Conceptualizing voter choice for directional and discounting models of two-candidate spatial competition in terms of shadow candidates

In contrast to the traditional modeling of voter choice based on proximity, under directional models, selection of candidates is based on the direction and/or intensity of change from a status quo or neutral point. Voter choice can also be modeled as representing both approaches, e.g., as a directional model with proximity restraint, or alternatively, in terms of proximity to discounted positions. We provide a unified perspective for these seemingly disparate models in terms of what we call “shadow” positions. We demonstrate that voter choice in a variety of spatial models including directional components can be viewed as proximity-based choices. Voters choose the candidate whose shadow is nearer, where shadow locations are defined by a simple transformation. We apply this approach to equilibrium analysis, showing that results for a discounted proximity model can be carried over – via shadows – to a variety of directional models.     

Pure-strategy Nash equilibrium in the spatial model with valence: existence and characterization

Public Choice - Pure-strategy Nash equilibria almost never exist in spatial majority voting games when the number of positional dimensions is at least two, as the majority core is typically empty...     

A test of candidate equilibrium

Richard McKelvey predicts that candidates will converge to an equilibrium if candidates and voters maximize their utility and voters' preferences conform to stringent assumptions. Although there are discrepancies between electoral data and the requirements of the theory, an analysis of 1972 and 1976 survey data lends support to basic components of the theory. First, most voters did choose the candidate who provided the greater utility. Second, voter distribution was not asymmetrical enough to allow a candidate to win by moving away from the median toward a concentration of voters. Third, the winning strategy for a candidate was to locate at or near the median. While formal theories' predictions will not hold in their precisely stated form, the assumptions can be robust enough to offer an explanation of electoral choices.     

A spatial analysis of candidate competition in dual member districts: The 1989 Chilean senatorial elections

This study uses empirical spatial theory to evaluate candidate and voter behavior in senate elections contested during the 1989 Chilean general election. The study evaluates whether senatorial candidates competing in dual member districts under Chilean d'Hondt locate near the periphery or interior of the electoral space. Spatial analyses demonstrate the Chilean senatorial electoral system is characterized by centrifugal forces. In particular, candidates of the right locate on the periphery of the space and face few incentives to pursue moderate electoral strategies. The study also characterizes bases of party and candidate support and the underlying dimensions of political competition. Spatial analysis reveals both change and continuity in the pre- and post-authoritarian electoral universes.     

A directional model of candidate evaluations in the 2016 presidential election

The 2016 U.S. presidential election provides an interesting setting for testing the directional theory of issue voting. But, when modeled using the standard approach, using the seven-point issue scales in the 2016 ANES, it is not clear whether the directional model provides any additional leverage over the more traditional proximity model. In order to get around this impasse, I examine candidate evaluations rather than issue scales. Doing so enables a direct test of directional theory against proximity theory. The empirical results show that the proximity model does not outperform the directional model. Instead, the latter outperforms the former because the directional model produces not only a succinct graphical representation of the electorate's candidate evaluations but also an explanation for the relative spatial positions of the candidates.     

Black-box models of candidate evaluation

All contemporary models of candidate evaluation are memory-based models in that they treat the direction and strength of evaluation as a function of the mix of positively and negatively valued (valenced) information retrieved from memory. Yet, oddly enough, despite the assumption that memory mediates judgment, none of the major models looks at the processes involved in what information voters recall and how that evidence was integrated into a summary evaluation. In this sense then, political science models of vote choice are black-box models: They are silent about how voters actually go about interpreting information and integrating the evidence into a summary evaluation of the candidates. In this article we critique the major political science models, call attention to the implicit assumptions they make about what evidence is assumed to be in memory, and conclude with an argument for introducing process into our explanations of vote choice.     

Party policy equilibrium for alternative spatial voting models: An application to the Norwegian Storting

Abstract In recent years a lively debate has emerged concerning the empirical status of the traditional proximity spatial model versus a directional model of voter choice. The central reason for this scholarly interest concerns these models' contrasting implications for parties' policy positioning, with the directional model motivating parties to present extreme policies, but the proximity model promoting centrist positions. To this point, however, there exist no studies that compute parties' optimal strategies in historical elections, for these competing models. This article addresses this issue, by examining party policy strategies in a multiparty electorate for three different vote models: (a) the proximity model, (b) a directional model (c) a mixed model which combines proximity and directional components. Each model incorporates past voting history and the random effects of unmeasured variables. Using parameter estimates derived from analyses of survey data from the 1989 Norwegian Election Study we compute — for each of these vote models — the configuration of party policy positions that maximize each party's vote share in relation to those of the other parties. We find that for each model, such a vote–maximizing configuration exists, but — for the proximity model — represents an unrealistic, tightly clustered array. A mixed proximity–directional model, however, provides by far the most convincing account of parties' actual policy strategies with regard to dispersion and vote share.     

