Complementarities and macroeconomics: Poisson games

In many situations in macroeconomics strategic complementarities arise, and agents face a coordination problem. An important issue, from both a theoretical and a policy perspective, is equilibrium uniqueness. We contribute to this literature by focusing on the macroeconomic aspect of the problem: the number of potential innovators, speculators, etc. is large. In particular, we follow Myerson that in large games “a more realistic model should admit some uncertainty about the number of players in the game” [Myerson, R., 1998. Population uncertainty and Poisson games. Int. J. Game Theory 27, 375-392; Myerson, R., 2000. Large Poisson games. J. Econ. Theory 94, 7-45]. In more detail, we model the coordination problem as a Poisson game, and investigate the conditions under which unique equilibrium selection is obtained.