“…Let g i,l and g i,j be the links chosen by agent i with agents l and j. Agent i chooses the links solving (7) under the constraint that g i,j ∈ [0, g] for all j ∈ N . It is easy to see that, given (E j (G, ε)) j∈N , problem (7) is concave in g = (g i,1 , ..., g i,n ) and, therefore, it has a unique solution whose necessary and sufficient condition is: g * i,j ≤ (θ i,j ) 1+φ αδE * j φ , satisfied as an equality in an interior solution.…”