Dealignment, spatial polarisation and economic voting

Abstract. Estimates of voting by occupational class are provided for each of 22 regions in the UK for every general election since 1964. These are analysed, using a log-linear modelling strategy, to identify the changing degree of class dealignment and spatial polarisation within the British electorate over the period. The growing regional variability is consistent with expectations regarding the increasing volume of economic voting and the pattern of uneven development in the country: the north-south and urban-rural divides have both widened.     

Congressional rationality and spatial voting

It is very difficult to demonstrate that representatives employ sophisticated cost-benefit calculations in evaluating constituent benefits when making many legislative decisions. This is because most modern American legislation is ambiguous about which constituencies will receive particularized benefits. This paper examines a series of locational rollcall votes in which the benefits going to constituents were obvious. In such cases representatives balance increases in voter support within their congressional districts and potential increases in their political power within Congress to be gained by vote trading. If constituency benefits are great, representatives overwhelmingly support legislation to provide such benefits. As the benefits decline, vote trading increases.     

Multiparty spatial competition with probabilistic voting

I develop a general model of multiparty competition in which parties model voters' choices by means of probabilistic choice rules. The model is specified in terms of an issue salience coefficient which varies with the importance voters attach to issues, as opposed to unmeasured nonissue motivations. I show that when the policy salience coefficient is sufficiently low, then both vote-maximizing and rank-maximizing parties have a dominant strategy: to adopt the “most popular platform,” which maximizes voter utilities over the entire electorate. This most popular platform therefore represents a convergent equilibrium when all parties are vote- or rank-maximizing. Numerical estimates suggest that this equilibrium result holds for degrees of issue voting which exceed the parameters behavioral researchers have estimated for various historical elections.     

Equilibrium in multicandidate probabilistic spatial voting

This paper presents a multicandidate spatial model of probabilistic voting in which voter utility functions contain a random element specific to each candidate. The model assumes no abstentions, sincere voting, and the maximization of expected vote by each candidate. We derive a sufficient condition for concavity of the candidate expected vote function with which the existence of equilibrium is related to the degree of voter uncertainty. We show that, under concavity, convergent equilibrium exists at a “minimum-sum point” at which total distances from all voter ideal points are minimized. We then discuss the location of convergent equilibrium for various measures of distance. In our examples, computer analysis indicates that non-convergent equilibria are only locally stable and disappear as voter uncertainty increases.     

Policy divergence in multicandidate probabilistic spatial voting

Existing models of multicandidate spatial competition with probabilistic voting typically predict a high degree of policy convergence, yet in actual elections candidates advocate quite divergent sets of policies. What accounts for this disparity between theory and empirical observation? I introduce two variations on the basic probabilistic vote model which may account for candidate policy divergence: 1) a model which incorporates candidate-specific variables, so that candidates may enjoy nonpolicy-related electoral advantages (or disadvantages); 2) a model which allows nonzero correlations between the random terms associated with voters' candidate utilities, thereby capturing situations where voters view two or more candidates as similar on nonpolicy grounds. I report candidate equilibrium analyses for each model, which show far greater policy divergence than exists under the standard probabilistic vote model. I then analyze the strategic logic which underlies these results.

     

A spatial model of legislative voting with perceptual error

This paper presents a unidimensional spatial model of voting in which members of Congress vote based on an imprecise perception of roll-call alternatives. The model is applied to the Senate roll-call votes of 1977 to estimate the ideal points of the senators, and to examine the role of a liberal-conservative dimension in describing votes on economic issues relative to social issues. In light of the spatial model, the paper argues that “standard” models of roll-call voting are not based on a theory of choice, and hence, that it is difficult to interpret their results. Alternatives to standard models, based on the spatial model, are developed and are used to analyze the role of ideology in deciding a specific economic issue: coal strip-mining.     

Three-candidate spatial competition when candidates have valence: stochastic voting

We study the effects of stochastic (probabilistic) voting on equilibrium locations, equilibrium vote shares and comparative statics in a setup with three heterogeneous candidates and a single-dimensional issue space. Comparing the equilibria with and without stochastic voting, we find that under an appropriate level of uncertainty about voter behavior, the model has a pure strategy Nash Equilibrium (PSNE) that is free from several non-plausible features of the PSNE under deterministic voting. This result is robust to extensions to asymmetric density and plurality maximization.     

Cracking the whip: spatial voting with party discipline and voter polarization

The spatial voting theory literature has generally focused on either parties or candidates as the unit of analysis and ignored strategic interactions between them. I study a game theoretic spatial model of elections with many heterogeneous constituencies in which both party and candidate behavior are modeled. Parties choose a platform and a ‘whip rate,’ representing the proportion of final policy that will be made by the party, as opposed to by the successful candidates. Candidates are office-motivated and can choose both a platform and a level of advertising in order to defeat their opponent. It is shown that the introduction of whipping as a choice variable can cause party platforms to diverge and that parties will whip on some but not all issues, reflecting the empirical reality of parties influencing rather than determining policy outcomes exclusively. Further, parties respond to sharper voter polarization by reducing the power of the whip as well as distinguishing their platforms from one another, while more voter uncertainty has the opposite effect. Other real-world phenomena, including ‘safe seats’ and legislators voting with their party even when unwhipped, are also shown to be predicted by the model.     

A test of the predictive dimensions model in spatial voting theory

We model correlated voter-candidate issue data within the framework of the Enelow-Hinich spatial model of predictive dimensions. The empirical consequences of this model of the issue data are surprising and allow for an indirect test of the Enelow-Hinich spatial model. The central prediction of the correlated data model we construct, which depends critically on the underlying spatial model, is tested with issue data from the 1980 NES pre-election interview. The test results are highly supportive of the model's predictions. We conclude both that the spatial model of predictive dimensions is empirically supported and that candidate spatial locations estimated by the model are not an artifact of correlated voter-candidate issue data.     

