Optimal payments in dominant-strategy mechanisms for single-parameter domains

We study dominant-strategy mechanisms in allocation domains where agents have one-dimensional types and quasilinear utilities. Taking an allocation function as an input, we present an algorithmic technique for finding optimal payments in a class of mechanism design problems, including utilitarian an...

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Bibliographic Details
Main Authors: Naroditskiy, Victor (Author), Polukarov, Maria (Author), Jennings, Nicholas R. (Author)
Format: Article
Language:English
Published: 2013-02-22.
Subjects:
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100 1 0 |a Naroditskiy, Victor  |e author 
700 1 0 |a Polukarov, Maria  |e author 
700 1 0 |a Jennings, Nicholas R.  |e author 
245 0 0 |a Optimal payments in dominant-strategy mechanisms for single-parameter domains 
260 |c 2013-02-22. 
856 |z Get fulltext  |u https://eprints.soton.ac.uk/336512/1/main.pdf 
856 |z Get fulltext  |u https://eprints.soton.ac.uk/336512/2/a4-naroditskiy.pdf 
520 |a We study dominant-strategy mechanisms in allocation domains where agents have one-dimensional types and quasilinear utilities. Taking an allocation function as an input, we present an algorithmic technique for finding optimal payments in a class of mechanism design problems, including utilitarian and egalitarian allocation of homogeneous items with nondecreasing marginal costs. Our results link optimality of payment functions to a geometric condition involving triangulations of polytopes. When this condition is satisfied, we constructively show the existence of an optimal payment function that is piecewise linear in agent types. 
655 7 |a Article