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Socially Optimal Districting: A Theoretical and Empirical Exploration

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  • Coate, Stephen

    (Cornell U)

  • Knight, Brian

    (Brown U)

Abstract

This paper investigates the problem of optimal districting in the context of a simple model of legislative elections. In the model, districting matters because it determines the seat-vote curve, which describes the relationship between seats and votes. The paper first characterizes the optimal seat-vote curve, and shows that, under a weak condition, there exist districtings that generate this ideal relationship. The paper then develops an empirical methodology for computing seat-vote curves and measuring the welfare gains from implementing optimal districting. This is applied to analyze the districting plans used to elect U.S. state legislators during the 1990s.

Suggested Citation

  • Coate, Stephen & Knight, Brian, 2007. "Socially Optimal Districting: A Theoretical and Empirical Exploration," Working Papers 07-06, Cornell University, Center for Analytic Economics.
    • Handle: RePEc:ecl:corcae:07-06
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