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Equilibria in first price auctions with participation costs

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  • Cao, Xiaoyong
  • Tian, Guoqiang

Abstract

This paper characterizes the equilibria of first price auctions with participation costs in the independent private values environment. Bidders use cutoff strategies to decide whether they will participate in the auction. It is shown that, when bidders are homogeneous, there always exists a unique symmetric equilibrium, and further, there is no other equilibrium when valuation distribution functions are inelastic. When distribution functions are elastic at the symmetric equilibrium, there exists an asymmetric equilibrium. Inelasticity/elasticity includes concavity/convexity of distribution functions as a special case. We find similar results when bidders are heterogeneous.

Suggested Citation

  • Cao, Xiaoyong & Tian, Guoqiang, 2010. "Equilibria in first price auctions with participation costs," Games and Economic Behavior, Elsevier, vol. 69(2), pages 258-273, July.
    • Handle: RePEc:eee:gamebe:v:69:y:2010:i:2:p:258-273
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Cao, Xiaoyong & Hsueh, Shao-Chieh & Wang, Wei, 2020. "On stability of efficient cartel mechanisms in first-price auctions with uninformed bidders," Economics Letters, Elsevier, vol. 187(C).
    2. 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.
    3. Xiaoyong Cao & Jiong Gong & Guoqiang Tian, 2022. "State aid in government procurement," The World Economy, Wiley Blackwell, vol. 45(12), pages 3933-3946, December.
    4. Ginzburg, Boris, 2019. "A Simple Model of Competitive Testing," MPRA Paper 99463, University Library of Munich, Germany.
    5. Xiaoyong Cao & Guofu Tan & Guoqiang Tian & Okan Yilankaya, 2018. "Equilibria in second-price auctions with private participation costs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(2), pages 231-249, March.
    6. Diego Aycinena & Hernán Bejarano & Lucas Rentschler, 2018. "Informed entry in auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 175-205, March.
    7. Xiaogang Che & Tilman Klumpp, 2023. "Auctions versus sequential mechanisms when resale is allowed," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(4), pages 1207-1245, May.
    8. Xiaoyong Cao & Guoqiang Tian, 2013. "Second‐Price Auctions with Different Participation Costs," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 22(1), pages 184-205, March.
    9. Constantinos Daskalakis & Maxwell Fishelson & Brendan Lucier & Vasilis Syrgkanis & Santhoshini Velusamy, 2020. "Multi-item Non-truthful Auctions Achieve Good Revenue," Papers 2002.06702, arXiv.org, revised Sep 2022.
    10. Jinhyuk Lee & Jaeok Park, 2016. "Second-price auctions with sequential and costly participation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(3), pages 567-586, August.
    11. Xin Feng, 2023. "Information disclosure in all-pay contests with costly entry," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(2), pages 401-421, June.
    12. Li, Daniel Z., 2017. "Ranking equilibrium competition in auctions with participation costs," Economics Letters, Elsevier, vol. 153(C), pages 47-50.
    13. Vidyanand Choudhary & Shivendu Shivendu, 2017. "Targeted Couponing in Online Auctions," Information Systems Research, INFORMS, vol. 28(3), pages 490-510, September.
    14. Holzer, Jorge & DePiper, Geret & Lipton, Douglas, 2017. "Buybacks with costly participation," Journal of Environmental Economics and Management, Elsevier, vol. 85(C), pages 130-145.
    15. Liu, Bin & Lu, Jingfeng, 2019. "The optimal allocation of prizes in contests with costly entry," International Journal of Industrial Organization, Elsevier, vol. 66(C), pages 137-161.
    16. Xu, Xiaoshu & Levin, Dan & Ye, Lixin, 2013. "Auctions with entry and resale," Games and Economic Behavior, Elsevier, vol. 79(C), pages 92-105.
    17. Yumiko Baba, 2013. "A Note On Dutch Auctions With Time Credits," Working Papers e053, Tokyo Center for Economic Research.
    18. Diego Aycinena & Lucas Rentschler, 2018. "Auctions with endogenous participation and an uncertain number of bidders: experimental evidence," Experimental Economics, Springer;Economic Science Association, vol. 21(4), pages 924-949, December.

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