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In the iterative algorithm, all user budgets are set as 1 initially, then the competitive equilibrium can be derived from given channel capacity and user budget.
(every tone power has a price); (all powers are allocated); (all user budgets are spent); for all (all user demands are met); If then for all (every user only purchases most valuable tone power).
Every equilibrium of the discretized communication spectrum market with the Shannon utility that satisfies power demands has the following properties: (1) (every tone power has a price); (2) (all powers are allocated); (3) (all user budgets are spent); (4) for all (all user demands are met); (5) If then for all (every user only purchases most valuable tone power). .
Every equilibrium of the discretized communication spectrum market with the Shannon utility that balances individual utilities has the following properties: (1) (every tone power has a price); (2) (all powers are allocated); (3) (all user budgets are spent); (4) are identical for all (all user utilities are the same); (5) If then for all (every user only purchases most valuable tone power). .
Similar(8)
(iii) Calculate average power shortage,, and minimal user budget,.
Calculate average reciprocal of individual utility,, and minimal user budget,.
(iii) Calculate average reciprocal of individual utility,, and minimal user budget,.
In Algorithm 1, the user budget is reassigned according to the power shortage of each user in the equilibrium solution.
For balancing individual utilities, herein the user budget is adjusted based on the individual utility in the equilibrium solution.
In each iteration, given channel capacity and user budget, the competitive equilibrium is derived by an iterative waterfilling method [13].
Menglan et al. [42] presents a case where the effect of reserved and on-demand instances are studied for minimizing user budget for deadline constrained jobs.
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