Coordination and Turnout in Large Elections

Mathematical and Computer Modelling, 48 (2008) 1478–1496

19 Pages Posted: 6 Feb 2013

Date Written: May 19, 2008

Abstract

Competitive elections are frequently decided by which side can generate larger turnout on polling day. When decided on whether to turn out voters are assumed to balance the cost of going to the polls with the prospect of making a difference in the election outcome. We present a stochastic model of turnout where voters receive information about current turnout propensities of the voting populus through opinion polls. Voters then decide on whether to vote or not by maximizing their expected utility based on the (potentially noisy) polling information as well as the costs and benefits of participation. We prove the existence of a unique limiting distribution for the process and show that even in large electorates substantial expected turnout is possible if voting factions are sufficiently similar in size. A key requirement for substantial turnout is that polls never provide precise feedback on the current state of the electorate. The effect of noise, however, is non-monotonic: no noise or too much noise results in vanishing turnout, while moderate noise may result in substantial turnout. Our model also can account for known empirical regularities about turnout identified in the political science literature.

Keywords: game theory, behavioral economics, bounded rationality, collective action, learning, on-line polls, Markov processes, voting, elections

Suggested Citation

Diermeier, Daniel and Van Mieghem, Jan Albert, Coordination and Turnout in Large Elections (May 19, 2008). Mathematical and Computer Modelling, 48 (2008) 1478–1496. Available at SSRN: https://ssrn.com/abstract=2212301

Daniel Diermeier

Northwestern University - Kellogg School of Management ( email )

2001 Sheridan Road
Evanston, IL 60208
United States

Jan Albert Van Mieghem (Contact Author)

Northwestern University - Kellogg School of Management ( email )

2001 Sheridan Road
Evanston, IL 60208
United States

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