Abstract

A modified second-price sealed-bid auction scheme is exploited to study the interaction between the primary transmitter(PT) and multiple untrusted half-duplex secondary transmitters(STs). The STs will eavesdrop on the primary transmission unless they are allowed to transmit with the PT simultaneously. The auction scheme provides an opportunity for intensive cooperation between the PT and untrusted STs which leads to the performance improvement of all the players. In the proposed scheme, a trisection search algorithm is employed to find the optimal bidding power of the STs in the presence of multiple eavesdroppers, and a bisection search algorithm is employed for the optimal transmit power of the winning ST. Numerical results show that the proposed scheme not only improves the achievable secrecy rate of the primary link but also increases the access opportunity of the STs.

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