IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v179y2024ics0960077923013206.html
   My bibliography  Save this article

Contests in two fronts

Author

Listed:
  • de Miguel-Arribas, A.
  • Morón-Vidal, J.
  • Floría, L.M.
  • Gracia-Lázaro, C.
  • Hernández, L.
  • Moreno, Y.

Abstract

Within the framework of Game Theory, there are games where rewards depend on the relative rank between contenders rather than their absolute performance. We refer to these situations as contests. By relying on the formalism of Tullock success functions, we propose a model where two contenders fight in a contest on two fronts with different technology levels associated: a front with large resource demand and another with lower resource requirements. The parameter of the success function in each front determines the resource demand level. Furthermore, the redistribution or not of resources after a tie defines two different games. We solve the model analytically through the best-response map dynamics, finding a critical threshold for the ratio of the resources between contenders that determines the Nash Equilibrium basin and, consequently, the peace and fighting regimes. We also perform numerical simulations that corroborate and extend these findings. We hope this study will be of interest to areas as diverse as economic conflicts and geopolitics.

Suggested Citation

  • de Miguel-Arribas, A. & Morón-Vidal, J. & Floría, L.M. & Gracia-Lázaro, C. & Hernández, L. & Moreno, Y., 2024. "Contests in two fronts," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    • Handle: RePEc:eee:chsofr:v:179:y:2024:i:c:s0960077923013206
    DOI: 10.1016/j.chaos.2023.114418
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923013206
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2023.114418?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. Daron Acemoglu & Mikhail Golosov & Aleh Tsyvinski & Pierre Yared, 2012. "A Dynamic Theory of Resource Wars," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(1), pages 283-331.
    2. Subhasish Chowdhury & Roman Sheremeta, 2011. "A generalized Tullock contest," Public Choice, Springer, vol. 147(3), pages 413-420, June.
    3. Francesco Caselli & Massimo Morelli & Dominic Rohner, 2015. "The Geography of Interstate Resource Wars," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 130(1), pages 267-315.
    4. Gil S. Epstein & Carsten Hefeker, 2003. "Lobbying contests with alternative instruments," Economics of Governance, Springer, vol. 4(1), pages 81-89, April.
    5. Michael R. Baye & Dan Kovenock & Casper G. Vries, 2008. "Rigging the lobbying process: An application of the all-pay auction," Springer Books, in: Roger D. Congleton & Kai A. Konrad & Arye L. Hillman (ed.), 40 Years of Research on Rent Seeking 2, pages 331-336, Springer.
    6. Avinash Dixit, 2008. "Strategic Behavior in Contests," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 431-438, Springer.
    7. Skaperdas, Stergios, 1992. "Cooperation, Conflict, and Power in the Absence of Property Rights," American Economic Review, American Economic Association, vol. 82(4), pages 720-739, September.
    8. Krueger, Anne O, 1974. "The Political Economy of the Rent-Seeking Society," American Economic Review, American Economic Association, vol. 64(3), pages 291-303, June.
    9. Francesco Caselli, 2012. "The Geography of Inter-State Resource Wars," 2012 Meeting Papers 1174, Society for Economic Dynamics.
    10. Skaperdas, Stergios & Grofman, Bernard, 1995. "Modeling Negative Campaigning," American Political Science Review, Cambridge University Press, vol. 89(1), pages 49-61, March.
    11. Stiglitz, Joseph E, 1981. "Pareto Optimality and Competition," Journal of Finance, American Finance Association, vol. 36(2), pages 235-251, May.
    12. Swanepoel, Celeste & Lye, Ashley & Rugimbana, Robert, 2009. "Virally inspired: A review of the theory of viral stealth marketing," Australasian marketing journal, Elsevier, vol. 17(1), pages 9-15.
    13. Michele Piccione & Ariel Rubinstein, 2007. "Equilibrium in the Jungle," Economic Journal, Royal Economic Society, vol. 117(522), pages 883-896, July.
    14. Dziubiński, Marcin & Goyal, Sanjeev & Minarsch, David E.N., 2021. "The strategy of conquest," Journal of Economic Theory, Elsevier, vol. 191(C).
    15. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    16. Sandeep Baliga & Tomas Sjostrom, 2013. "Bargaining and War: A Review of Some Formal Models," Korean Economic Review, Korean Economic Association, vol. 29, pages 235-266.
    17. David K Levine & Salvatore Modica, 2013. "Conflict, Evolution, Hegemony, and the Power of the State," Levine's Working Paper Archive 786969000000000692, David K. Levine.
    18. Natalija Novta, 2016. "Ethnic Diversity and the Spread of Civil War," Journal of the European Economic Association, European Economic Association, vol. 14(5), pages 1074-1100.
