Equilibria in bottleneck games

Abstract This paper introduces a bottleneck game with finite sets of commuters and departing time slots as an extension congestion games Konishi et al. (J Econ Theory 72:225–237, 1997a). After characterizing Nash equilibrium the game, we provide sufficient conditions for which equivalence between strong equilibria holds. Somewhat surprisingly, unlike in games, pure strategies may often fail to exist, even when players are homogeneous. In contrast, there is continuum atomless players, existence set hold (Konishi