Party policy equilibrium for alternative spatial voting models: An application to the Norwegian storting

In recent years a lively debate has emerged concerning the empirical status of the traditional proximity spatial model versus a directional model of voter choice. The central reason for this scholarly interest concerns these models' contrasting implications for parties' policy positioning, with the directional model motivating parties to present extreme policies, but the proximity model promoting centrist positions. To this point, however, there exist no studies that compute parties' optimal strategies in historical elections, for these competing models. This article addresses this issue, by examining party policy strategies in a multiparty electorate for three different vote models: (a) the proximity model, (b) a directional model (c) a mixed model which combines proximity and directional components. Each model incorporates past voting history and the random effects of unmeasured variables. Using parameter estimates derived from analyses of survey data from the 1989 Norwegian Election Study we compute — for each of these vote models — the configuration of party policy positions that maximize each party's vote share in relation to those of the other parties. We find that for each model, such a vote–maximizing configuration exists, but — for the proximity model — represents an unrealistic, tightly clustered array. A mixed proximity–directional model, however, provides by far the most convincing account of parties' actual policy strategies with regard to dispersion and vote share.     

Mixed equilibriums in a three-candidate spatial model with candidate valence

We study a spatial model of electoral competition among three office-motivated candidates of unequal valence (one advantaged and two equally disadvantaged candidates) under majority rule assuming that candidates are uncertain about the voters’ policy preferences and that the policy space consists of three alternatives (one at each extreme of the linear policy spectrum and one in the center) and we characterize mixed strategy Nash equilibriums of the game. Counterintuitively, we show that (a) when uncertainty about voters’ preferences is high, the advantaged candidate might choose in equilibrium a more extremist strategy than the disadvantaged candidates and that (b) when uncertainty about voters’ preferences is low, there exist equilibriums in which one of the disadvantaged candidates has a larger probability of election than the disadvantaged candidate of the equivalent two-candidate (one advantaged and one disadvantaged candidate) case.     

Party strategies and electoral competition in post-Communist countries: Evidence from Poland

Poland's major post-Communist party, the SLD, was an electorally successful legacy party during the 1990's. An analysis of Polish National Election Studies data and data from a separate study of new firm creation in Poland indicates their success was built on two important and related factors. One is the growth of new firms, which stimulated the growth of a centrist constituency who voted for parties supporting economic reforms. Second, the SLD adapted to this constituency by themselves becoming more economically liberal, as documented by Grzyma?a-Busse (2002). A conditional logit model of voter choice in the 1997 and 2001 elections relates votes to the distance between voters' preferences on economic policies and the positions of the competing parties. From this analysis we estimate that if the SLD had remained an ideological non-reformist party as did the KS?M in the Czech Republic and the CPRF in Russia it would have been a far weaker party as measured by vote and seat shares. Without the new firm creation, an ideological SLD cum KS?M could have been electorally successful as was the CPRF. The paper concludes by contrasting the the Polish, Czech and Russian post-Communist parties and extending the implications of the results to other developing and industrial economies faced with the need for structural change.     

The formation of party preferences: Testing the proximity and directional models

We review the methodological debate between defenders of the proximity and directional models. We propose what we believe to be a rigorous and fair test of the two models, using the 1997 Canadian Election Study. The analysis is based on responses to questions in which the various issue positions are explicitly spelled out. We rely on individual perceptions of party positions because it is individual perceptions that matter in the formation of party preferences but we control for projection effects through a multivariate model that incorporates, in addition to indicators of distance and direction, socio–demographic characteristics, party identification, and leader ratings. We also take into account whether a party is perceived to be extreme. The empirical evidence vindicates the proximity model.     

The formation of party preferences: Testing the proximity and directional models

Abstract. We review the methodological debate between defenders of the proximity and directional models. We propose what we believe to be a rigorous and fair test of the two models, using the 1997 Canadian Election Study. The analysis is based on responses to questions in which the various issue positions are explicitly spelled out. We rely on individual perceptions of party positions because it is individual perceptions that matter in the formation of party preferences but we control for projection effects through a multivariate model that incorporates, in addition to indicators of distance and direction, socio–demographic characteristics, party identification, and leader ratings. We also take into account whether a party is perceived to be extreme. The empirical evidence vindicates the proximity model.     

British parties and spatial competition: Dimensions of party evaluation in the 1992 election

Scholars of British politics traditionally characterize the electorate in terms of partisanship and social class. This paper suggests that ideology and issue preferences also enter into voter perceptions of British political parties and leadership. Using data from the 1992 British Election Study, the paper analyzes the factors that contribute to individual voters; perceptions of the Conservative and Labour parties. The 1992 election saw the major parties move toward the ideological center of British voters. Perceptions of political parties are found to be multidimensional and issue-oriented. A spatial model incorporating issue preferences and perceptions of party positions proves both empirically and theoretically richer than simple models of partisanship. The analysis of British voters complements earlier applications of the general spatial model in the context of the United States.