IDEAS home Printed from https://ideas.repec.org/a/abw/journl/y2018id800.html
   My bibliography  Save this article

Mathematical Formalization Of Institutions

Author

Listed:
  • A. Yu. Obydenov

Abstract

The article proposes the way of mathematical formalization of institutions in the framework of game-theory approach. The rules are represented by transpositions of payoffs in payment matrix. Such the transitions call the change the structure of game equilibriums. This approach allows separation of coordination and distribution aspects of institutions, division institutions into classes and distinguishing aggregateÑ of institutions, which produce identical transformation. Through evolutionary game theory formalism it is shown that such parametric management influences the structure of steady states, what allows investigation of institutions’ influence on self-organization, in particular, through transformation of topology of phase portrait of the system. In accordance with the fact that dynamic with multiple steady states is typical for coordination problem as a whole, an approach suggested of the rules formalization appears to have rather broad application.

Suggested Citation

  • A. Yu. Obydenov, 2018. "Mathematical Formalization Of Institutions," Strategic decisions and risk management, Real Economy Publishing House, issue 4.
    • Handle: RePEc:abw:journl:y:2018:id:800
    DOI: 10.17747/2078-8886-2018-4-54-57
    as

    Download full text from publisher

    File URL: https://www.jsdrm.ru/jour/article/viewFile/800/706
    Download Restriction: no
    File URL: https://www.jsdrm.ru/jour/article/viewFile/800/718
    Download Restriction: no
    File URL: https://libkey.io/10.17747/2078-8886-2018-4-54-57?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. A. Obydenov., 2016. "Foundations of the parametric strategic management: An institutional economics perspective," VOPROSY ECONOMIKI, N.P. Redaktsiya zhurnala "Voprosy Economiki", vol. 8.
    2. Russell Golman & Scott Page, 2010. "Basins of attraction and equilibrium selection under different learning rules," Journal of Evolutionary Economics, Springer, vol. 20(1), pages 73-75, January.
    3. Polterovich, Victor, 2007. "Institutional Trap," MPRA Paper 20595, University Library of Munich, Germany.
    4. Russell Golman & Scott Page, 2010. "Basins of attraction and equilibrium selection under different learning rules," Journal of Evolutionary Economics, Springer, vol. 20(1), pages 49-72, January.
    5. Ross Cressman, 2003. "Evolutionary Dynamics and Extensive Form Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262033054, April.
    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. Sawa, Ryoji & Zusai, Dai, 2014. "Evolutionary imitative dynamics with population-varying aspiration levels," Journal of Economic Theory, Elsevier, vol. 154(C), pages 562-577.
    2. Dai Zusai, 2018. "Tempered best response dynamics," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 1-34, March.
    3. Golman, Russell & Page, Scott E., 2010. "Individual and cultural learning in stag hunt games with multiple actions," Journal of Economic Behavior & Organization, Elsevier, vol. 73(3), pages 359-376, March.
    4. Beauchêne, D., 2019. "Is ambiguity aversion bad for innovation?," Journal of Economic Theory, Elsevier, vol. 183(C), pages 1154-1176.
    5. Boyu Zhang & Josef Hofbauer, 2015. "Equilibrium selection via replicator dynamics in $$2 \times 2$$ 2 × 2 coordination games," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(2), pages 433-448, May.
    6. Bednar, Jenna & Jones-Rooy, Andrea & Page, Scott E., 2015. "Choosing a future based on the past: Institutions, behavior, and path dependence," European Journal of Political Economy, Elsevier, vol. 40(PB), pages 312-332.
    7. Sawa, Ryoji & Zusai, Dai, 2019. "Evolutionary dynamics in multitasking environments," Journal of Economic Behavior & Organization, Elsevier, vol. 166(C), pages 288-308.
    8. Edoardo Gaffeo & Mauro Gallegati & Umberto Gostoli, 2015. "An agent-based “proof of principle” for Walrasian macroeconomic theory," Computational and Mathematical Organization Theory, Springer, vol. 21(2), pages 150-183, June.
    9. Page, Scott E. & Tassier, Troy, 2010. "A characterization of equilibria in the Groves-Ledyard mechanism," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1229-1242, November.
    10. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
    11. Sofia B. S. D. Castro, 2018. "Learning by replicator and best-response: the importance of being indifferent," Journal of Evolutionary Economics, Springer, vol. 28(4), pages 985-999, September.
    12. Chowdhury, Noble & Kentiba, Kirubel & Mirajkar, Yashwant & Nasseri, Mana & Rychtář, Jan & Taylor, Dewey, 2020. "Kleptoparasitic interactions modeling varying owner and intruder hunger awareness," Theoretical Population Biology, Elsevier, vol. 136(C), pages 31-40.
    13. Veller, Carl & Hayward, Laura K., 2016. "Finite-population evolution with rare mutations in asymmetric games," Journal of Economic Theory, Elsevier, vol. 162(C), pages 93-113.
    14. Amann, Erwin & Possajennikov, Alex, 2009. "On the stability of evolutionary dynamics in games with incomplete information," Mathematical Social Sciences, Elsevier, vol. 58(3), pages 310-321, November.
    15. Ilaria Colivicchi & Gianluca Iannucci, 2023. "The Environmental Responsibility of Firms and Insurance Coverage in an Evolutionary Game," Dynamic Games and Applications, Springer, vol. 13(3), pages 801-818, September.
    16. Volodymyr Semtsov, 2018. "Dissemination of Institutional Changes: Internal Planning, Import and Spontaneous Formation," Oblik i finansi, Institute of Accounting and Finance, issue 2, pages 130-140, June.
    17. Koliesnichenko Anastasiia S., 2014. "Institutional Grounds of State Regulation of Interrelation of Subjects of the Electric Energy Market," Business Inform, RESEARCH CENTRE FOR INDUSTRIAL DEVELOPMENT PROBLEMS of NAS (KHARKIV, UKRAINE), Kharkiv National University of Economics, issue 3, pages 61-70.
    18. Chaitanya Gokhale & Arne Traulsen, 2014. "Evolutionary Multiplayer Games," Dynamic Games and Applications, Springer, vol. 4(4), pages 468-488, December.
    19. Ozgur Aydogmus & Erkan Gürpinar, 2022. "Science, Technology and Institutional Change in Knowledge Production: An Evolutionary Game Theoretic Framework," Dynamic Games and Applications, Springer, vol. 12(4), pages 1163-1188, December.
    20. Dharini Hingu & K. S. Mallikarjuna Rao & A. J. Shaiju, 2020. "On superiority and weak stability of population states in evolutionary games," Annals of Operations Research, Springer, vol. 287(2), pages 751-760, April.

    More about this item

    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:abw:journl:y:2018:id:800. 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: ООО Ð˜Ð·Ð´Ð°Ñ‚ÐµÐ»ÑŒÑ ÐºÐ¸Ð¹ дом Â«Ð ÐµÐ°Ð»ÑŒÐ½Ð°Ñ Ñ ÐºÐ¾Ð½Ð¾Ð¼Ð¸ÐºÐ°Â» (email available below). General contact details of provider: https://www.jsdrm.ru/jour/about/journalSponsorship .

    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.