The use of shapley value to power allocation games in cognitive radio networks
IEA/AIE'12 Proceedings of the 25th international conference on Industrial Engineering and Other Applications of Applied Intelligent Systems: advanced research in applied artificial intelligence
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Let{(U_{i},V_{i})}_{i=1}^{n}be a source of independent identically distributed (i.i.d.) discrete random variables with joint probability mass functionp(u,v)and common partw=f(u)=g(v)in the sense of Witsenhausen, Gacs, and Körner. It is shown that such a source can be sent with arbitrarily small probability of error over a multiple access channel (MAC){cal X_{1} times cal X_{2},cal Y,p(y|x_{1},x_{2})},with allowed codes{x_{l}(u), x_{2}(v)}if there exist probability mass functionsp(s), p(x_{1}|s,u),p(x_{2}|s,v), such thatH(U|V)