Local‐global equivalence in voting models: A characterization and applications

The paper considers a voting model where each voter's type is her preference. The type graph for a voter is a graph whose vertices are the possible types of the voter. Two vertices are connected by an edge in the graph if the associated types are “neighbors.” A social choice function is locally strategy‐proof if no type of a voter can gain by misrepresentation to a type that is a neighbor of her true type. A social choice function is strategy‐proof if no type of a voter can gain by misrepresentation to an arbitrary type. Local‐global equivalence (LGE) is satisfied if local strategy‐proofness implies strategy‐proofness. The paper identifies a condition on the graph that characterizes LGE. Our notion of “localness” is perfectly general. We use this feature of our model to identify notions of localness according to which various models of multidimensional voting satisfy LGE. Finally, we show that LGE for deterministic social choice functions does not imply LGE for random social choice functions.

3. Voting Behaviour

This chapter examines theories and evidence of voting behaviour in Europe. Sociological models examine the role of political cleavages such as class in the development of long-term attachments between parties and voters. Rationalist models examine the sources of short-term changes in voting behaviour with spatial models focusing on the ideological congruence between parties and voters and performance voting models emphasizing evaluations of incumbent records in office. Recent decades have seen debates about a possible realignment of voter loyalties or a dealignment of voter attachments. The final section focuses on how the legacy of communism has structured the development of voting behaviour in East-Central Europe.

Deadlock on the Board

We develop a dynamic model of board decision-making akin to dynamic voting models in the political economy literature. We show a board could retain a policy all directors agree is worse than an available alternative. Thus, directors may retain a CEO they agree is bad—deadlocked boards lead to entrenched CEOs. We explore how to compose boards and appoint directors to mitigate deadlock. We find board diversity and long director tenure can exacerbate deadlock. We rationalize why CEOs and incumbent directors have power to appoint new directors: to avoid deadlock. Our model speaks to short-termism, staggered boards, and proxy access.

The Neglected Role and Variability of Party Intercepts in the Spatial Valence Approach

Empirical applications of the spatial theory of elections typically rely on the discrete choice framework to arrive at probabilistic voting models. Whereas in the classic model voter choice is solely a function of spatial proximity, neo-Downsian models also incorporate voter-specific nonpolicy attributes, which are represented by sociodemographic characteristics. One prominent line of such probabilistic models, Schofield’s Valence Model, additionally includes party valences into voter utility functions. The model rests on the estimated party intercepts to measure the valence advantages empirically. The party intercepts are ordered based on their values, and then this valence ranking is used further to predict equilibrium locations. The paper demonstrates that this measurement strategy does not provide unique results in fully specified models due to central properties of discrete choice models and the specific nature of party intercepts in these models. Drawing on a simple example based on mass election surveys from Germany, it is shown that the valence ranking, the crucial factor to investigate how valence differences affect the nature of spatial competition, is highly sensitive to arbitrary coding decisions. As a consequence, it is impossible to represent valence with the constants and to infer something substantial from the resulting valence ranking.

Spatial Voting Models of Party Competition in Two Dimensions

This chapter broadly surveys spatial voting models of party competition in two dimensions, where, in Western democracies, the first dimension is typically the left-right dimension pertaining to policy debates over income redistribution and government intervention in the economy. The second dimension may encompass policy debates over issues that cross-cut the left-right economic dimension, or it may encompass universally valued “valence” dimensions of party evaluation such as parties’ images for competence, integrity, and leadership ability. The chapter reviews models with office-seeking and policy-seeking parties. It also surveys both the theoretical and the empirical literatures on these topics.