IDEAS home Printed from https://ideas.repec.org/a/spr/grdene/v29y2020i3d10.1007_s10726-020-09665-3.html
   My bibliography  Save this article

Alternative Generalized Metarationalities for Multiple Decision-Maker Conflicts

Author

Listed:
  • Leandro Chaves Rêgo

    (Universidade Federal do Ceará
    Universidade Federal de Pernambuco)

  • Giannini Italino Alves Vieira

    (Universidade Federal do Ceará)

Abstract

In this paper, we present an alternative definition for the generalized metarational stability concept to conflicts with n-decision makers (DMs) in the context of the graph model for conflict resolution. Our motivation to present this proposal lies on the fact that unlike the original definition of generalized metarationality for n-DMs, our definition coincides with the definition of generalized metarationality for conflicts involving only two DMs. Moreover, our definition also includes the symmetric metarational stability as a particular case. We also establish some properties satisfied by the proposed alternative definition.

Suggested Citation

  • Leandro Chaves Rêgo & Giannini Italino Alves Vieira, 2020. "Alternative Generalized Metarationalities for Multiple Decision-Maker Conflicts," Group Decision and Negotiation, Springer, vol. 29(3), pages 461-490, June.
    • Handle: RePEc:spr:grdene:v:29:y:2020:i:3:d:10.1007_s10726-020-09665-3
    DOI: 10.1007/s10726-020-09665-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10726-020-09665-3
    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/s10726-020-09665-3?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. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, April.
    2. D. Marc Kilgour & Keith W. Hipel, 2005. "The Graph Model for Conflict Resolution: Past, Present, and Future," Group Decision and Negotiation, Springer, vol. 14(6), pages 441-460, November.
    3. Dao-Zhi Zeng & Liping Fang & Keith Hipel & D. Kilgour, 2004. "Policy Stable States in the Graph Model for Conflict Resolution," Theory and Decision, Springer, vol. 57(4), pages 345-365, December.
    4. Haiyan Xu & D. Marc Kilgour & Keith W. Hipel, 2011. "Matrix Representation of Conflict Resolution in Multiple-Decision-Maker Graph Models with Preference Uncertainty," Group Decision and Negotiation, Springer, vol. 20(6), pages 755-779, November.
    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. Keith W. Hipel & Liping Fang & D. Marc Kilgour, 2020. "The Graph Model for Conflict Resolution: Reflections on Three Decades of Development," Group Decision and Negotiation, Springer, vol. 29(1), pages 11-60, February.
    2. Giannini Italino Alves Vieira & Leandro Chaves Rêgo, 2020. "Berge Solution Concepts in the Graph Model for Conflict Resolution," Group Decision and Negotiation, Springer, vol. 29(1), pages 103-125, February.
    3. Alexandre Bevilacqua Leoneti & René Bañares-Alcántara & Eduardo Cleto Pires & Sonia Valle Walter Borges Oliveira, 2022. "A Multi-Criteria and Multi-Agent Framework for supporting complex decision-making processes," Group Decision and Negotiation, Springer, vol. 31(5), pages 1025-1050, October.
    4. Battigalli, Pierpaolo & Bonanno, Giacomo, 1997. "The Logic of Belief Persistence," Economics and Philosophy, Cambridge University Press, vol. 13(1), pages 39-59, April.
    5. Szabó, György & Borsos, István & Szombati, Edit, 2019. "Games, graphs and Kirchhoff laws," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 416-423.
    6. Shi, Yi & Deng, Yawen & Wang, Guoan & Xu, Jiuping, 2020. "Stackelberg equilibrium-based eco-economic approach for sustainable development of kitchen waste disposal with subsidy policy: A case study from China," Energy, Elsevier, vol. 196(C).
    7. Marc Le Menestrel, 2003. "A one-shot Prisoners’ Dilemma with procedural utility," Economics Working Papers 819, Department of Economics and Business, Universitat Pompeu Fabra.
    8. Cheng‐Kuang Wu & Yi‐Ming Chen & Dachrahn Wu & Ching‐Lin Chi, 2020. "A Game Theory Approach for Assessment of Risk and Deployment of Police Patrols in Response to Criminal Activity in San Francisco," Risk Analysis, John Wiley & Sons, vol. 40(3), pages 534-549, March.
    9. Leandro Chaves Rêgo & Giannini Italino Alves Vieira, 2019. "Probabilistic Option Prioritizing in the Graph Model for Conflict Resolution," Group Decision and Negotiation, Springer, vol. 28(6), pages 1149-1165, December.
    10. Nasimeh Heydaribeni & Achilleas Anastasopoulos, 2019. "Linear Equilibria for Dynamic LQG Games with Asymmetric Information and Dependent Types," Papers 1909.04834, arXiv.org.
    11. Müller, Christoph, 2020. "Robust implementation in weakly perfect Bayesian strategies," Journal of Economic Theory, Elsevier, vol. 189(C).
    12. Hitoshi Matsushima, 2019. "Implementation without expected utility: ex-post verifiability," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(4), pages 575-585, December.
    13. Dasgupta Utteeyo, 2011. "Are Entry Threats Always Credible?," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 11(1), pages 1-41, December.
    14. Baran Han, 2018. "The role and welfare rationale of secondary sanctions: A theory and a case study of the US sanctions targeting Iran," Conflict Management and Peace Science, Peace Science Society (International), vol. 35(5), pages 474-502, September.
    15. Carlos Pimienta & Jianfei Shen, 2014. "On the equivalence between (quasi-)perfect and sequential equilibria," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(2), pages 395-402, May.
    16. Asheim, Geir & Søvik, Ylva, 2003. "The semantics of preference-based belief operators," Memorandum 05/2003, Oslo University, Department of Economics.
    17. Salvador Barberà & Anke Gerber, 2024. "On the Endogenous Order of Play in Sequential Games," Working Papers 1443, Barcelona School of Economics.
    18. Wang, Yafeng & Graham, Brett, 2009. "Generalized Maximum Entropy estimation of discrete sequential move games of perfect information," MPRA Paper 21331, University Library of Munich, Germany.
    19. repec:dau:papers:123456789/6818 is not listed on IDEAS
    20. Tobias Harks & Martin Hoefer & Anja Schedel & Manuel Surek, 2021. "Efficient Black-Box Reductions for Separable Cost Sharing," Mathematics of Operations Research, INFORMS, vol. 46(1), pages 134-158, February.
    21. Karbowski, Adam, 2011. "O kilku modelach samolubnego karania w ekonomii behawioralnej [Evolution of altruism in the light of behavioral economics]," MPRA Paper 69604, University Library of Munich, Germany.

    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:grdene:v:29:y:2020:i:3:d:10.1007_s10726-020-09665-3. 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.