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- W2542060167 abstract "We consider the design of an optimal mechanism for a seller selling two items to a single buyer so that the expected revenue to the seller is maximized. The buyer's valuation of the two items is assumed to be the uniform distribution over an arbitrary rectangle $$[c_1,c_1+b_1]times [c_2,c_2+b_2]$$ in the positive quadrant. The solution to the case when $$c_1,c_2=0,0$$ was already known. We provide an explicit solution for arbitrary nonnegative values of $$c_1,c_2,b_1,b_2$$. We prove that the optimal mechanism is to sell the two items according to one of eight simple menus. We also prove that the solution is deterministic when either $$c_1$$ or $$c_2$$ is beyond a threshold. Finally, we conjecture that our methodology can be extended to a wider class of distributions. We also provide some preliminary results to support the conjecture." @default.
- W2542060167 created "2016-11-04" @default.
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- W2542060167 date "2016-01-01" @default.
- W2542060167 modified "2023-10-06" @default.
- W2542060167 title "Optimal Mechanism for Selling Two Items to a Single Buyer Having Uniformly Distributed Valuations" @default.
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- W2542060167 doi "https://doi.org/10.1007/978-3-662-54110-4_13" @default.
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