We model a single-club-heterogeneous-consumer-exogeneous-income economy as an aggregative public good game. Under common assumptions, if club quality functions are homogeneous of positive degree in the club facility investment and use, an unique Nash equilibrium exists.

I model a single-club economy with heterogeneous consumers as an aggregative game. I give a sufficient condition, normality of demand for the club good in full income, for the existence and uniqueness of a Nash equilbrium by the Cornes-Hartley (2007) method. Then, confining attention to club...