Optimal Auction Design

@article{Myerson1981OptimalAD,
  title={Optimal Auction Design},
  author={Roger B. Myerson},
  journal={Math. Oper. Res.},
  year={1981},
  volume={6},
  pages={58-73}
}
  • R. Myerson
  • Published 1 February 1981
  • Economics
  • Math. Oper. Res.
This paper considers the problem faced by a seller who has a single object to sell to one of several possible buyers, when the seller has imperfect information about how much the buyers might be willing to pay for the object. The seller's problem is to design an auction game which has a Nash equilibrium giving him the highest possible expected utility. Optimal auctions are derived in this paper for a wide class of auction design problems. 

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References

SHOWING 1-10 OF 20 REFERENCES

Incentive Compatibility and the Bargaining Problem

Collective choice problems are studied from the Bayesian viewpoint. It is shown that the set of expected utility allocations which are feasible with incentive-compatible mechanisms is compact and

Toward a study of bidding processes : part IV, games with unknown costs

This paper represents a continuation of three previous papers [1-.3] in the study of competitive bidding processes. It treats the case where a bidder's knowledge of his competitor's cost i s given by

A Bidding Model of Perfect Competition

I demonstrate in this paper that price formation via the procedure of competitive bidding satisfies a version of the law of large numbers, in both the probabilistic sense and the economic sense. That

A Convergence Theorem for Competitive Bidding with Differential Information

IN THIS PAPER we investigate the properties of the winning bid in a sealed bid tender auction where each player has private information. We find that it is possible for the winning bid to converge in

Competitive Bidding: A Comprehensive Bibliography

This paper lists, alphabetically by first author, over 100 papers and books dealing with competitive bidding.

Games with Incomplete Information Played by 'Bayesian' Players, Part III. The Basic Probability Distribution of the Game

Parts I and II of this paper have described a new theory for the analysis of games with incomplete information. Two cases have been distinguished: consistent games in which there exists some basic

Games with Incomplete Information Played by “Bayesian” Players Part II. Bayesian Equilibrium Points

Part I of this paper has described a new theory for the analysis of games with incomplete information. It has been shown that, if the various players' subjective probability distributions satisfy a

Models for competitive bidding under uncertainty