Maximizing Non-Monotone Submodular Functions
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Optimal marketing strategies over social networks
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Sponsored Search Auctions with Markovian Users
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Optimal pricing in the presence of local network effects
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Optimal iterative pricing over social networks
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Equilibrium pricing with positive externalities
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Submodular maximization by simulated annealing
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On allocations with negative externalities
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How to approximate optimal auctions
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Optimal Pricing in Networks with Externalities
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Computing a profit-maximizing sequence of offers to agents in a social network
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On fixed-price marketing for goods with positive network externalities
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Differential pricing with inequity aversion in social networks
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Pricing public goods for private sale
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Competitive auctions for markets with positive externalities
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We consider the problem of designing auctions in social networks for goods that exhibit single-parameter submodular network externalities in which a bidder's value for an outcome is a fixed private type times a known submodular function of the allocation of his friends. Externalities pose many issues that are hard to address with traditional techniques; our work shows how to resolve these issues in a specific setting of particular interest. We operate in a Bayesian environment and so assume private values are drawn according to known distributions. We prove that the optimal auction is APX-hard. Thus we instead design auctions whose revenue approximates that of the optimal auction. Our main result considers step-function externalities in which a bidder's value for an outcome is either zero, or equal to his private type if at least one friend has the good. For these settings, we provide a e/e+1-approximation. We also give a $0.25$-approximation auction for general single-parameter submodular network externalities, and discuss optimizing over a class of simple pricing strategies.