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access fee revenue access fees extract attracting additional customers Australian National University concave constant price elasticity consumer equilibrium n',p contradicts Cournot quantity setting defined demand curve demand is linear denotes entire consumer surplus entry equilibrium number equal marginal cost equal to marginal equilibrium access fee excessive entry extract all consumer extract the entire firm's firms choose fixed cost fixed point free entry equilibrium game without access Hence implies indirect utility Jude Kline Kompas Nash equilibrium natural monopoly nixc number of consumers number of customers number of firms open entry equilibrium optimal order condition A.8 output prices equal marginal profit function profit maximizing profit per firm Proof of Lemma Proof of Proposition Proposition 2.1 quantity competition quantity setting game quantity setting model rival firms satisfies single part pricing standard Cournot quantity strategy combination sub-additive sunk costs symmetric U(pi,Ai unique consumer equilibrium unit price equal utility maximization V(xc Vj(nj