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A noncooperative model of contest network formation
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A noncooperative model of contest network formation

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  • Kenan Huremović

Abstract

In this paper we study a model of weighted network formation. The bilateral interaction is modeled as a Tullock contest game with the possibility of a draw. We describe stable networks under different concepts of stability. We show that a Nash stable network is either the empty network or the complete network. The complete network is not immune to bilateral deviations. When we allow for limited farsightedness, a stable network immune to bilateral deviations must be a complete M‐partite network, with partitions of different sizes. We provide several comparative statics results illustrating the importance of the structure of stable networks in mediating the effects of shocks and interventions. In particular, we show that an increase in the likelihood of a draw has a nonmonotonic effect on the level of wasteful contest spending in the society. To the best of our knowledge, this paper is the first attempt to model weighted network formation when the actions of individuals are neither strategic complements nor strategic substitutes.

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  • Kenan Huremović, 2021. "A noncooperative model of contest network formation," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(2), pages 275-317, April.
    • Handle: RePEc:bla:jpbect:v:23:y:2021:i:2:p:275-317
    DOI: 10.1111/jpet.12475
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    as
    1. Bramoulle, Yann & Galeotti, Andrea & Rogers, Brian (ed.), 2016. "The Oxford Handbook of the Economics of Networks," OUP Catalogue, Oxford University Press, number 9780199948277.
    2. Fuente,Angel de la, 2000. "Mathematical Methods and Models for Economists," Cambridge Books, Cambridge University Press, number 9780521585293.
    3. Deroian, F., 2009. "Endogenous link strength in directed communication networks," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 110-116, January.
    4. Grandjean, G. & Tellone, D. & Vergote, W., 2017. "Endogenous network formation in a Tullock contest," Mathematical Social Sciences, Elsevier, vol. 85(C), pages 1-10.
    5. Ana Mauleon & Huasheng Song & Vincent Vannetelbosch, 2010. "Networks of Free Trade Agreements among Heterogeneous Countries," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(3), pages 471-500, June.
    6. Luis C. Corchón & Marco A. Marini (ed.), 2018. "Handbook of Game Theory and Industrial Organization, Volume II," Books, Edward Elgar Publishing, number 17978.
    7. J. Amegashie, 2006. "A contest success function with a tractable noise parameter," Public Choice, Springer, vol. 126(1), pages 135-144, January.
    8. Herings, P. Jean-Jacques & Mauleon, Ana & Vannetelbosch, Vincent, 2009. "Farsightedly stable networks," Games and Economic Behavior, Elsevier, vol. 67(2), pages 526-541, November.
    9. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    10. Hiller, Timo, 2011. "Alliance Formation and Coercion in Networks," Climate Change and Sustainable Development 108251, Fondazione Eni Enrico Mattei (FEEM).
    11. Matthew O. Jackson & Stephen Nei, 2014. "Networks of Military Alliances, Wars, and International Trade," Working Papers 2014.46, Fondazione Eni Enrico Mattei.
    12. Bloch, Francis & Dutta, Bhaskar, 2009. "Communication networks with endogenous link strength," Games and Economic Behavior, Elsevier, vol. 66(1), pages 39-56, May.
    13. MacKenzie, Ian A. & Ohndorf, Markus, 2013. "Restricted Coasean bargaining," Journal of Public Economics, Elsevier, vol. 97(C), pages 296-307.
    14. Gilles Grandjean & Ana Mauleon & Vincent Vannetelbosch, 2011. "Connections Among Farsighted Agents," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 13(6), pages 935-955, December.
    15. 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.
    16. Nti, Kofi O, 1997. "Comparative Statics of Contests and Rent-Seeking Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 43-59, February.
    17. Renaud Bourlès & Yann Bramoullé & Eduardo Perez‐Richet, 2017. "Altruism in Networks," Econometrica, Econometric Society, vol. 85, pages 675-689, March.
    18. 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.
    19. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
    20. Andrea Galeotti & Sanjeev Goyal, 2010. "The Law of the Few," American Economic Review, American Economic Association, vol. 100(4), pages 1468-1492, September.
