Stability,” Comparative Politics, 3 (Jan., 1971), 177179CrossRefGoogle Scholar; Fraenkel, Ernest, “Historical Handicaps of German Parliamentarianism,” The Road to Dictatorship, trans. Wilson, Lawrence (London: Oswald Wolff, 1964), pp. 2737Google Scholar; Dietrich-Bracker, Karl, “Problems of Parliamentary Democracy in Europe,” in Comparative Legislative Systems: A Reader in Theory and Research, ed. Hirsch, Herbert and Hancock, M. Donald (New York: The Free Press, 1971), pp. 343359Google Scholar; Shirir, William L., The Collapse of the Third Republic (New York: Simon and Schuster, 1969)Google Scholar; Ullman, Richard K. and SirKing-Hall, Stephen, German Parliaments: A Study of the Development of Representative Institutions in Germany (New York: Frederick A. Praeger, 1954), esp. pp. 8791Google Scholar; Williams, Philip M., Crisis and Compromise: Politics in the Fourth Republic (Hamden, Conn.: Archon Books, 1964)Google Scholar.

33 Lowell, , Governments and Parties, 73Google Scholar.