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A General Equilibrium Model of Multi-Party Competition

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Abstract

The paper introduces a generalized spatial model that is motivated by the frequent changes in party identity and electoral laws that characterize transitional party systems. In this model, parties may (1) change their platforms, (2) their identities through coalitions and splits and (3) if they form a winning coalition, the electoral law. The equilibrium is defined as a state such that no party or coalition can strictly benefit from changing the electoral law, its platform, or from splitting or coalescing. The results show that while there are games with no institutional or coalitional-split equilibria, such equilibria do exist under relatively undemanding conditions. The main finding is that once an institutional and identity equilibrium is achieved, it is generically robust against small trembles in party platforms or voter preferences. This robustness facilitates greater stability in terms of institutions and party identities in mature party systems where such trembles are smaller than in transitional systems.

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References

  • Austen-Smith D, Banks JS (1999) Positive political theory 1 Collective preference. The University of Michigan Press, Ann Arbor

    Google Scholar 

  • Calvert RL (1986) Models of imperfect information in politics. Harwood Academic Publishers, Chur

    Google Scholar 

  • Chwe M (1994) Farsighted coalitional stability. J Econ Theory 63:299–325

    Article  Google Scholar 

  • Coughlin P, Nitzan S (1981) Directional and local electoral equilibria with probabilistic voting. J Econ Theory 24:226–240

    Article  Google Scholar 

  • Coughlin P (1992) Probabilistic voting theory. Cambridge University Press, New York

    Google Scholar 

  • Cox G (1987a) Electoral equilibrium under alternative voting institutions. Am J Polit Sci 31:82–108

    Article  Google Scholar 

  • Cox G (1987b) The uncovered set and the core. Am J Polit Sci 31:408–422

    Article  Google Scholar 

  • Cox GW (1990) Multicandidate spatial competition in advances in the spatial theory of voting. In: Enelow JM, Hinich MJ (eds) Cambridge University Press, Cambridge

  • Davis OA, DeGroot MH, Hinich MJ (1972) Social preference orderings and majority rule. Econometrica 40:147–157

    Article  Google Scholar 

  • Downs A (1957) An economic theory of democracy. Harper, New York

    Google Scholar 

  • Eaton BC, Lipsey R (1975) The principle of minimum differentiation reconsidered: some new developments in the theory of spatial competition. Rev Econ Stud 42:27–50

    Article  Google Scholar 

  • Enelow JM, Hinich MJ (1984) The spatial theory of voting: an introduction. Cambridge University Press, Cambridge

    Google Scholar 

  • Enelow JM, Hinich MJ (eds) (1990) Advances in the spatial theory of voting. Cambridge University Press, Cambridge

    Google Scholar 

  • Ferejohn JA, McKelvey RD, Packel EW (1984) Limiting distributions for continuous state markov voting models. Social Choice Welf 1:45–67

    Article  Google Scholar 

  • Filippov MG, Ordeshook PC, Shvetsova OV (1999) Party fragmentation and presidential elections in post-communist democracies. Const Polit Econ 3–26

  • Geddes B (1996) Initiation of new democratic institutions in Eastern Europe and Latin America in Institutional Design in New Democracies. Eastern Europe and Latin America. In: Lijphart A, Waisman CH (eds) Westview Press, Boulder

  • Grofman B, Mikkel E, and Taagepera R (1999) Electoral systems change in Estonia, 1989–1993. J Baltic Stud 30:227–49

    Google Scholar 

  • Grofman B, Mikkel E, Taagepera R (2000) Fission and fusion of parties in Estonia, 1987–1999. J Baltic Stud 31:329–357

    Google Scholar 

  • Hinich MJ, Munger MC (1997) Analytical politics. Cambridge University Press, Cambridge

    Google Scholar 

  • Kaminski MM (2001) Coalitional stability of multi-party systems: evidence from Poland. Am J Polit Sci 45:294–312

