IDEAS home Printed from https://ideas.repec.org/a/eee/soceco/v119y2025ics2214804325001478.html

Refusing to lose: Reciprocity in complete information first-price sealed-bid auctions

Author

Listed:
  • Mannahan, Rachel

Abstract

I characterize the pure strategy equilibria in complete information, first-price sealed-bid auctions when bidders have reciprocity preferences. While the equilibria under selfish preferences persist, two additional types of equilibria arise under reciprocity. There is an equilibrium with negative reciprocity in which a bidder with a low value may refuse to lose by overbidding to win the auction. There is also an equilibrium with positive reciprocity in which several bidders collude by submitting a tying bid at a low price.

Suggested Citation

  • Mannahan, Rachel, 2025. "Refusing to lose: Reciprocity in complete information first-price sealed-bid auctions," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 119(C).
  • Handle: RePEc:eee:soceco:v:119:y:2025:i:c:s2214804325001478
    DOI: 10.1016/j.socec.2025.102483
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S2214804325001478
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.socec.2025.102483?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Sohn, Jin-yeong & Wu, Wenhao, 2022. "Reciprocity with uncertainty about others," Games and Economic Behavior, Elsevier, vol. 136(C), pages 299-324.
    2. Vasserman, Shoshana & Watt, Mitchell, 2021. "Risk aversion and auction design: Theoretical and empirical evidence," International Journal of Industrial Organization, Elsevier, vol. 79(C).
    3. Jin Li & Charles R. Plott, 2009. "Tacit Collusion In Auctions And Conditions For Its Facilitation And Prevention: Equilibrium Selection In Laboratory Experimental Markets," Economic Inquiry, Western Economic Association International, vol. 47(3), pages 425-448, July.
    4. Sethi, Rajiv & Somanathan, E., 2001. "Preference Evolution and Reciprocity," Journal of Economic Theory, Elsevier, vol. 97(2), pages 273-297, April.
    5. Dufwenberg, Martin & Kirchsteiger, Georg, 2004. "A theory of sequential reciprocity," Games and Economic Behavior, Elsevier, vol. 47(2), pages 268-298, May.
    6. Morgan John & Steiglitz Ken & Reis George, 2003. "The Spite Motive and Equilibrium Behavior in Auctions," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 2(1), pages 1-25, April.
    7. Richard Engelbrecht-Wiggans & Elena Katok, 2007. "Regret in auctions: theory and evidence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(1), pages 81-101, October.
    8. Moldovanu, Benny & Sela, Aner, 2003. "Patent licensing to Bertrand competitors," International Journal of Industrial Organization, Elsevier, vol. 21(1), pages 1-13, January.
    9. Naoko Nishimura & Timothy N. Cason & Tatsuyoshi Saijo & Yoshikazu Ikeda, 2011. "Spite and Reciprocity in Auctions," Games, MDPI, vol. 2(3), pages 1-47, September.
    10. Geanakoplos, John & Pearce, David & Stacchetti, Ennio, 1989. "Psychological games and sequential rationality," Games and Economic Behavior, Elsevier, vol. 1(1), pages 60-79, March.
    11. Simon Gächter & Armin Falk, 2002. "Reputation and Reciprocity: Consequences for the Labour Relation," Scandinavian Journal of Economics, Wiley Blackwell, vol. 104(1), pages 1-26, March.
    12. Min Ding & Jehoshua Eliashberg & Joel Huber & Ritesh Saini, 2005. "Emotional Bidders---An Analytical and Experimental Examination of Consumers' Behavior in a Priceline-Like Reverse Auction," Management Science, INFORMS, vol. 51(3), pages 352-364, March.
    13. Battigalli, Pierpaolo & Corrao, Roberto & Dufwenberg, Martin, 2019. "Incorporating belief-dependent motivation in games," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 185-218.
    14. Battigalli, Pierpaolo & Dufwenberg, Martin, 2009. "Dynamic psychological games," Journal of Economic Theory, Elsevier, vol. 144(1), pages 1-35, January.
    15. Dufwenberg, Martin & Johansson-Stenman, Olof & Kirchler, Michael & Lindner, Florian & Schwaiger, Rene, 2022. "Mean markets or kind commerce?," Journal of Public Economics, Elsevier, vol. 209(C).
      • Martin Dufwenberg & Olof Johansson Stenman & Michael Kirchler & Florian Lindner & Rene Schwaiger, 2021. "Mean Markets or Kind Commerce?," Working Papers 2021-07, Faculty of Economics and Statistics, Universität Innsbruck.
    16. José Alcalde & Matthias Dahm, 2011. "On The Complete Information First-Price Auction And Its Intuitive Solution," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 353-361.
    17. Rossella Ferrario & Elena Manzoni, 2022. "Emotions matter for policy-making: An example on tacit collusion and guilt," Journal of Behavioral Economics for Policy, Society for the Advancement of Behavioral Economics (SABE), vol. 6(S1), pages 67-72, July.
    18. Emel Filiz-Ozbay & Erkut Y. Ozbay, 2007. "Auctions with Anticipated Regret: Theory and Experiment," American Economic Review, American Economic Association, vol. 97(4), pages 1407-1418, September.
    Full references (including those not matched with items on IDEAS)

