IDEAS home Printed from https://ideas.repec.org/p/cla/levrem/122247000000000662.html
   My bibliography  Save this paper

Non-Monotone Comparative Statics in Games of Incomplete Information

Author

Listed:
  • Ed Hopkins
  • Tatiana Kornienko

Abstract

This paper analyses comparative statics for two classes of n-player games of incomplete information with continuous action spaces. The two classes are defined by differences in the payoff and behaviour of the weakest type: the lowest value bidder or highest cost firm. We show that in "weakly competitive games", including all-pay auctions and some oligopoly models, weak types will respond to a stochastically higher distribution of types by playing less aggressively. In "strongly competitive" games, all types play more aggressively. Furthermore, we show that a decrease in dispersion of types, in the sense of a refinement of second order stochastic dominance, although also associated with an increase in competitiveness, may in addition result in less aggressive play by strong types in both strongly and weakly competitive games.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Ed Hopkins & Tatiana Kornienko, 2004. "Non-Monotone Comparative Statics in Games of Incomplete Information," Levine's Bibliography 122247000000000662, UCLA Department of Economics.
  • Handle: RePEc:cla:levrem:122247000000000662
    as

    Download full text from publisher

    File URL: http://homepages.ed.ac.uk/ehk/non-monotone.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Benny Moldovanu & Aner Sela, 2008. "The Optimal Allocation of Prizes in Contests," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 615-631, Springer.
    2. Varian, Hal R, 1980. "A Model of Sales," American Economic Review, American Economic Association, vol. 70(4), pages 651-659, September.
    3. Maskin, Eric & Riley, John, 2003. "Uniqueness of equilibrium in sealed high-bid auctions," Games and Economic Behavior, Elsevier, vol. 45(2), pages 395-409, November.
    4. Bagwell, Kyle & Wolinsky, Asher, 2002. "Game theory and industrial organization," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 49, pages 1851-1895, Elsevier.
    5. Eric Maskin & John Riley, 2000. "Asymmetric Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 413-438.
    6. Ed Hopkins & Tatiana Kornienko, 2004. "Running to Keep in the Same Place: Consumer Choice as a Game of Status," American Economic Review, American Economic Association, vol. 94(4), pages 1085-1107, September.
    7. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    8. Lebrun, Bernard, 1998. "Comparative Statics in First Price Auctions," Games and Economic Behavior, Elsevier, vol. 25(1), pages 97-110, October.
    9. Paul R. Milgrom, 1981. "Good News and Bad News: Representation Theorems and Applications," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 380-391, Autumn.
    10. Larry Samuelson, 2004. "Information-Based Relative Consumption Effects," Econometrica, Econometric Society, vol. 72(1), pages 93-118, January.
    11. Kagel, John H. & Levin, Dan, 1986. "The Winner's Curse and Public Information in Common Value Auctions," American Economic Review, American Economic Association, vol. 76(5), pages 894-920, December.
    12. Krishna, Vijay & Morgan, John, 1997. "An Analysis of the War of Attrition and the All-Pay Auction," Journal of Economic Theory, Elsevier, vol. 72(2), pages 343-362, February.
    13. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    14. Susan Athey, 2002. "Monotone Comparative Statics under Uncertainty," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(1), pages 187-223.
    15. Eric Maskin & John Riley, 2000. "Equilibrium in Sealed High Bid Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 439-454.
    16. Jacob K. Goeree & Theo Offerman, 2003. "Competitive Bidding in Auctions with Private and Common Values," Economic Journal, Royal Economic Society, vol. 113(489), pages 598-613, July.
    17. An, Mark Yuying, 1998. "Logconcavity versus Logconvexity: A Complete Characterization," Journal of Economic Theory, Elsevier, vol. 80(2), pages 350-369, June.
    18. Spulber, Daniel F, 1995. "Bertrand Competition When Rivals' Costs Are Unknown," Journal of Industrial Economics, Wiley Blackwell, vol. 43(1), pages 1-11, March.
    19. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
