We consider applications of probabilistic techniques in the framework of algorithmic game theory. We focus on three distinct case studies: (i) The exploitation of the probabilistic...
Abstract. We continue the recently initiated study of the computational aspects of weak saddles, an ordinal set-valued solution concept proposed by Shapley. Brandt et al. gave a po...
Felix Brandt, Markus Brill, Felix A. Fischer, Jan ...
Roberts’ theorem from 1979 states that the only incentive compatible mechanisms over a full domain and range of at least 3 are weighted variants of the VCG mechanism termed affin...
Abstract. This paper studies a setting where a principal needs to motivate teams of agents whose efforts lead to an outcome that stochastically depends on the combination of agent...
Let A be a randomized, unlimited supply, unit demand, single-item auction, which given a bid-vector b ∈ [h]n , has expected profit E[P(b)]. Aggarwal et al. showed that given A, ...
Abstract. A mechanism is manipulable if it is in some agents’ best interest to misrepresent their private information. The revelation principle establishes that, roughly, anythin...
Abstract. In game theory, a player’s action is said to be weakly dominated if there exists another action that, with respect to what the other players do, is never worse and some...
Felix Brandt, Markus Brill, Felix A. Fischer, Paul...
We study auctions whose bidders are embedded in a social or economic network. As a result, even bidders who do not win the auction themselves might derive utility from the auction,...