Source: Henry S. Farber, National Bureau of Economic Research (NBER), NBER Working Paper No. w16160, July 2010
From the abstract:
The standard theoretical solution to the observation of substantial turnout in large elections is that individuals receive utility from the act of voting. However, this leaves open the question of whether or not there is a significant margin on which individuals consider the effect of their vote on the outcome in deciding whether or not to vote. In order to address this issue, I study turnout in union representation elections in the U.S. (government supervised secret ballot elections, generally held at the workplace, on the question of whether the workers would like to be represented by a union). These elections provide a particularly good laboratory to study voter behavior because many of the elections have sufficiently few eligible voters that individuals can have a substantial probability of being pivotal. I develop a rational choice model of turnout in these elections, and I implement this model empirically using data on over 75,000 of these elections held from 1972-2009. The results suggest that most individuals (over 80 percent) vote in these elections independent of consideration of the likelihood that they will be pivotal. Among the remainder, the probability of voting is related to variables that influence the probability of a vote being pivotal (election size and expected closeness of the election). These findings are consistent with the standard rational choice model.