    20. Ramos, Hector M. & Ollero, Jorge & Sordo, Miguel A., 2000. "A Sufficient Condition for Generalized Lorenz Order," Journal of Economic Theory, Elsevier, vol. 90(2), pages 286-292, February.
    21. John H. Kagel & Colin M. Campbell & Dan Levin, 1999. "The Winner's Curse and Public Information in Common Value Auctions: Reply," American Economic Review, American Economic Association, vol. 89(1), pages 325-334, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ed Hopkins & Tatiana Kornienko, 2006. "Which Inequality? The Inequality of Resources Versus the Inequality of Rewards," Levine's Bibliography 784828000000000621, UCLA Department of Economics.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ed Hopkins & Tatiana Kornienko, 2007. "Cross and Double Cross: Comparative Statics in First Price Auctions," Levine's Bibliography 321307000000000831, UCLA Department of Economics.
    2. Ed Hopkins & Tatiana Kornienko, 2003. "Ratio Orderings and Comparative Statics," Edinburgh School of Economics Discussion Paper Series 91, Edinburgh School of Economics, University of Edinburgh.
    3. Lorentziadis, Panos L., 2016. "Optimal bidding in auctions from a game theory perspective," European Journal of Operational Research, Elsevier, vol. 248(2), pages 347-371.
    4. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    5. Kirkegaard, René, 2009. "Asymmetric first price auctions," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1617-1635, July.
    6. Mares, Vlad & Swinkels, Jeroen M., 2014. "On the analysis of asymmetric first price auctions," Journal of Economic Theory, Elsevier, vol. 152(C), pages 1-40.
    7. Rene Kirkegaard, 2005. "A Simple Approach to Analyzing Asymmetric First Price Auctions," Working Papers 0504, Brock University, Department of Economics, revised Nov 2005.
    8. Ed Hopkins & Tatiana Kornienko, 2004. "Running to Keep in the Same Place: Consumer Choice as a Game of Status," American Economic Review, American Economic Association, vol. 94(4), pages 1085-1107, September.
    9. Emiel Maasland & Sander Onderstal, 2006. "Going, Going, Gone! A Swift Tour of Auction Theory and its Applications," De Economist, Springer, vol. 154(2), pages 197-249, June.
    10. Elbittar, Alexander, 2009. "Impact of valuation ranking information on bidding in first-price auctions: A laboratory study," Journal of Economic Behavior & Organization, Elsevier, vol. 69(1), pages 75-85, January.
    11. Rittwik Chatterjee, 2013. "A Brief Survey of the Theory of Auction," South Asian Journal of Macroeconomics and Public Finance, , vol. 2(2), pages 169-191, December.
    12. Joao Montez & Nicolas Schutz, 2021. "All-Pay Oligopolies: Price Competition with Unobservable Inventory Choices [Extremal Equilibria of Oligopolistic Supergames]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(5), pages 2407-2438.
    13. de Castro, Luciano I. & de Frutos, María-Angeles, 2010. "How to translate results from auctions to procurements," Economics Letters, Elsevier, vol. 106(2), pages 115-118, February.
    14. Lebrun, Bernard, 2006. "Uniqueness of the equilibrium in first-price auctions," Games and Economic Behavior, Elsevier, vol. 55(1), pages 131-151, April.
    15. Prokopovych, Pavlo & Yannelis, Nicholas C., 2019. "On monotone approximate and exact equilibria of an asymmetric first-price auction with affiliated private information," Journal of Economic Theory, Elsevier, vol. 184(C).
    16. Péter Esö & Lucy White, 2004. "Precautionary Bidding in Auctions," Econometrica, Econometric Society, vol. 72(1), pages 77-92, January.
    17. Cantillon, Estelle, 2008. "The effect of bidders' asymmetries on expected revenue in auctions," Games and Economic Behavior, Elsevier, vol. 62(1), pages 1-25, January.
    18. Sanyyam Khurana, 2020. "Asymmetric auctions with risk averse preferences," Working papers 304, Centre for Development Economics, Delhi School of Economics.
    19. Committee, Nobel Prize, 2020. "Improvements to auction theory and inventions of new auction formats," Nobel Prize in Economics documents 2020-2, Nobel Prize Committee.
    20. Bagwell Kyle & Lee Gea M, 2010. "Advertising Competition in Retail Markets," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 10(1), pages 1-38, August.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cla:levrem:122247000000000662. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: David K. Levine (email available below). General contact details of provider: http://www.dklevine.com/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.