Equilibrium uniqueness in aggregative games: very practical conditions

Abstract Various Nash equilibrium results for a broad class of aggregative games are presented. The main ones concern uniqueness. setting presupposes that each player has $$\mathbb {R}_+$$ R + as strategy set, makes smoothness assumptions but allows discontinuity stand-alone payoff functions at 0; this possibility is especially important various contest and oligopolistic games. Conditions completely in terms marginal reductions which may be considered primitives the game. For many literature they can easily checked. They automatically imply conditional strictly quasi-concave. proved by means Szidarovszky variant Selten–Szidarovszky technique. Their power illustrated reproducing quickly improving upon economic