# Power control infeasibility consider a three link

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2.Power control infeasibility??Consider a three-link cell with the link gainsGijshown below. The receiversrequestγ1= 1, γ2= 2, andγ3= 1. The noiseni= 0.1 for alli.G=10.50.50.510.50.50.51.Prove this set of target SIRs is infeasible.
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Solving this system of linear equations, we find thatp1≤ −0.4, p2≤ −0.6, p30.4, which is infeasible since the powers are negative. This problem can also besolved using the Perron-Frobenius theorem discussed in the Advanced Material.
Problem 2.1Three advertisers (1,2,3) bid for two ad spaces (A, B). The average revenues per click are \$6,\$4, \$3 for the bidders, respectively, and the clickthrough rate of the ad spaces are 500, 300 clicksper hour respectively.(a) Draw the bipartite graph with nodes indicating advertisers/ad spaces and edges indicatingvalues per hour. Indicate the maximum matching with bold lines.(b) Assume a GSP auction with truthful bidding, what is the result of the auction in terms ofthe allocation, the prices charged, and the payoffs received?Solution:
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