We analyze strategic voting under proportional rule and two parties, embedding the basic spatial model into the Poisson framework of population uncertainty. We prove that there exists a unique Nash equilibrium. We show that it is characterized by a cutpoint in the policy space that is always located between the average of the two parties’ positions and the median of the distribution of voters’ types. We also show that, as the expected number of voters goes to infinity, the equilibrium converges to that of the case with deterministic population size.
Poisson voting games under proportional rule / F. De Sinopoli, C. Meroni. - In: SOCIAL CHOICE AND WELFARE. - ISSN 0176-1714. - 58:3(2022), pp. 507-526. [10.1007/s00355-021-01367-2]
Poisson voting games under proportional rule
C. Meroni
2022
Abstract
We analyze strategic voting under proportional rule and two parties, embedding the basic spatial model into the Poisson framework of population uncertainty. We prove that there exists a unique Nash equilibrium. We show that it is characterized by a cutpoint in the policy space that is always located between the average of the two parties’ positions and the median of the distribution of voters’ types. We also show that, as the expected number of voters goes to infinity, the equilibrium converges to that of the case with deterministic population size.File | Dimensione | Formato | |
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