IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i10p1116-d554757.html
   My bibliography  Save this article

A Mathematical Approach to Law and Deal Modelling: Legislation and Agreements

Author

Listed:
  • Juan M. Benito-Ostolaza

    (Institute for Advanced Research in Business and Economics (INARBE) and Departamento de Economía, Universidad Pública de Navarra (UPNA), 31006 Pamplona, Spain)

  • María J. Campión

    (Institute for Advanced Research in Business and Economics (INARBE) and Departamento de Estadística, Informática y Matemáticas, Universidad Pública de Navarra (UPNA), 31006 Pamplona, Spain)

  • Asier Estevan

    (Institute for Advanced Materials and Mathematics (INAMAT) and Departamento de Estadística, Informática y Matemáticas, Universidad Pública de Navarra (UPNA), 31006 Pamplona, Spain)

Abstract

Social norms are a set of rules to be followed by the people of a community in order to have a better coexistence, to which the behaviors, tasks, and activities of the human being must be adjusted. The set or system of norms, rules, or duties regulates the actions of individuals among themselves. This work presents a new and original approach to the situations of agreement as well as to the constructions of regulations. This is done by giving a mathematical formalization to the set of all possible agreements or regulations, so that, then, the proximity between them is defined by means of a premetric. Thanks to this mathematical structure that tries to capture the problematic of agreements and modifications of regulations, some currently issues related to game theory or law are now reduced to mathematical optimization problems.

Suggested Citation

  • Juan M. Benito-Ostolaza & María J. Campión & Asier Estevan, 2021. "A Mathematical Approach to Law and Deal Modelling: Legislation and Agreements," Mathematics, MDPI, vol. 9(10), pages 1-15, May.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:10:p:1116-:d:554757
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/10/1116/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/10/1116/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Warwick, Paul V., 1996. "Coalition Government Membership in West European Parliamentary Democracies," British Journal of Political Science, Cambridge University Press, vol. 26(4), pages 471-499, October.
    2. H. Peyton Young, 2015. "The Evolution of Social Norms," Annual Review of Economics, Annual Reviews, vol. 7(1), pages 359-387, August.
    3. Moran, Michael, 2002. "Review Article: Understanding the Regulatory State," British Journal of Political Science, Cambridge University Press, vol. 32(2), pages 391-413, April.
    4. Frank Biermann & Philipp Pattberg & Harro van Asselt & Fariborz Zelli, 2009. "The Fragmentation of Global Governance Architectures: A Framework for Analysis," Global Environmental Politics, MIT Press, vol. 9(4), pages 14-40, 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. Reinsberg,Bernhard Wilfried & Michaelowa,Katharina & Knack,Stephen, 2015. "Which donors, which funds ? the choice of multilateral funds by bilateral donors at the World Bank," Policy Research Working Paper Series 7441, The World Bank.
    2. Heike Schroeder, 2010. "Agency in international climate negotiations: the case of indigenous peoples and avoided deforestation," International Environmental Agreements: Politics, Law and Economics, Springer, vol. 10(4), pages 317-332, December.
    3. Simon Hartmann & Thomas Lindner & Jakob Müllner & Jonas Puck, 2022. "Beyond the nation-state: Anchoring supranational institutions in international business research," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 53(6), pages 1282-1306, August.
    4. Florian Diekert & Tillmann Eymess & Joseph Luomba & Israel Waichman, 2022. "The Creation of Social Norms under Weak Institutions," Journal of the Association of Environmental and Resource Economists, University of Chicago Press, vol. 9(6), pages 1127-1160.
    5. Philipp Pattberg, 2017. "The emergence of carbon disclosure: Exploring the role of governance entrepreneurs," Environment and Planning C, , vol. 35(8), pages 1437-1455, December.
    6. Theiss Bendixen, 2020. "How cultural evolution can inform the science of science communication—and vice versa," Palgrave Communications, Palgrave Macmillan, vol. 7(1), pages 1-10, December.
    7. Mette Eilstrup-Sangiovanni, 2022. "Ordering global governance complexes: The evolution of the governance complex for international civil aviation," The Review of International Organizations, Springer, vol. 17(2), pages 293-322, April.
    8. Tang, Can & Zhao, Zhong, 2022. "Informal institution meets child development," MERIT Working Papers 2022-032, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    9. Andrew Dustan & Stanislao Maldonado & Juan Manuel Hernandez-Agramonte, 2018. "Motivating bureaucrats with non-monetary incentives when state capacity is weak: Evidence from large-scale field experiments in Peru," Working Papers 136, Peruvian Economic Association.
    10. Sylvia Karlsson-Vinkhuyzen & Harro Asselt, 2009. "Introduction: exploring and explaining the Asia-Pacific Partnership on Clean Development and Climate," International Environmental Agreements: Politics, Law and Economics, Springer, vol. 9(3), pages 195-211, August.
    11. Arefin, Md. Rajib & Tanimoto, Jun, 2024. "Coupling injunctive social norms with evolutionary games," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    12. Locatelli, C. & Abbas, M., 2019. "Interdépendance complexe et hybridation des modèles institutionnels nationaux : le cas des relations énergétique UE-Russie," Working Papers 2019-02, Grenoble Applied Economics Laboratory (GAEL).
    13. Chen, Shihua & Chen, Yulin & Jebran, Khalil, 2021. "Trust and corporate social responsibility: From expected utility and social normative perspective," Journal of Business Research, Elsevier, vol. 134(C), pages 518-530.
    14. Kadam, Parag & Dwivedi, Puneet & Karnatz, Caroline, 2021. "Mapping convergence of sustainable forest management systems: Comparing three protocols and two certification schemes for ascertaining the trends in global forest governance," Forest Policy and Economics, Elsevier, vol. 133(C).
    15. Fenske, James & Wang, Shizhuo, 2023. "Tradition and mortality: Evidence from twin infanticide in Africa," Journal of Development Economics, Elsevier, vol. 163(C).
    16. Melanie van Driel & Frank Biermann & Rakhyun E. Kim & Marjanneke J. Vijge, 2022. "International organisations as ‘custodians’ of the sustainable development goals? Fragmentation and coordination in sustainability governance," Global Policy, London School of Economics and Political Science, vol. 13(5), pages 669-682, November.
    17. van der Ven, Hamish & Sun, Yixian & Cashore, Benjamin, 2021. "Sustainable commodity governance and the global south," Ecological Economics, Elsevier, vol. 186(C).
    18. Kreuder-Sonnen, Christian & Zangl, Bernhard, 2015. "Which post-Westphalia? International organizations between constitutionalism and authoritarianism," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 21(3), pages 568-594.
    19. Arnold J. Bomans & Peter Roessingh, 2024. "Decision Change: The First Step to System Change," Sustainability, MDPI, vol. 16(6), pages 1-22, March.
    20. István P. Székely & Melanie Ward-Warmedinger, 2018. "Reform Reversals: Areas, Circumstances and Motivations," Comparative Economic Studies, Palgrave Macmillan;Association for Comparative Economic Studies, vol. 60(4), pages 559-582, December.

    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:gam:jmathe:v:9:y:2021:i:10:p:1116-:d:554757. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.