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The transmission system must simultaneously determine transmission rates that balance total profit from bit allocation with transmission costs. The objective is to maximize the present value of the satisfaction derived from progressive transmission over the future, subject to constraints imposed by the initial conditions and the prioritization and transmission technologies. The analytical results demonstrate an oscillatory behavior over time of the rent component of profit depending on thedoi:10.1117/1.2717132 fatcat:xptjbdvbgvab5fn2q4x42tcgmy