Democracy Undone: Systematic Minority Advantage in Competitive Vote Markets

Working Paper: CEPR ID: DP9242

Authors: Alessandra Casella; Sébastien Turban

Abstract: We study the competitive equilibrium of a market for votes where voters can trade votes for a numeraire before making a decision via majority rule. The choice is binary and the number of supporters of either alternative is known. We identify a sufficient condition guaranteeing the existence of an ex ante equilibrium. In equilibrium, only the most intense voter on each side demands votes and each demand enough votes to alone control a majority. The probability of a minority victory is independent of the size of the minority and converges to one half, for any minority size, when the electorate is arbitrarily large. In a large electorate, the numerical advantage of the majority becomes irrelevant: democracy is undone by the market.

Keywords: majority voting; minority; vote buying; vote trading; voting

JEL Codes: C62; C72; D70; D72; P16


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
vote market structure (D72)likelihood of minority victories (J15)
intense voters demand votes (D72)probability of minority victory converges to one-half (D79)
vote trading dynamics (D72)disruption of traditional majority rule (D72)
market allocates decision power (D47)systematic bias favoring minority (J15)
vote trading (D72)potential inefficiencies in welfare outcomes (D61)

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