Wireless access networks (Cognitive radio network) are often characterized by the interaction of different end users, communication technologies and network providers. This design analyses the dynamics among these “actors” by focusing on the processes of wireless network (free channel) selection, where end users(secondary users) may choose among multiple available access networks to get connectivity, and resource (frequency)allocation where network providers may set their radio resources to provide connectivity.
The interaction among end users is modeled as a noncooperative congestion game, where players (end users) selfishly select the access network that minimizes their perceived selection cost.  A method based on mathematical programming is proposed to find Nash equilibria and characterize their optimality under three cost functions, which are representative of different technological scenarios.  System level (Matlab) simulations are then used to evaluate the actual throughput and fairness of the equilibrium points.
The interaction among (Secondary)end users and network providers is then assessed through a two-stage multileader/multi-follower game, where network providers (leaders) play in the first stage by properly setting the radio resources to maximize their users, and end users (followers) play in the second stage the aforementioned network selection game.
The existence of exact and approximated subgame perfect Nash equilibria of the two-stage game is thoroughly assessed, and numerical results are provided on the “quality” of such equilibria (Cognitive)wireless access networks, network selection (channel selection) and congestion games.
Reference Paper-1: On Spectrum Selection Games in Cognitive Radio Networks
Author’s Name:  Ilaria Malanchini, Matteo Cesana, and Nicola Gatti
Source: IEEE

Reference Paper-2: Network Selection and Resource Allocation Games for Wireless Access Networks
Author’s Name:  Ilaria Malanchini, Matteo Cesana, and Nicola Gatti
Source: IEEE

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