IDEAS home Printed from https://ideas.repec.org/a/sae/ratsoc/v12y2000i1p67-86.html
   My bibliography  Save this article

Rationality And Stability In The Theory Of Moves

Author

Listed:
  • Edwin Woerdman

Abstract

According to Brams' Theory of Moves (TOM), mutual cooperation will emerge in the Prisoner's Dilemma Game (PDG) from all initial states (except initial state (2,2)). Contrary to this result, only applying the rules of TOM to the PDG (including the precedence norm) yields mutual defection from all initial states (except initial state (3,3)). It appears that TOM achieves the cooperative outcomes by introducing a concept of voluntary cooperation (magnanimity) and an interpretation of self-interest (the Two-Sidedness Convention), which are both based on collective rationality. Specifically, these elements of TOM ignore the conflict between individual and collective rationality, which characterizes the dilemma of the PDG. In addition, the PDG in TOM is not internally stable in the case of uncertainty with regard to the starting point of the game.

Suggested Citation

  • Edwin Woerdman, 2000. "Rationality And Stability In The Theory Of Moves," Rationality and Society, , vol. 12(1), pages 67-86, February.
    • Handle: RePEc:sae:ratsoc:v:12:y:2000:i:1:p:67-86
    DOI: 10.1177/104346300012001004
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/104346300012001004
    Download Restriction: no
    File URL: https://libkey.io/10.1177/104346300012001004?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
    ---><---

    References listed on IDEAS

    as
    1. Steven J. Brams, 1997. "Game Theory And Emotions," Rationality and Society, , vol. 9(1), pages 91-124, February.
    2. Steven Brams & D. Kilgour, 1998. "Backward Induction Is Not Robust: The Parity Problem and the Uncertainty Problem," Theory and Decision, Springer, vol. 45(3), pages 263-289, December.
    3. Daniel G. Arce M., 1996. "Social Norms, Inflation And Stabilization," Rationality and Society, , vol. 8(3), pages 277-294, August.
    4. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    5. Stephen Willson, 1998. "Long-Term Behavior in the Theory of Moves," Theory and Decision, Springer, vol. 45(3), pages 201-240, December.
    6. Daniel G. Arce M., 1994. "Stability Criteria for Social Norms with Applications to the Prisoner's Dilemma," Journal of Conflict Resolution, Peace Science Society (International), vol. 38(4), pages 749-765, December.
    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. Robert Hoffmann, 2001. "Mixed Strategies In The Mugging Game," Rationality and Society, , vol. 13(2), pages 205-212, May.
    2. Assaf Meydani & Shlomo Mizrahi, 2010. "The Relationship Between the Supreme Court and Parliament in Light of the Theory of Moves: the Case of Israel," Rationality and Society, , vol. 22(1), pages 55-82, February.

    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. Brams Steven J., 2000. "Game Theory: Pitfalls and Opportunities in Applying It to International Relations," Peace Economics, Peace Science, and Public Policy, De Gruyter, vol. 6(2), pages 1-11, April.
    2. Maarten C.W. Janssen, 1997. "Focal Points," Tinbergen Institute Discussion Papers 97-091/1, Tinbergen Institute.
    3. Michael Kosfeld, 2002. "Stochastic strategy adjustment in coordination games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(2), pages 321-339.
    4. Burkhard C. Schipper, 2004. "Submodularity and the evolution of Walrasian behavior," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(4), pages 471-477, August.
    5. Ianni, A., 2002. "Reinforcement learning and the power law of practice: some analytical results," Discussion Paper Series In Economics And Econometrics 203, Economics Division, School of Social Sciences, University of Southampton.
    6. Jun Honda, 2015. "Games with the Total Bandwagon Property," Department of Economics Working Papers wuwp197, Vienna University of Economics and Business, Department of Economics.
    7. Arnout van de Rijt, 2017. "Microfoundations of institutional change," Rationality and Society, , vol. 29(1), pages 63-68, February.
    8. Bergstrom, Theodore C & Stark, Oded, 1993. "How Altruism Can Prevail in an Evolutionary Environment," American Economic Review, American Economic Association, vol. 83(2), pages 149-155, May.
    9. , & , & ,, 2008. "Monotone methods for equilibrium selection under perfect foresight dynamics," Theoretical Economics, Econometric Society, vol. 3(2), June.
    10. Basov, S., 2001. "An Evolutionary Model of Reciprocity," Department of Economics - Working Papers Series 812, The University of Melbourne.
    11. Ball, Richard, 2017. "Violations of monotonicity in evolutionary models with sample-based beliefs," Economics Letters, Elsevier, vol. 152(C), pages 100-104.
    12. Jean-Marie Dufour, 2000. "Économétrie, théorie des tests et philosophie des sciences," CIRANO Working Papers 2000s-47, CIRANO.
    13. Joshua M. Epstein, 2007. "Agent-Based Computational Models and Generative Social Science," Introductory Chapters, in: Generative Social Science Studies in Agent-Based Computational Modeling, Princeton University Press.
    14. Daniele Cassese & Paolo Pin, 2018. "Decentralized Pure Exchange Processes on Networks," Papers 1803.08836, arXiv.org, revised Mar 2022.
    15. Noldeka, G. & Samuelson, L., 1994. "Learning to Signal in Market," Working papers 9409, Wisconsin Madison - Social Systems.
    16. van Damme, E.E.C., 1995. "Game theory : The next stage," Other publications TiSEM 7779b0f9-bef5-45c7-ae6b-7, Tilburg University, School of Economics and Management.
    17. Norman, Thomas W.L., 2009. "Rapid evolution under inertia," Games and Economic Behavior, Elsevier, vol. 66(2), pages 865-879, July.
    18. Roland Pongou & Roberto Serrano, 2009. "A dynamic theory of fidelity networks with an application to the spread of HIV/AIDS," Working Papers 2009-03, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
    19. Arnaud Z. Dragicevic, 2019. "Market Coordination Under Non-Equilibrium Dynamics," Networks and Spatial Economics, Springer, vol. 19(3), pages 697-715, September.
    20. Péter Bayer & Ani Guerdjikova, 2020. "Optimism leads to optimality: Ambiguity in network formation," Working Papers hal-03005107, HAL.

    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:sae:ratsoc:v:12:y:2000:i:1:p:67-86. 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: SAGE Publications (email available below). General contact details of provider: .

    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.