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We study a simple game theoretic model for the spread of an innovation in a network. The diffusion of the innovation is modeled as the dynamics of a coordination game in which the adoption of a common strategy between players has a higher payoff. Classical results in game theory provide a simple condition for an innovation to become widespread in the network. The present paper characterizes the rate...
We present a new lossy compression algorithm for discrete sources. The encoder assigns a certain cost to each reconstruction sequence, finds the sequence that minimizes the cost, and describes it losslessly to the decoder via a universal lossless compressor. The cost of a sequence is defined as a linear combination of its empirical probabilities of some order k + 1 and its distortion relative to the...
We present a new lossy compressor for discrete sources. For coding a source sequence xn, the encoder starts by assigning a certain cost to each reconstruction sequence. It then finds the reconstruction that minimizes this cost and describes it losslessly to the decoder via a universal lossless compressor. The cost of a sequence is given by a linear combination of its empirical probabilities of some...
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