Democracy Undone: Systematic Minority Advantage in Competitive Vote Markets

Working Paper: NBER ID: w18573

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 demands 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: Vote Markets; Minority Advantage; Competitive Equilibrium; Political Economy

JEL Codes: C62; 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
size of the minority (J15)probability of minority victories (J15)
vote trading (D72)decision power allocation (D70)
distribution of voters' preferences (D79)existence of ex ante equilibrium (C62)
intensity of voter preferences (D79)existence of equilibrium (C62)
size of the minority (J15)probability of minority victory (J15)
vote market (D72)traditional majority rule (D72)

Back to index