Monotonicity in Asymmetric First-Price Auctions with Affiliation PDF Download
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Author: David McAdams
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
I study monotonicity of equilibrium strategies in first-price auctions with symmetric bidders, risk-aversion, affiliated types, and interdependent values. I prove that every mixed-strategy equilibrium is outcome equivalent to a monotone pure strategy equilibrium under the priority rule for breaking ties. This provides a missing link to establish uniqueness in Milgrom and Weber (1982)'s general symmetric model. Non-monotone equilibria can exist under the coin-flip rule but they are distinguishable: all non-monotone equilibria have positive probability of ties whereas all monotone equilibria have zero probability of ties. This provides a justification for the standard empirical practice of restricting attention to monotone strategies.
Author: David McAdams
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
I study monotonicity of equilibrium strategies in first-price auctions with symmetric bidders, risk-aversion, affiliated types, and interdependent values. I prove that every mixed-strategy equilibrium is outcome equivalent to a monotone pure strategy equilibrium under the priority rule for breaking ties. This provides a missing link to establish uniqueness in Milgrom and Weber (1982)'s general symmetric model. Non-monotone equilibria can exist under the coin-flip rule but they are distinguishable: all non-monotone equilibria have positive probability of ties whereas all monotone equilibria have zero probability of ties. This provides a justification for the standard empirical practice of restricting attention to monotone strategies.
Author: David McAdams
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ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Every mixed strategy equilibrium is outcome equivalent to a monotone pure strategy equilibrium in asymmetric first-price auctions in which n bidders have affiliated, one-dimensional, atomless types and interdependent values.
Author: Zvi Griliches
Publisher: Elsevier
ISBN: 0444887660
Category : Business & Economics
Languages : en
Pages : 1013
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Book Description
The Handbook is a definitive reference source and teaching aid for econometricians. It examines models, estimation theory, data analysis and field applications in econometrics.
Author: James J. Heckman
Publisher: Elsevier
ISBN: 0080556280
Category : Business & Economics
Languages : en
Pages : 1013
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Book Description
As conceived by the founders of the Econometric Society, econometrics is a field that uses economic theory and statistical methods to address empirical problems in economics. It is a tool for empirical discovery and policy analysis. The chapters in this volume embody this vision and either implement it directly or provide the tools for doing so. This vision is not shared by those who view econometrics as a branch of statistics rather than as a distinct field of knowledge that designs methods of inference from data based on models of human choice behavior and social interactions. All of the essays in this volume and its companion volume 6B offer guidance to the practitioner on how to apply the methods they discuss to interpret economic data. The authors of the chapters are all leading scholars in the fields they survey and extend. *Part of the renowned Handbooks in Economics Series*Updates and expands the exisiting Handbook of Econometrics volumes*An invaluable reference written by some of the world's leading econometricians.
Author: Petyon Young
Publisher: Elsevier
ISBN: 0444537678
Category : Mathematics
Languages : en
Pages : 1025
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Book Description
The ability to understand and predict behavior in strategic situations, in which an individual’s success in making choices depends on the choices of others, has been the domain of game theory since the 1950s. Developing the theories at the heart of game theory has resulted in 8 Nobel Prizes and insights that researchers in many fields continue to develop. In Volume 4, top scholars synthesize and analyze mainstream scholarship on games and economic behavior, providing an updated account of developments in game theory since the 2002 publication of Volume 3, which only covers work through the mid 1990s. Focuses on innovation in games and economic behavior Presents coherent summaries of subjects in game theory Makes details about game theory accessible to scholars in fields outside economics
Author: David McAdams
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
The first-price auction has a unique monotone pure strategy equilibrium when there are n symmetric risk-averse bidders having affiliated types and interdependent values.
Author: Sudip Gupta
Publisher:
ISBN:
Category :
Languages : en
Pages : 148
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Book Description
Author: Gustavo RodrÃguez
Publisher:
ISBN:
Category : Auctions
Languages : en
Pages : 15
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Book Description
Author: Isa Emin Hafalir
Publisher:
ISBN:
Category :
Languages : en
Pages : 39
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Book Description
We study equilibria of first- and second-price auctions with resale in a model with independent private values. With asymmetric bidders, the resulting inefficiencies create a motive for post-auction trade. In our basic model, resale takes place via monopoly pricing - the winner of the auction makes a take-it-or-leave-it offer to the loser after updating his prior beliefs based on his winning. We show that a first-price auction with resale has a unique monotonic equilibrium. Our main result is that with resale, the expected revenue from a first-price auction exceeds that from a second-price auction. The results extend to other resale mechanisms: monopsony and, more generally, probabilistic k-double auctions. The inclusion of resale possibilities thus permits a general revenue ranking of the two auctions that is not available when these are excluded.
Author: Todd R. Kaplan
Publisher:
ISBN:
Category :
Languages : en
Pages : 43
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Book Description
While auction research, including asymmetric auctions, has grown significantly in recent years, there is still little analytical solutions of first-price auctions outside the symmetric case. Even in the uniform case, Griesmer et al. (1967) and Plum (1992) find solutions only to the case where the lower bounds of the two distributions are the same. We present the general analytical solutions to asymmetric auctions in the uniform case for two bidders, both with and without a minimum bid. We show that our solution is consistent with the previously known solutions of auctions with uniform distributions. Several interesting examples are presented including a class where the two bid functions are linear. We hope this result improves our understanding of auctions and provides a useful tool for future research in auctions.
