Kotowski, Maciej and Li, Fei (2011): On the continuous equilibria of affiliated-value, all-pay auctions with private budget constraints.
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We consider all-pay auctions in the presence of interdependent, affiliated valuations and private budget constraints. For the sealed-bid, all-pay auction we characterize a symmetric equilibrium in continuous strategies for the case of N bidders and we investigate its properties. Budget constraints encourage more aggressive bidding among participants with large endowments and intermediate valuations. We extend our results to the war of attrition where we show that budget constraints lead to a uniform amplification of equilibrium bids. An example shows that with both interdependent valuations and private budget constraints, a revenue ranking between the two mechanisms is generally not possible.
|Item Type:||MPRA Paper|
|Original Title:||On the continuous equilibria of affiliated-value, all-pay auctions with private budget constraints|
|English Title:||On the Continuous Equilibria of Affiliated-Value, All-Pay Auctions with Private Budget Constraints|
|Keywords:||All-Pay Auction, Budget Constraints, Lobbying, War of Attrition, Common Values, Private Values|
|Subjects:||D - Microeconomics > D4 - Market Structure, Pricing, and Design > D44 - Auctions|
|Depositing User:||Fei Li|
|Date Deposited:||15. Jan 2012 21:18|
|Last Modified:||15. Feb 2013 21:13|
Baye, Michael R., Kovenock, Dan, & de Vries, Casper G. 1996. The all-pay Auction with Complete Information. Economic Theory, 8(2), 291–305.
Che, Yeon-Koo, & Gale, Ian. 1998. Standard Auctions with Financially Constrained Bidders. Review of Economic Studies, 65(1), 1–21.
de Castro, Luciano I. 2010 (March). Affiliation, Equilibrium Existence and Revenue Ranking of Auctions. Working Paper.
Dekel, Eddie, Jackson, Matthew O., & Wolinsky, Asher. 2006 (August). Jump Bidding and Budget Constraints in All-Pay Auctions and Wars of Attrition. Mimeo, Northwestern University.
Fang, Hanming, & Parreiras, Sérgio. 2002. Equilibrium of Aﬃliated Value Second Price Auctions with Financially Constrained Bidders: The Two-Bidder Case. Games and Economic Behavior, 39, 215–236.
Fang, Hanming, & Parreiras, Sérgio. 2003. On the Failure of the Linkage Principle with Financially Constrained Bidders. Journal of Economic Theory, 110, 374--392.
Hickman, Brent R. 2011 (Spring). Effort, Race Gaps and Affirmative Action: A Game-Theoretic Analysis of College Admissions. Working Paper, University of Chicago.
Kotowski, Maciej H. 2010 (November). First-Price Auctions with Budget Constraints. Working Paper. University of California, Berkeley.
Krishna, Vijay. 2002. Auction Theory. San Diego, CA: Academic Press.
Krishna, Vijay, & Morgan, John. 1997. An Analysis of the War of Attrition and the All-Pay Auction. Journal of Economic Theory, 72(2), 343–362.
Lebrun, Bernard. 1999. First Price Auctions in the Asymmetric N Bidder Case. International Economic Review, 40(1), 125--142.
Leininger, Wolfgang. 1991. Patent Competition, Rent Dissipation, and the Persistence of Monopoly: The Role of Research Budgets. Journal of Economic Theory, 53, 146--172.
Maskin, Eric S. 2000. Auctions, Development, and Privatization: Efficient Auctions with Liquidity-Constrained Buyers. European Economic Review, 44(4--6), 667--681.
Maskin, Eric S., & Riley, John. 2003. Uniqueness of Economic in Sealed High-Bid Auctions. Games and Economic Behavior, 45, 395--409.
Milgrom, Paul, & Weber, Robert J. 1982. A Theory of Auctions and Competitive Bidding.Econometrica, 50(5), 1089–1122.
Pai, Mallesh M., & Vohra, Rakesh. 2011 (March). Optimal Auctions with Financially Constrained Bidders. Working Paper, University of Pennsylvania.
Zheng, Charles Z. 2001. High Bids and Broke Winners. Journal of Economic Theory, 100(1), 129--171.
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All-Pay Auctions with Budget Constraints. (deposited 24. Apr 2011 13:01)
- On the continuous equilibria of affiliated-value, all-pay auctions with private budget constraints. (deposited 15. Jan 2012 21:18) [Currently Displayed]