TL;DR: In this article, the authors define a multidimensional analogue of a single-peaked preference and generalize the notion of a median voter scheme, showing that a social choice function is strategy-proof iff, viewed as a social welfare function, it satisfies a monotonicity property.
TL;DR: This paper developed a model of electoral competition in which two opportunistic candidates select their policy position and invest in quality, and demonstrated that when information is imperfect, the BlackDowns median voter theorem fails to hold.
Abstract: We develop a model of electoral competition in which two opportunistic candidates select their policy position and invest in quality. Policy positions are observed and, during the campaign, the press reveals some information about quality. We demonstrate that when information is imperfect, the BlackDowns median voter theorem fails to hold. For intermediate information levels, the unique equilibrium is such that candidates propose policies different from the median voter’s bliss point. By contrast, convergence to the median occurs when quality is (almost) always or (almost) never revealed. We also show that a profit-maximising press may collect more information than socially optimal. During the 1995 electoral campaign in Belgium, the VLD – a traditionally right-wing ½�
TL;DR: This paper developed a model of electoral competition in which two purely opportunistic candidates select their policy position and invest in the quality of their platform, and demonstrated that when information is imperfect and quality endogenous, the Black-Downs median voter theorem fails to hold.
Abstract: We develop a model of electoral competition in which two purely opportunistic candidates select their policy position and invest in the quality of their platform. Policy positions are observed and, during the electoral campaign, the press reveals some information about quality. We demonstrate that when information is imperfect and quality endogenous, the Black-Downs median voter theorem fails to hold. For intermediate levels of information revelation, the unique equilibrium is one in which candidates propose policies that differ from the median voter's bliss point. By contrast, convergence to the median voter still occurs when information is (almost) always or (almost) never revealed. Our results also show that a profit-maximizing press may collect more information than optimal from a social viewpoint.
TL;DR: In this article, the median and mean mechanisms establish the existence of symmetric Bayesian Nash equilibria of the corresponding games and compare the performance of the mechanisms for different degrees of interdependencies.
TL;DR: In this article, the authors prove the existence of Markovian equilibria in a model of dynamic spatial legislative bargaining, where a majority vote takes place between the proposal of a randomly selected player and the status-quo, the policy last enacted.
Abstract: The paper proves, by construction, the existence of Markovian equilibria in a model of dynamic spatial legislative bargaining. Players bargain over policies in an infinite horizon. In each period, a majority vote takes place between the proposal of a randomly selected player and the status-quo, the policy last enacted. This determines the policy outcome that carries over as the status-quo in the following period; the status-quo is endogenous. Proposer recognition probabilities are constant and discount factors are homogeneous. The construction relies on simple strategies determined by strategic bliss points computed by the algorithm we provide. A strategic bliss point is the policy maximizing the dynamic utility of a player with ample bargaining power. Relative to a bliss point, the static utility ideal, a strategic bliss point is a moderate policy. Moderation is strategic and germane to the dynamic environment; players moderate in order to constrain the future proposals of opponents. Moderation is a strategic substitute; when a player's opponents do moderate, she does not, and when they do not moderate, she does. We prove that the simple strategies induced by the strategic bliss points computed by the algorithm deliver a Stationary Markov Perfect equilibrium. Thus we prove its existence in a large class of symmetric games with more than three players and (possibly with slight adjustment) in any three-player game. Because the algorithm constructs all equilibria in simple strategies, we provide their general characterization, and we show their generic uniqueness. Finally, we analyse how the degree of moderation changes with changes in the model parameters, and we discuss the dynamics of the equilibrium policies.