An Evolutionary Game-Theoretic Approach to Congestion Control

Daniel MenascheDaniel FigueiredoEdmundo de Souza e Silva

This paper investigates a system where a set of users that share a common network link are free to choose the transmission rate of multimedia data. Users are assumed to be self-regarding and make their decisions with the sole goal of maximizing the QoS they perceive. In order to understand this system we develop an evolutionary game-theoretic model to evaluate equilibria points that are reached by the users. Using our proposed model, we demonstrate analytically and numerically several interesting properties of the system equilibria. In particular, we establish the relationship between states that have non-negligible probabilities and Nash equilibria of the game. Techniques from the theory of aggregation in Markov chains are used to prove this result.

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