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This paper studies the Markov perfect equilibrium outcomes of a dynamic game of electoral competition between two policy-motivated parties. I model incumbent policy persistence: parties commit to implement a policy for their full tenure in oce, and hence in any election only the opposition party renews its platform. In equilibrium, parties alternate in power and policies converge to symmetric alternations about the median voter’s ideal policy. Parties’ disutility from opponents’ policies leads to alternations that display bounded extremism; alternations far from the median are never limits of equilibrium dynamics. Under a natural restriction on strategies, I nd that robust long-run outcomes display bounded moderation; alternations close to the median are reached in equilibrium only if policy dynamics start there.
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