    21. Michael D. König & Dominic Rohner & Mathias Thoenig & Fabrizio Zilibotti, 2017. "Networks in Conflict: Theory and Evidence From the Great War of Africa," Econometrica, Econometric Society, vol. 85, pages 1093-1132, July.
    22. Zenou, Yves & Xu, Jin & Zhou, Junjie, 2019. "Networks in Conflict: A Variational Inequality Approach," CEPR Discussion Papers 13647, C.E.P.R. Discussion Papers.
    23. Kvasov, Dmitriy, 2007. "Contests with limited resources," Journal of Economic Theory, Elsevier, vol. 136(1), pages 738-748, September.
    24. Inderst, Roman & Muller, Holger M. & Warneryd, Karl, 2007. "Distributional conflict in organizations," European Economic Review, Elsevier, vol. 51(2), pages 385-402, February.
    25. Kirchsteiger, Georg & Mantovani, Marco & Mauleon, Ana & Vannetelbosch, Vincent, 2016. "Limited farsightedness in network formation," Journal of Economic Behavior & Organization, Elsevier, vol. 128(C), pages 97-120.
    26. Luis C. Corchón & Marco A. Marini (ed.), 2018. "Handbook of Game Theory and Industrial Organization, Volume I," Books, Edward Elgar Publishing, number 16873.
    27. V. Masson & S. Choi & A. Moore & M. Oak, 2018. "A model of informal favor exchange on networks," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 20(5), pages 639-656, October.
    28. Alexander Matros & David Michael Rietzke, 2017. "Contests on Networks," Working Papers 156630581, Lancaster University Management School, Economics Department.
    29. Baumann, Leonie, 2021. "A model of weighted network formation," Theoretical Economics, Econometric Society, vol. 16(1), January.
    30. Stefan Szymanski, 2010. "The Economic Design of Sporting Contests," Palgrave Macmillan Books, in: The Comparative Economics of Sport, chapter 1, pages 1-78, Palgrave Macmillan.
    31. Franke, Jörg & Öztürk, Tahir, 2015. "Conflict networks," Journal of Public Economics, Elsevier, vol. 126(C), pages 104-113.
      • Franke, Jörg & Öztürk, Tahir, 2009. "Conflict Networks," Ruhr Economic Papers 116, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    32. P. Jean-Jacques Herings & Ana Mauleon & Vincent Vannetelbosch, 2019. "Stability of networks under horizon-K farsightedness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(1), pages 177-201, July.
    33. Yann Bramoullé & Andrea Galeotti & Brian Rogers, 2016. "The Oxford Handbook of the Economics of Networks," Post-Print hal-03572533, HAL.
    34. Hiller, Timo, 2017. "Friends and enemies: a model of signed network formation," Theoretical Economics, Econometric Society, vol. 12(3), September.
    35. Markus Kinateder & Luca Paolo Merlino, 2017. "Public Goods in Endogenous Networks," American Economic Journal: Microeconomics, American Economic Association, vol. 9(3), pages 187-212, August.
    36. Luis C. Corchón & Marco Serena, 2018. "Contest theory," Chapters, in: Luis C. Corchón & Marco A. Marini (ed.), Handbook of Game Theory and Industrial Organization, Volume II, chapter 6, pages 125-146, Edward Elgar Publishing.
    37. Jin Zhang & Licun Xue & Lei Zu, 2013. "Farsighted free trade networks," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 375-398, May.
    38. 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.
    39. Pritha Dev, 2018. "Group identity in a network formation game with cost sharing," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 20(3), pages 390-415, June.
    40. Pavlo Blavatskyy, "undated". "Contest success function with the possibility of a draw: axiomatization," IEW - Working Papers 208, Institute for Empirical Research in Economics - University of Zurich.
    41. Masiliunas, Aidas & Mengel, Friederike & Reiss, J. Philipp, 2014. "Behavioral variation in Tullock contests," Working Paper Series in Economics 55, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
    42. Acemoglu, Daron & Jensen, Martin Kaae, 2013. "Aggregate comparative statics," Games and Economic Behavior, Elsevier, vol. 81(C), pages 27-49.
    43. Goodman, John C, 1980. "Note on Existence and Uniqueness of Equilibrium Points for Concave N-Person Games," Econometrica, Econometric Society, vol. 48(1), pages 251-251, January.
    44. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    45. Timo Hiller, 2011. "Alliance Formation and Coercion in Networks," Working Papers 2011.42, Fondazione Eni Enrico Mattei.
    46. Blavatskyy, Pavlo R., 2010. "Contest success function with the possibility of a draw: Axiomatization," Journal of Mathematical Economics, Elsevier, vol. 46(2), pages 267-276, March.
    47. Glenn C. Loury, 1979. "Market Structure and Innovation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(3), pages 395-410.
    48. Baye, