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Modelling resource allocation problems in the form of non-cooperative pricing games takes into account the difference between how much a given performance metric is valued and how much is paid for it. For the convergence of the sum of all users' payoff to a global maximum, the determination of the utility function is essential. Although supermodularity conditions have been previously defined and determined to obtain suitable utility functions, different utilities have significantly varyingdoi:10.5121/ijnsa.2011.3407 fatcat:5to5m67eybc2nfzy5bbqajzbti