When Inertia Generates Political Cycles

In this note, we propose a simple infinite horizon of elections with two candidates. We suppose that the government policy presents some degree of inertia, i.e. a new government cannot completely change the policy implemented by the incumbent. When the policy inertia is strong enough, no party can win the elections a consecutive infinite number of times.Policy inertia

When Inertia Generates Political Cycles

We propose a simple infinite horizon of repeated elections with two candidates. Furthermore we suppose that the government policy presents some degree of inertia, i.e. a new government cannot completely change the policy implemented by the incumbent. When the policy inertia is strong enough, no party can win the election a consecutive infinite number of times.Political Cycles, Inertia

Existence of Nash Equilibria on Convex Sets

We analyze a non-cooperative game in which the set of feasible strategy profiles is compact and convex but possibly non-rectangular. Thus, a player's feasible strategies may depend on the strategies used by others, as in Debreu's (1952,1982) generalized games. In contrast to the model of Debreu, we do not require preferences to be defined over infeasible strategy profiles, and we do not require a player's feasible strategy correspondence to have non-empty values. We prove existence of Nash equilibria under a lower hemicontinuity condition, and we give examples of classes of games in which this condition is satisfied

Inequality, Uncertainty, and Redistribution

For centuries it has been believed that the extension of the franchise in unequal societies would lead to relatively high levels of redistribution. According to international rankings, how- ever, among the fourteen most unequal countries in the world, nine have been democratic for at least the past fourteen years. A prerequisite for the adoption of redistributive policies is that there be elected representatives who are either committed to or who have an incentive to advocate for such policies. The prospects of such an outcome depend not only on candidates personal policy preferences and motivations, but also how they are perceived by voters. One important feature shared by highly unequal democracies is that they tend to be relatively young, with many new parties and candidates in the political scene. This means elections occur under a high degree of uncertainty about critical information voters need to chose their delegates. Thus, in this paper I develop a model of elections as a game of incomplete information to explore how uncertainty, candidates’ motivation (policy vs. office), and beliefs about their ideological inclinations affect what policy interests are likely to be represented in the political process. I explore the model’s assumptions and outcomes empirically using individual level data for each presidential election in Brazil since democratization.Elections, Redistribution, Inequality, Uncertainty

Existence and uniqueness of Nash equilibrium in electoral competition games: The hybrid case

This paper analyzes the traditional unidimensional, two-party electoral competition game when parties have mixed motivations, in the sense that they are interested in winning the election, but also in the policy implemented after the contest. In spite of having discontinuous payoffs, this game, refer to as the hybrid election game, is shown to be payoff secure and reciprocally upper semi-continuous. Conditional payoffs, however, are not quasi-concave. Hence, the existence of a pure strategy Nash equilibrium (PSNE) is ensured only if parties have homogenous interests in power. In that case, an equilibrium not only exists, but it is also unique. Instead, if parties have heterogeneous motivations, depending upon the relationship between the electoral uncertainty, the aggregate opportunism and its distribution across parties, a psne may or may not exist. The mixed extension, however, is always better reply secure. Therefore, a mixed strategy Nash equilibrium do indeed exist. These results generalize previous existence results in unidimensional electoral competition.Electoral competition; mixed motivations; discontinuous games; Nash equilibrium.