IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v137y2008i2d10.1007_s10957-008-9353-y.html
   My bibliography  Save this article

Slightly Altruistic Equilibria

Author

Listed:
  • G. De Marco

    (Università degli Studi di Napoli Parthenope)

  • J. Morgan

    (Università di Napoli Federico II)

Abstract

We introduce a refinement concept for Nash equilibria (slightly altruistic equilibrium) defined by a limit process and which captures the idea of reciprocal altruism as presented in Binmore (Proceedings of the XV Italian Meeting on Game Theory and Applications, [2003]). Existence is guaranteed for every finite game and for a large class of games with a continuum of strategies. Results and examples emphasize the (lack of) connections with classical refinement concepts. Finally, it is shown that, under a pseudomonotonicity assumption on a particular operator associated to the game, it is possible, by selecting slightly altruistic equilibria, to eliminate those equilibria in which a player can switch to a strategy that is better for the others without leaving the set of equilibria.

Suggested Citation

  • G. De Marco & J. Morgan, 2008. "Slightly Altruistic Equilibria," Journal of Optimization Theory and Applications, Springer, vol. 137(2), pages 347-362, May.
    • Handle: RePEc:spr:joptap:v:137:y:2008:i:2:d:10.1007_s10957-008-9353-y
    DOI: 10.1007/s10957-008-9353-y
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-008-9353-y
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-008-9353-y?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Falk, Armin & Fischbacher, Urs, 2006. "A theory of reciprocity," Games and Economic Behavior, Elsevier, vol. 54(2), pages 293-315, February.
    2. Dufwenberg, Martin & Kirchsteiger, Georg, 2004. "A theory of sequential reciprocity," Games and Economic Behavior, Elsevier, vol. 47(2), pages 268-298, May.
    3. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    4. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    5. Agnieszka Rusinowska, 2002. "Refinements Of Nash Equilibria In View Of Jealous Or Friendly Behavior Of Players," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 4(03), pages 281-299.
    6. Giuseppe De Marco & Jacqueline Morgan, 2008. "Friendliness And Reciprocity In Equilibrium Selection," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(01), pages 53-72.
    7. Sethi, Rajiv & Somanathan, E., 2001. "Preference Evolution and Reciprocity," Journal of Economic Theory, Elsevier, vol. 97(2), pages 273-297, April.
    8. Geanakoplos, John & Pearce, David & Stacchetti, Ennio, 1989. "Psychological games and sequential rationality," Games and Economic Behavior, Elsevier, vol. 1(1), pages 60-79, March.
    9. David K. Levine, 1998. "Modeling Altruism and Spitefulness in Experiment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(3), pages 593-622, July.
    10. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
    11. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
    12. Ritzberger, Klaus, 1994. "The Theory of Normal Form Games form the Differentiable Viewpoint," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(3), pages 207-236.
    13. John Hillas & Mathijs Jansen & Jos Potters & Dries Vermeulen, 2001. "On the Relation Among Some Definitions of Strategic Stability," Mathematics of Operations Research, INFORMS, vol. 26(3), pages 611-635, August.
    14. M. B. Lignola & J. Morgan, 1999. "Generalized Variational Inequalities with Pseudomonotone Operators Under Perturbations," Journal of Optimization Theory and Applications, Springer, vol. 101(1), pages 213-220, April.
    15. Ichiishi, Tatsuro, 1981. "A Social Coalitional Equilibrium Existence Lemma," Econometrica, Econometric Society, vol. 49(2), pages 369-377, March.
    16. Aumann, Robert J., 1997. "Rationality and Bounded Rationality," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 2-14, October.
    17. Hillas, John & Jansen, Mathijis & Potters, Jos, 2001. "On The Relation Among Some Definitions Of Strategic Stability," Working Papers 137, Department of Economics, The University of Auckland.
    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. Francesco Caruso & Maria Carmela Ceparano & Jacqueline Morgan, 2019. "Subgame Perfect Nash Equilibrium: A Learning Approach via Costs to Move," Dynamic Games and Applications, Springer, vol. 9(2), pages 416-432, June.
    2. Zheng Peng & Wenxing Zhu, 2013. "An Alternating Direction Method for Nash Equilibrium of Two-Person Games with Alternating Offers," Journal of Optimization Theory and Applications, Springer, vol. 157(2), pages 533-551, May.
    3. Giuseppe De Marco & Jacqueline Morgan, 2007. "Social Networks: Equilibrium Selection and Friendliness," CSEF Working Papers 198, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    4. Tóbiás, Áron, 2023. "Rational Altruism," Journal of Economic Behavior & Organization, Elsevier, vol. 207(C), pages 50-80.
    5. Ohnishi, Kazuhiro, 2018. "Non-Altruistic Equilibria," MPRA Paper 88347, University Library of Munich, Germany.

