After a disaster or a large-scale unexpected incident, the terrestrial network infrastructures might either be damaged or paralyzed. Building a highly reliable and low latency emergency communication network is crucial to the first responders and affected citizens to minimize their loss of lives and property, it also is identified as one of the key scenarios in the fifth generation wireless systems. The use of small aerial platforms and LEO satellite to provide effective services during the emergency situation is attractive, but often challenged by lack of user access mode selection algorithm to balance the network performance and cost. In this paper, we study the dynamics of user access mode selection in a satellite-aerial based emergency communication network, where the competition among groups of potential users is formulated as a dynamic evolutionary game and solved by an evolutionary equilibrium. Stochastic geometry tool is used to model the 3-dimensional distribution of unmanned aerial vehicles and drive the payoff expressions by taking into account different network parameters. The analytical results obtained from the game model are evaluated via simulations, which show the evolutionary game based algorithm has a better payoff than the max-rate based algorithm.
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