This discussion paper led to a publication in 'Social Choice and Welfare', 2005, 24, 439-454.<P> Many economic and social situations can be represented by a digraph. Both axiomatic and iterativemethods to determine the strength or power of all the nodes in a digraph have been proposed inthe...</p>

We present a strategic game of pricing and targeted-advertising. Firms cansimultaneously target priceadvertisements to different groups of customers, or to the entiremarket. Pure strategy equilibria do not exist and thus marketsegmentation cannot occur surely. Equilibria exhibit random...