    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. Giuseppe De Marco & Jacqueline Morgan, 2007. "Slightly Altruistic Equilibria in Normal Form Games," CSEF Working Papers 185, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    2. 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.
    3. Sethi, Rajiv & Somanathan, E., 2003. "Understanding reciprocity," Journal of Economic Behavior & Organization, Elsevier, vol. 50(1), pages 1-27, January.
    4. Fehr, Ernst & Schmidt, Klaus M., 2005. "The Economics of Fairness, Reciprocity and Altruism – Experimental Evidence and New Theories," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 66, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    5. von Siemens, Ferdinand A., 2013. "Intention-based reciprocity and the hidden costs of control," Journal of Economic Behavior & Organization, Elsevier, vol. 92(C), pages 55-65.
    6. 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.
    7. Cox, James C. & Friedman, Daniel & Gjerstad, Steven, 2007. "A tractable model of reciprocity and fairness," Games and Economic Behavior, Elsevier, vol. 59(1), pages 17-45, April.
    8. Ernst Fehr & Simon Gächter, 2000. "Fairness and Retaliation: The Economics of Reciprocity," Journal of Economic Perspectives, American Economic Association, vol. 14(3), pages 159-181, Summer.
    9. Bogliacino, Francesco & Rodríguez González, Nicolás, 2020. "Two-worker competition in gift-exchange: assessing intention-based reciprocity and inequity aversion," MPRA Paper 99055, University Library of Munich, Germany.
    10. Nyborg, Karine, 2018. "Reciprocal climate negotiators," Journal of Environmental Economics and Management, Elsevier, vol. 92(C), pages 707-725.
    11. Kim, Jeongbin & Putterman, Louis & Zhang, Xinyi, 2022. "Trust, Beliefs and Cooperation: Excavating a Foundation of Strong Economies," European Economic Review, Elsevier, vol. 147(C).
    12. Reuben, Ernesto & van Winden, Frans, 2008. "Social ties and coordination on negative reciprocity: The role of affect," Journal of Public Economics, Elsevier, vol. 92(1-2), pages 34-53, February.
    13. Xiao, Erte & Bicchieri, Cristina, 2010. "When equality trumps reciprocity," Journal of Economic Psychology, Elsevier, vol. 31(3), pages 456-470, June.
    14. López-Pérez, Raúl, 2009. "The Power of Words: Why Communication fosters Cooperation and Efficiency," Working Papers in Economic Theory 2009/01, Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History).
    15. Klaus M. Schmidt, 2011. "Social Preferences and Competition," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 207-231, August.
    16. Kovarik, Jaromir, 2009. "Social Preferences - Literature Survey," IKERLANAK 2009-36, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    17. Dhaene, Geert & Bouckaert, Jan, 2010. "Sequential reciprocity in two-player, two-stage games: An experimental analysis," Games and Economic Behavior, Elsevier, vol. 70(2), pages 289-303, November.
    18. Kurt A. Ackermann & Ryan O. Murphy, 2019. "Explaining Cooperative Behavior in Public Goods Games: How Preferences and Beliefs Affect Contribution Levels," Games, MDPI, vol. 10(1), pages 1-34, March.
    19. López-Pérez, Raúl, 2009. "Followers and leaders: Reciprocity, social norms and group behavior," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 38(4), pages 557-567, August.
    20. Kranz, Sebastian, 2010. "Moral norms in a partly compliant society," Games and Economic Behavior, Elsevier, vol. 68(1), pages 255-274, January.

    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:spr:joptap:v:137:y:2008:i:2:d:10.1007_s10957-008-9353-y. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.