    Article  Google Scholar 

  • Kaminski MM (2002) Do parties benefit from electoral manipulation? Electoral laws and Heresthetics in Poland, 1989–1993. J Theoret Polit 14:325–359

    Article  Google Scholar 

  • Kaminski MM, Lissowski G, Swistak P (1998) The “revival of communism” or the effect of institutions? The 1993 Polish parliamentary elections. Public Choice 97:429–449

    Article  Google Scholar 

  • Kopecky P (1995) Factionalism in parliamentary parties in the Czech Republic: a concept and some empirical findings. Democratization 2:138–151

    Google Scholar 

  • Kramer G (1973) On a class of equilibrium conditions for majority rule. Econometrica 41: 285–297

    Article  Google Scholar 

  • Lomax B (1995) Factions and factionalism in Hungary’s new party system. Democratization 2:125–137

    Google Scholar 

  • McKelvey RD, Schofield NJ (1987) Generalized symmetry conditions at a core point. Econometrica 55:923–934

    Article  Google Scholar 

  • Miller N (1980) A new solution set for tournaments and majority voting. Am J Polit Sci 24:68–96

    Article  Google Scholar 

  • Miller NR (1995) Committees, agendas, and voting. Harwood Academic Publishers, Chur

    Google Scholar 

  • Moraski B, Loewenberg G (1999) The effect of legal thresholds on the revival of former communist parties in East-Central Europe. J Polit 61: 151–170

    Article  Google Scholar 

  • Moser RG (2001) Unexpected outcomes. Electoral systems, political parties, and representation in Russia. University of Pittsburgh Press, Pittsburgh

    Google Scholar 

  • Ordeshook PC (1986) Game theory and political theory. Cambridge University Press, Cambridge

    Google Scholar 

  • Plott CW (1967) A notion of equilibrium and its possibility under majority rule. Am Econ Rev 57:787–806

    Google Scholar 

  • Remington TF, Smith SS (1996) Political goals, institutional context, and the choice of an electoral system: the Russian parliamentary election law. Am J Polit Sci 40:1253–1279

    Article  Google Scholar 

  • Rosenthal RW (1972) Cooperative games in effectiveness form. J Econ Theory 5:88–101

    Article  Google Scholar 

  • Schofield NJ (1985) Social choice and democracy. Springer, Berlin Heidelberg Newyork

    Google Scholar 

  • Schofield N (1993) Political competition and multiparty coalition governments. Eur J Polit Res 23:1–33

    Article  Google Scholar 

  • Schofield N, Sened I (1997) A general equilibrium approach to the study of multiparty electoral systems. Typesrcipt, Washington University in St. Louis

  • Shaked A (1975) Non-existence of equilibrium for the two-dimensional three-firms location problem. Rev Econ Stud 42:51–56

    Article  Google Scholar 

  • Shepsle KA (1979) Institutional arrangements and equilibrium in multidimensional voting models. Am J Polit Sci 23:27–60

    Article  Google Scholar 

  • Shepsle KA (1991) Models of multiparty electoral competition. Harwood Academic Publishers, London

    Google Scholar 

  • Shepsle K, Weingast B (1981) Structure induced equilibrium and legislative choice. Public Choice 37:503–519

    Article  Google Scholar 

  • Waller M (1995) Making and breaking: factions in the process of party formation in Bulgaria. Democratization 2:152–167

    Google Scholar 

  • Wyniki glosowania nr 75 - posiedzenie 103 (2001) Sejm: Warsaw: http://orka.sejm.pl

  • Wyniki symulacji (2001) in Rzeczpospolita 05/02: Warsaw

  • Zdort MD (1997) ROP z AWS o wyborach in Rzeczpospolita 06/11: Warszawa

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Correspondence to Marek M. Kaminski.

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Kaminski, M.M. A General Equilibrium Model of Multi-Party Competition. Soc Choice Welfare 26, 333–361 (2006). https://doi.org/10.1007/s00355-006-0095-1

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