We analyze voter learning in two candidate elections with costly voting in which voters may or may not know the costs of other voters. We show that the only ``robust'' equilibria, i.e. those consistent with reasonable models of voter learning, are those with low turnout in this stylised model. Increases in costs of voting affect turnout adversely but there may be persistence of turnout levels between elections even though costs and other parameters change. Increases in the size of the electorate are shown to decrease turnout, in line with intuition.