Mechanism design with uncertain inputs: (to err is human, to forgive divine)

@inproceedings{Feige2011MechanismDW,
  title={Mechanism design with uncertain inputs: (to err is human, to forgive divine)},
  author={Uriel Feige and Moshe Tennenholtz},
  booktitle={STOC '11},
  year={2011}
}
We consider a task of scheduling with a common deadline on a single machine. Every player reports to a scheduler the length of his job and the scheduler needs to finish as many jobs as possible by the deadline. For this simple problem, there is a truthful mechanism that achieves maximum welfare in dominant strategies. The new aspect of our work is that in our setting players are uncertain about their own job lengths, and hence are incapable of providing truthful reports (in the strict sense of… 
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References

SHOWING 1-10 OF 32 REFERENCES
Truthful mechanism design for multi-dimensional scheduling via cycle monotonicity
TLDR
This work designs randomized mechanisms with non-trivial performance guarantees for a multidimensional scheduling domain, and is the first work that leverages cycle monotonicity in the multiddimensional setting.
Truthful mechanisms for one-parameter agents
  • Aaron ArcherÉ. Tardos
  • Computer Science
    Proceedings 2001 IEEE International Conference on Cluster Computing
  • 2001
TLDR
An exact characterization for the algorithms that can be used to design truthful mechanisms for such load balancing problems using appropriate side payments is given, and a lower bound of 2//spl radic/3 is proved for the best approximation ratio achievable by truthful mechanism.
Approximate mechanism design without money
TLDR
This paper establishes tight upper and lower bounds for the approximation ratio given by strategyproof mechanisms without payments, with respect to both deterministic and randomized mechanisms, under two objective functions: the social cost, and the maximum cost.
Mechanism design for online real-time scheduling
TLDR
This work considers the problem of online real-time scheduling of jobs on a single processor in an economic setting, and presents a matching lower bound for deterministic mechanisms that never pay the agents.
Truthful and near-optimal mechanism design via linear programming
  • R. LaviChaitanya Swamy
  • Computer Science
    46th Annual IEEE Symposium on Foundations of Computer Science (FOCS'05)
  • 2005
TLDR
The construction of the first truthful mechanisms with approximation guarantees for a variety of multi-parameter domains can be seen as a way of exploiting VCG in a computational tractable way even when the underlying social-welfare maximization problem is NP-hard.
Scheduling with Opting Out: Improving upon Random Priority
TLDR
In a scheduling problem where agents can opt out, it is shown that the familiar random priority RP mechanism can be improved upon by another mechanism dubbed probabilistic serial PS, which is Pareto superior to the former and serves a larger expected number of agents.
Strategyproof Approximation of the Minimax on Networks
TLDR
This work designs a novel “hybrid” strategyproof randomized mechanism that provides a tight approximation ratio of 3/2 when the network is a circle (known as a ring in the case of computer networks) and shows that no randomized SP mechanism can provide an approximation ratio better than 2 - o (1), even when thenetwork is a tree.
Truth revelation in approximately efficient combinatorial auctions
TLDR
It is shown that the GVA payment scheme does not provide for a truth revealing mechanism, and another scheme is introduced that does guarantee truthfulness for a restricted class of players.
PASS Approximation
TLDR
A new framework for designing and analyzing algorithms that provides a justification for preferring a certain natural greedy rule over some alternative greedy rules that have been used in similar contexts and designs a new LP relaxation coupled with a new randomized rounding technique.
Auctions and Bidding: A Primer
Maybe the contractor was right to think bid jobs are different, but it is more likely that he suffered from too simple a view of what is involved in preparing a competitive bid. Our analysis will
...
...