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This paper studies the impact of mobility when mobiles are under a simultaneous power and rate assignment scheme based on a fair assignment policy. Using a fluid model for expressing the long-range impact of neighboring cells, the authors are able to derive an analytical expression of the impact of one moving mobile to a fixed one, both being under a fair policy of rate assignment. These policies include max-min, Nash equilibria, harmonic equilibria and many others. They validate their model on a stochastic geometric model where they measure the elasticity of the rate of the moving terminal and show more complex situations when more than two mobiles influence each other.
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