    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. Bierbrauer, Felix & Netzer, Nick, 2016. "Mechanism design and intentions," Journal of Economic Theory, Elsevier, vol. 163(C), pages 557-603.
    2. Christian Korth, 2009. "Reciprocity—An Indirect Evolutionary Analysis," Lecture Notes in Economics and Mathematical Systems, in: Fairness in Bargaining and Markets, chapter 0, pages 35-55, Springer.
    3. Battigalli, Pierpaolo & Dufwenberg, Martin & Smith, Alec, 2019. "Frustration, aggression, and anger in leader-follower games," Games and Economic Behavior, Elsevier, vol. 117(C), pages 15-39.
    4. Bartling, Björn & Netzer, Nick, 2016. "An externality-robust auction: Theory and experimental evidence," Games and Economic Behavior, Elsevier, vol. 97(C), pages 186-204.
    5. Johannes Becker & Daniel Hopp & Karolin Süß, 2020. "How Altruistic Is Indirect Reciprocity? - Evidence from Gift-Exchange Games in the Lab," CESifo Working Paper Series 8423, CESifo.
    6. Rossella Ferrario & Elena Manzoni, 2022. "Emotions matter for policy-making: An example on tacit collusion and guilt," Journal of Behavioral Economics for Policy, Society for the Advancement of Behavioral Economics (SABE), vol. 6(S1), pages 67-72, July.
    7. Kozlovskaya, Maria & Nicoló, Antonio, 2019. "Public good provision mechanisms and reciprocity," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 235-244.
    8. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    9. Dhami, Sanjit & Wei, Mengxing & al-Nowaihi, Ali, 2019. "Public goods games and psychological utility: Theory and evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 361-390.
    10. Philippe Grégoire, 2018. "Psychology at work," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 65(2), pages 119-135, June.
    11. Giuseppe Attanasi & Pierpaolo Battigalli & Elena Manzoni & Rosemarie Nagel, 2026. "Disclosure of belief–dependent preferences in a trust game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 81(1), pages 303-340, February.
    12. Livio, Luca & De Chiara, Alessandro, 2019. "Friends or foes? Optimal incentives for reciprocal agents," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 245-278.
    13. Chassang, Sylvain & Zehnder, Christian, 2016. "Rewards and punishments: informal contracting through social preferences," Theoretical Economics, Econometric Society, vol. 11(3), September.
    14. Klaus M. Schmidt, 2011. "Social Preferences and Competition," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(s1), pages 207-231, August.
    15. Dhami, Sanjit & Wei, Mengxing & al-Nowaihi, Ali, 2023. "Classical and belief-based gift exchange models: Theory and evidence," Games and Economic Behavior, Elsevier, vol. 138(C), pages 171-196.
    16. Dufwenberg, Martin & Patel, Amrish, 2019. "Introduction to special issue on psychological game theory," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 181-184.
    17. Maxime Perodaud & Michela Chessa, 2026. "Hey, what did you expect ? Confirmation bias in credence goods markets: Theoretical and experimental analyses," Post-Print hal-05441370, HAL.
    18. Dietrich, Franz, 2012. "Modelling change in individual characteristics: An axiomatic framework," Games and Economic Behavior, Elsevier, vol. 76(2), pages 471-494.
    19. Jiabin Wu, 2018. "Indirect higher order beliefs and cooperation," Experimental Economics, Springer;Economic Science Association, vol. 21(4), pages 858-876, December.
    20. Dufwenberg, Martin & Patel, Amrish, 2017. "Reciprocity networks and the participation problem," Games and Economic Behavior, Elsevier, vol. 101(C), pages 260-272.

    More about this item

    Keywords

    ;
    ;
    ;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

    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:eee:soceco:v:119:y:2025:i:c:s2214804325001478. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/620175 .

    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.