Koçyiğit, Ç.Bayrak, Halil İbrahimPınar, Mustafa Çelebi2019-02-212019-02-2120180254-5330http://hdl.handle.net/11693/50406It is commonly assumed in the optimal auction design literature that valuations of buyers are independently drawn from a unique distribution. In this paper we study auctions under ambiguity, that is, in an environment where valuation distribution is uncertain itself, and present a linear programming approach to robust auction design problem with a discrete type space. We develop an algorithm that gives the optimal solution to the problem under certain assumptions when the seller is ambiguity averse with a finite prior set P and the buyers are ambiguity neutral with a prior f∈ P. We also consider the case where all parties, the buyers and the seller, are ambiguity averse, and formulate this problem as a mixed integer programming problem. Then, we propose a hybrid algorithm that enables to compute an optimal solution for the problem in reduced time.EnglishAmbiguityLinear programmingMixed-integer programmingMultiple priorsOptimal auction designRobustnessRobust auction design under multiple priors by linear and integer programmingArticle10.1007/s10479-017-2416-4