Public goods game with ambiguous threshold

Various collective action problems can be described as a discrete public goods game with a threshold. In this game, players may be reluctant to contribute to the provision of public goods when the threshold value is uncertain. We derive equilibria when players face ambiguity (i.e., Knightian uncertainty) on the threshold value by using Choquet expected utility. Furthermore, we show that in a class of neo-additive capacities, an increase in ambiguity decreases the equilibrium maximal number of contributors, irrespective of players’ ambiguity-attitudes. This contrasts to what McBride (2006) shows when the probability distribution is known.