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Competing Sellers in Security-Bid Auctions under Risk-Averse Bidders

Author

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  • Diego Carrasco-Novoa

    (School of Economics, University of Queensland, Brisbane, Australia)

  • Allan Hernández-Chanto

    (School of Economics, University of Queensland, Brisbane, Australia)

Abstract

We analyze security-bid auctions in which two risk-neutral sellers compete for riskaverse bidders. Sellers face a tradeoff in steepness because steeper securities extract more surplus but feature lower participation ex-ante. Nonetheless, steeper securities also provide higher insurance, making bidders more aggressive. We show that when bidders are homogeneously risk-averse, all equilibria are symmetric. Meanwhile, when they are heterogeneously risk-averse, there is always an equilibrium in which one seller chooses a steeper family to serve the more-risk-averse bidders, while the other chooses a flatter family to serve the less-risk-averse bidders. This result resembles a “Hotelling location” model in the steepness spectrum.

Suggested Citation

  • Diego Carrasco-Novoa & Allan Hernández-Chanto, 2022. "Competing Sellers in Security-Bid Auctions under Risk-Averse Bidders," Discussion Papers Series 655, School of Economics, University of Queensland, Australia.
    • Handle: RePEc:qld:uq2004:655
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    File URL: https://economics.uq.edu.au/files/39806/655.pdf
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    References listed on IDEAS

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    1. Holmstrom, Bengt & Tirole, Jean, 2000. "Liquidity and Risk Management," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 32(3), pages 295-319, August.
    2. Matthew Rhodes-Kropf & S. Viswanathan, 2000. "Corporate Reorganizations and Non-Cash Auctions," Journal of Finance, American Finance Association, vol. 55(4), pages 1807-1854, August.
    3. Tingjun Liu & Dan Bernhardt, 2021. "Rent Extraction with Securities Plus Cash," Journal of Finance, American Finance Association, vol. 76(4), pages 1869-1912, August.
    4. Hernandez-Chanto, Allan & Fioriti, Andres, 2019. "Bidding securities in projects with negative externalities," European Economic Review, Elsevier, vol. 118(C), pages 14-36.
    5. Bulow, Jeremy & Klemperer, Paul, 1996. "Auctions versus Negotiations," American Economic Review, American Economic Association, vol. 86(1), pages 180-194, March.
    6. Schosser, Josef, 2019. "Consistency between principal and agent with differing time horizons: Computing incentives under risk," European Journal of Operational Research, Elsevier, vol. 277(3), pages 1113-1123.
    7. Hansen, Robert G, 1985. "Auctions with Contingent Payments," American Economic Review, American Economic Association, vol. 75(4), pages 862-865, September.
    8. Matthew Rhodes‐Kropf & S. Viswanathan, 2000. "Corporate Reorganizations and Non‐Cash Auctions," Journal of Finance, American Finance Association, vol. 55(4), pages 1807-1849, August.
    9. Michael Peters, 1997. "A Competitive Distribution of Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(1), pages 97-123.
    10. Peter M. DeMarzo & Ilan Kremer & Andrzej Skrzypacz, 2005. "Bidding with Securities: Auctions and Security Design," American Economic Review, American Economic Association, vol. 95(4), pages 936-959, September.
    11. Bruno Biais & David Martimort & Jean-Charles Rochet, 2000. "Competing Mechanisms in a Common Value Environment," Econometrica, Econometric Society, vol. 68(4), pages 799-838, July.
    12. Matthews, Steven, 1987. "Comparing Auctions for Risk Averse Buyers: A Buyer's Point of View," Econometrica, Econometric Society, vol. 55(3), pages 633-646, May.
    13. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
    14. Burguet, Roberto & Sakovics, Jozsef, 1999. "Imperfect Competition in Auction Designs," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(1), pages 231-247, February.
    15. Hernando-Veciana, Angel, 2005. "Competition among auctioneers in large markets," Journal of Economic Theory, Elsevier, vol. 121(1), pages 107-127, March.
    16. Liu, Tingjun & Bernhardt, Dan, 2019. "Optimal equity auctions with two-dimensional types," Journal of Economic Theory, Elsevier, vol. 184(C).
    17. Gordon M. Bodnar & Erasmo Giambona & John R. Graham & Campbell R. Harvey, 2019. "A View Inside Corporate Risk Management," Management Science, INFORMS, vol. 65(11), pages 5001-5026, November.
    18. Damian Damianov, 2012. "Seller competition by mechanism design," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(1), pages 105-137, September.
    19. d'Aspremont, C & Gabszewicz, Jean Jaskold & Thisse, J-F, 1979. "On Hotelling's "Stability in Competition"," Econometrica, Econometric Society, vol. 47(5), pages 1145-1150, September.
    20. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    21. Takeharu Sogo & Dan Bernhardt & Tingjun Liu, 2016. "Endogenous Entry to Security-Bid Auctions," American Economic Review, American Economic Association, vol. 106(11), pages 3577-3589, November.
    22. Shimon Kogan & John Morgan, 2010. "Securities Auctions under Moral Hazard: An Experimental Study," Review of Finance, European Finance Association, vol. 14(3), pages 477-520.
    23. Thomas R. Covert & Richard L. Sweeney, 2019. "Relinquishing Riches: Auctions vs Informal Negotiations in Texas Oil and Gas Leasing," NBER Working Papers 25712, National Bureau of Economic Research, Inc.
    24. DeMarzo, Peter M & Duffie, Darrell, 1995. "Corporate Incentives for Hedging and Hedge Accounting," Review of Financial Studies, Society for Financial Studies, vol. 8(3), pages 743-771.
    25. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    26. Froot, Kenneth A & Scharfstein, David S & Stein, Jeremy C, 1993. "Risk Management: Coordinating Corporate Investment and Financing Policies," Journal of Finance, American Finance Association, vol. 48(5), pages 1629-1658, December.
    27. Yeon-Koo Che & Jinwoo Kim, 2010. "Bidding with Securities: Comment," American Economic Review, American Economic Association, vol. 100(4), pages 1929-1935, September.
    28. Alexander S. Gorbenko & Andrey Malenko, 2011. "Competition among Sellers in Securities Auctions," American Economic Review, American Economic Association, vol. 101(5), pages 1806-1841, August.
    29. Athey, Susan, 2001. "Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Econometrica, Econometric Society, vol. 69(4), pages 861-889, July.
    30. John R. Graham & Clifford W. Smith, 1999. "Tax Incentives to Hedge," Journal of Finance, American Finance Association, vol. 54(6), pages 2241-2262, December.
    31. Abhishek, Vineet & Hajek, Bruce & Williams, Steven R., 2015. "On bidding with securities: Risk aversion and positive dependence," Games and Economic Behavior, Elsevier, vol. 90(C), pages 66-80.
    32. Epstein, Larry G. & Peters, Michael, 1999. "A Revelation Principle for Competing Mechanisms," Journal of Economic Theory, Elsevier, vol. 88(1), pages 119-160, September.
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