An Envy-free Pricing Algorithm for Multi Item Market with Covering Constraints

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In recent years, with the spread of personal computers and smartphones, the advertisement distribution market through the Internet is growing. Most of the advertisement distribution service is a listing advertisement displayed in accordance with attributes of users and search words. One of an interest topic of item allocation and pricing problem is an envy-freeness. A key idea of envy-free is that no buyer has incentive to exchange own items and its payment pair with another buyer's items and its payment pair. It is known that a revenue maximization problem with envy-freeness is a NP-hard problem. In this paper, we study a special case of multi items envy-free allocation problems. Every buyer has a unit valuation, a budget and a preferred item set the buyer wants.

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