Abstention Causes Bifurcations in Two-Party Voting Dynamics

Bärbel M. R. Stadler

Working Papers from Santa Fe Institute

Abstract: In a recent dynamical systems model of platform adaptation in spatial voting models, Miller and Stadler showed that, assuming concave voter utility functions and complete participation, there is a globally stable equilibrium located at the mean voter position. Here we show that abstention depending on the distances between voters and platforms may lead to bifurcations rendering the mean voter equilibrium unstable. We find up to seven equilibria, up to four of which are local attractors for the platform dynamics.

Keywords: Spatial voting; adaptive platform dynamics; abstention; bifurcations (search for similar items in EconPapers)
Date: 1998-08
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Persistent link: https://EconPapers.repec.org/RePEc:wop:safiwp:98-08-072

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