Abstract
Axelrod (1970) introduced the idea of connected coalitions in one dimension. Grofman (1982) provided a straightforward generalization of that idea to the multidimensional case and offered a multistage model of protocoalition formation in an m-dimensional ideological space which gave rise to the prediction of a unique m-connected winning coalition.
This research was supported by NSF Grant SES-85-06376, Decision and Management Sciences, to the first-named author. We are indebted to Dorothy Gormick for bibliographic assistance. We are especially indebted to Amnon Rapoport for making the raw data of his Israeli study available to us. An earlier version of this paper was presented at the Conference on European Cabinet Coalition Formation, European University Institute, Fiesole, Italy, May 24–29, 1987.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Aumann, R. J. and M. Maschler. 1964. “The Bargaining Set for Cooperative Games,” Annals of Mathematical Studies 52: 443–476.
Axelrod, R. 1970. Conflict of Interest: A Theory of Divergent Goals with Applications to Politics. Chicago: Markham.
DeSwaan, A. 1973. Coalition Theories and Cabinet Formation: A Study of Formal Theories of Coalition Formation as Applied to Nine European Parliaments after 1918. Amsterdam: Elsevier.
Feld, S. L. and B. Grofman 1988. “Majority Rule Outcomes and the Structure of Debate in One-Issue-at-a-Time Decision Making,” Public Choice 59: 239–252.
Converse, P. E. and H. Valen. 1971. “Dimensions of Change and Perceived Party Distances in Norwegian Voting,” Scandinavian Political Studies 4: 107–151.
Grofman, B. 1982. “A Dynamic Model of Proto-Coalition Formation in Ideological N—Space, ” Behavioral Science 27: 77–90.
McKelvey, R., P. Ordeshook, and M. Winer. 1978. “The Competitive Solution for N-person Games with Transferable Utility with an Application to Committee Games,” American Political Science Review 72: 599–615.
Ordeshook, P. C. and M. Winer. 1980. “Coalitions and Spatial Policy Outcomes in Parliamentary Systems: Some Experimental Results,” American Journal of Political Science 24: 730–752.
Peleg, B. 1981. “Coalition Formation in Simple Games with Dominant Players,” International Journal of Game Theory 10: 11–33.
Rapoport, A. and E. Weg. 1986. “Dominated, Connected, and Tight Coalitions in the Israeli Knesset,” American Journal of Political Science 30: 577–596.
Rapoport, A. and E. Golan. 1985. “Assessment of Political Power in the Israeli Knessett,” American Political Science Review 79: 673–692.
Riker, W. H. 1962. The Theory of Political Coalitions. New Haven: Yale University Press.
Rusk, J.G. and O. Borre. 1976. “The Changing Party Space in Danish Voter Perceptions, 1971–73,” in Party Identification and Beyond, I. Budge, I. Crewe and D. Fairlie, eds. New York: Wiley.
Schofield, N. 1976. “The Kernel and Payoffs to European Government Coalitions,” Public Choice 26: 29–51.
Shepsle, K.A. 1979. “Institutional Arrangements and Equilibrium in Multidimensional Voting Models,” American Journal of Political Science 23: 27–59.
Straffin, P. and B. Grofman. 1984. “Parliamentary Coalitions: A Tour of Models,” Mathematics Magazine 57: 259–274.
Winer, M. 1979. “Cabinet Coalition Formation: A Game-Theoretic Analysis,” in Applied Game Theory, S. Brams, A. Schotter, and G. Schwodiauer, eds. Vienna: Physica-Verlag.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer Science+Business Media New York
About this chapter
Cite this chapter
Grofman, B., Straffin, P., Noviello, N. (1996). The Sequential Dynamics of Cabinet Formation, Stochastic Error, and a Test of Competing Models. In: Schofield, N. (eds) Collective Decision-Making: Social Choice and Political Economy. Recent Economic Thought Series, vol 50. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8767-9_13
Download citation
DOI: https://doi.org/10.1007/978-94-015-8767-9_13
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5800-3
Online ISBN: 978-94-015-8767-9
eBook Packages: Springer Book Archive