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1993. Voting behavior under the directional spatial model of electoral competition. Public Choice 77:739–56 Merrill S III, Adams J. 2001. Computing Nash equilibria in probabilistic, multiparty spatial models with non-policy components. Polit. Analysis 9:347–61 Merrill III, Grofman B. 1997a. Directional and proximity models of voter utility and choice: a new synthesis and an illustrative test of competing models. J. Theor. Polit. 9(1):25– 48 Merrill S III, Grofman B. 1997b. Modeling large electorates with Fourier series: with applications to Nash equilibria in proximity and directional models of spatial competition.

Sci. 1:467–77 MacDonald SE, Listhaug O, Rabinowitz G. 1991. Issues and party support in multiparty systems. Am. Polit. Sci. Rev. 85:1107–31 MacDonald SE, Rabinowitz G. 1998. Solving the paradox of nonconvergence—valence, position and direction in democratic politics. Elect. Stud. 17(3):281–300 Markus BG, Converse PE. 1979. A dynamic simultaneous equation model of electoral choice. Am. Polit. Sci. Rev. 73:1055–70 McGann AJ. 2002. The advantages of ideological cohesion: a model of constituency representation and electoral competition in multiparty democracies.

Senate, 1960–84. In Developments in Electoral Geography, ed. RJ Johnston, FM Shelley, PJ Taylor, pp. 207– 17. London: Routledge Grofman B, Koetzle W, McDonald M, Brunell T. 2000. A new look at split ticket voting for house and president: the comparative midpoints model. J. Polit. 62(1):34–50 Grofman B, Koetzle W, Merrill S, Brunell T. 2001. S. House of Representatives, 1963–1996. Public Choice 106(3–4):221– 32 Groseclose T. 2001. A model of candidate locations when one candidate has a valence advantage.

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