Evolutionary Game Theory-Based Collaborative Sensing Model in Emergency CRAHNs

Table 1

Terminology table.

Notation	Description
𝑟	Number of spectral bands to be sensed
𝑘	Number of sensing SUs in a given time epoch
𝛾	Group SNR
𝑃𝑑	Average probability of the detection of the group
𝑃𝑓	Average probability of false alarm of the group
𝑁	Network size (integer)
𝑄𝑑𝑘	Probability of detection of fused data obtained by fusing 𝑘 inputs
𝑄𝑓𝑘	Probability of false alarm of fused data obtained by fusing 𝑘 inputs
𝑚	Size of majority, depends on average 𝑃𝑑 and 𝑃𝑓 of the group.
𝑀	Observation interval as an integer number of time epochs
𝑅𝑘	Risk factor
𝐾	Minimal number of SUs required to maximize the network utility 𝐽𝑘
𝑃𝑠_opt	Desired probability of sensing equal to 𝐾/𝑁
𝑃𝑠_av	Average probability of sensing, averaged over 𝑀 time epochs
𝐽𝑘	Network utility function with 𝑘 active (sensing) users
𝐽𝑃𝑠_av	Network utility function with each SU sensing with probability 𝑃𝑠_av
𝜂𝑘	Resource efficiency
𝐼𝑘	Certainty factor = 1−𝑅𝑘
𝛼	Weightage given to the accuracy and resource efficiency 𝜂𝑘.
𝑃𝑑𝑖	Average probability of detection of the of ith SU
𝑃𝑓𝑖	Average probability of false alarm of the ith SU