The topic is two-fold. First, we prove the convexity of Owen's Airport Profit Game (inclusive of revenues and costs). As an adjunct, we characterize the class of 1-convex Airport Profit Games by equivalent properties of the corresponding cost function. Second, we classify the class of 1-convex Bankruptcy Games by solving a minimization problem of its corresponding gap function.
['Dongshuang Hou', 'Theo S. H. Driessen']
CONVEXITY OF THE "AIRPORT PROFIT GAME" AND k-CONVEXITY OF THE "BANKRUPTCY GAME"