How does ideology matter in the spatial model of voting?

In spatial voting games without a core, if candidates are constrained on one issue, they are implicitly constrained on other issues. Thus external constraints affect optimal positions for candidates. Using new solution concepts, we find the optimal position for a candidate given any linear constraint, given an opponent’s constraint, and determine conditions when constraints are sufficient to yield unbeatable positions.     

Evidence on the importance of spatial voting models in presidential nominations and elections

ADA scores and Nominate scores are used for the first time to examine the influence of spatial voting records on which candidate wins the party’s presidential nomination and on which nominee wins the general election. We find that the most conservative Republican candidate and moderately liberal Democrats were most likely to win their party’s nomination. For general elections we find that the candidate’s spatial record has nearly as much impact on the outcome as economic growth, which has been the focus of most past empirical research. The nominee whose voting record is more moderate is more likely to be elected.     

Opposition backlash and platform convergence in a spatial voting model with campaign contributions

This paper investigates the effects of campaign contributions on candidate behavior in elections. The particular focus is on how candidates choose their platforms when they know that the positions they take will influence the level of campaign contributions that they (and their opponents) receive from concerned interest groups. The analysis is carried out in the context of a simple one- dimensional spatial voting model with two candidates and two interest groups. Since the earliest Hotelling-Downs formulations, a central issue in the literature on spatial voting has been the degree to which, under various sets of assumptions, the candidates' platforms converge in equilibrium. This paper extends that literature by examining how the introduction of interest groups making campaign contributions affects the degree of platform convergence. The paper shows that when choosing their platforms, candidates face a trade-off between generataing increased support from opponents and provoking a backlash from the opposition. An example is developed to illustrate a surprising result that can occur because of the backlash effect: the introduction of two extremist interest groups may lead the candidates to moderate their platforms, resulting in a greater degree of platform convergence than would be observed in the absence of any campaign contributions.     

Centripetal forces in spatial voting: On the size of the Yolk

The yolk, the smallest circle which intersects all median lines, has been shown to be an important tool in understanding the nature of majority voting in a spatial voting context. The center of the yolk is a natural ‘center’ of the set of voter ideal points. The radius of the yolk can be used to provide bounds on the size of the feasible set of outcomes of sophisticated voting under standard amendment procedure, and on the limits of agenda manipulation and cycling when voting is sincere. We show that under many plausible conditions the yolk can be expected to be small. Thus, majority rule processes in spatial voting games will be far better behaved than has commonly been supposed, and the possible outcomes of agenda manipulations will be generally constrained. This result was first conjectured by Tullock (1967).     

Class voting and left voting in Scandinavia

Abstract. This article examines the effects of different definitions of the working class on the measurement of class voting and left voting in Denmark, Norway and Sweden. First, the similarities and differences in how the working class has been operationalized in the three countries are summarized. To determine the effects of different operationalizations, Swedish election survey data are recoded to conform more closely to the classification procedures used in Danish and Norwegian studies. The analysis shows that if a similar operationalization is used, the level of left voting in both the Swedish working and middle classes increases and the Alford index of class voting declines. Class voting and left voting in the younger and older generations and among women and men are also discussed. Dissimilar patterns of class voting and left voting among women in the three countries are largely a product of different classification schemes. The concluding discussion points to a number of problems in using the Alford index as a summary statistic in cross-national comparisons.     

Coalition formation and polarisation

Party ideology plays an important role in determining which government coalitions form. Research on coalition formation tends to focus on the ideological distance between coalition parties. However, the distribution of preferences within the coalition, and the legislature, also has implications for which government coalition forms – that is, a party's willingness to join a coalition depends not only on its prospective coalition partners, but also on the alternative coalitions it could form. Several hypotheses about the effects of legislative polarisation are offered and tested using data on coalition formation in 17 parliamentary democracies in the postwar period. This article also demonstrates how the traditional measure of ideological divisions within coalitions fails to capture certain aspects of ideological heterogeneity within the cabinet (and the opposition) and how Esteban and Ray's polarisation index helps in addressing these deficiencies.     

A comparison of cumulative voting and generalized plurality voting

In market based societies consumers are able to express the intensity of their preference for an object by paying more for it. However, under some voting systems, consumers are unable to express the intensity of their preference for a candidate due to the constraint of the “one person, one vote” principle. Cumulative voting maintains the equality of the “one person, one vote” principle by allotting each voter the same number of votes, while also allowing for expression of intensity of candidate preference. This paper provides an experimental analysis of voter behavior under different voting systems.     

Bargaining and voting

Government by majority rule voting is a mixture of voting and bargaining. Bargaining among people with moderately different objectives is indispensable for the passage of laws and the formation of public policy. Little of the nation’s business could be transacted without an ability on the part of the legislators and members of political parties to strike bargains, but that same ability to strike bargains makes possible the exploitation of minorities by majorities which, beyond some limit, destroys democratic government. Rules and customs are designed to foster bargaining in the one context and to thwart bargaining in the other.     

Robust voting

The formal equivalence between social choice and statistical estimation means that criteria used to evaluate estimators can be interpreted as features of voting rules. The robustness of an estimator means, in the context of social choice, insensitivity to departures from majority opinion. In this paper we consider the implications of substituting the median, a robust, high breakdown estimator, for Borda's mean. The robustness of the median makes the ranking method insensitive to outliers and reflect majority opinion. Among all methods that satisfy a majority condition, median ranks is the unique one that is monotonic. It is an attractive voting method when the goal is the collective assessment of the merits of alternatives.