In common agency games without budget constraints and outside option, Bernheim and Whinston (1986) show that CPNE=TNE=Principal-optimal core in the payoff space. With budget constraints or outside options, CPNE and TNE may not exist and may not be equivalent to each other. TNEs can be Pareto ranked, contrary to Dixit, Grossman, and Helpman (1996). CPNEs do not avoid a coordination problem, as they can be Pareto dominated by a TNE.