    19. Riker, William H., 1982. "The Two-party System and Duverger's Law: An Essay on the History of Political Science," American Political Science Review, Cambridge University Press, vol. 76(4), pages 753-766, December.
    20. Jack Hirshleifer, 1989. "Conflict and rent-seeking success functions: Ratio vs. difference models of relative success," Public Choice, Springer, vol. 63(2), pages 101-112, November.
    21. Natalija Novta, 2016. "Ethnic Diversity And The Spread Of Civil War," Journal of the European Economic Association, European Economic Association, vol. 14(5), pages 1074-1100, October.
    22. repec:elg:eechap:15325_3 is not listed on IDEAS
    23. Gary S. Becker, 1983. "A Theory of Competition Among Pressure Groups for Political Influence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(3), pages 371-400.
    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. Dziubiński, Marcin & Goyal, Sanjeev & Minarsch, David E.N., 2021. "The strategy of conquest," Journal of Economic Theory, Elsevier, vol. 191(C).
    2. Kimbrough, Erik O. & Laughren, Kevin & Sheremeta, Roman, 2020. "War and conflict in economics: Theories, applications, and recent trends," Journal of Economic Behavior & Organization, Elsevier, vol. 178(C), pages 998-1013.
    3. Jia, Hao & Skaperdas, Stergios & Vaidya, Samarth, 2013. "Contest functions: Theoretical foundations and issues in estimation," International Journal of Industrial Organization, Elsevier, vol. 31(3), pages 211-222.
    4. Bilancini, Ennio & Boncinelli, Leonardo & Marcos-Prieto, Pablo, 2024. "Conflict initiation function shapes the evolution of persistent outcomes in group conflict," European Economic Review, Elsevier, vol. 161(C).
    5. Eduardo Zambrano, 1999. "Formal Models Of Authority," Rationality and Society, , vol. 11(2), pages 115-138, May.
    6. van der Ploeg, Frederick, 2018. "Political economy of dynamic resource wars," Journal of Environmental Economics and Management, Elsevier, vol. 92(C), pages 765-782.
    7. Garfinkel, Michelle R. & Skaperdas, Stergios & Syropoulos, Constantinos, 2015. "Trade and insecure resources," Journal of International Economics, Elsevier, vol. 95(1), pages 98-114.
    8. Konrad, Kai A., 2007. "Strategy in contests: an introduction [Strategie in Turnieren – eine Einführung]," Discussion Papers, Research Unit: Market Processes and Governance SP II 2007-01, WZB Berlin Social Science Center.
    9. Karl Wärneryd, 2012. "Multi-player contests with asymmetric information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 277-287, October.
    10. Raul Caruso, 2008. "Reciprocity in the shadow of threat," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 55(1), pages 91-111, April.
    11. Konrad, Kai A., 2000. "Trade contests," Journal of International Economics, Elsevier, vol. 51(2), pages 317-334, August.
    12. Caruso Raul, 2006. "Conflict and Conflict Management with Interdependent Instruments and Asymmetric Stakes, (The Good-Cop and the Bad-Cop Game)," Peace Economics, Peace Science, and Public Policy, De Gruyter, vol. 12(1), pages 1-53, September.
    13. Satya R. Chakravarty & Bhargav Maharaj, 2014. "New contest success functions," Working Papers 340, ECINEQ, Society for the Study of Economic Inequality.
    14. Cedric Duvinage & Peter-J. Jost, 2019. "The Role of Referees in Professional Sports Contests," Journal of Sports Economics, , vol. 20(8), pages 1014-1050, December.
    15. Emmanuel Dechenaux & Dan Kovenock & Roman Sheremeta, 2015. "A survey of experimental research on contests, all-pay auctions and tournaments," Experimental Economics, Springer;Economic Science Association, vol. 18(4), pages 609-669, December.
    16. Beviá, Carmen & Corchón, Luis C., 2013. "Endogenous strength in conflicts," International Journal of Industrial Organization, Elsevier, vol. 31(3), pages 297-306.
    17. Kyung Hwan Baik & Jong Hwa Lee, 2013. "Endogenous Timing In Contests With Delegation," Economic Inquiry, Western Economic Association International, vol. 51(4), pages 2044-2055, October.
    18. van der Ploeg, Frederick & Rohner, Dominic, 2012. "War and natural resource exploitation," European Economic Review, Elsevier, vol. 56(8), pages 1714-1729.
    19. Baik, Kyung Hwan, 1998. "Difference-form contest success functions and effort levels in contests," European Journal of Political Economy, Elsevier, vol. 14(4), pages 685-701, November.
    20. Pierre Pecher, 2018. "Ethnic divisions and the effect of appropriative competition intensity on economic performance," Economics of Governance, Springer, vol. 19(2), pages 165-193, May.

    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:eee:chsofr:v:179:y:2024:i:c:s0960077923013206. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.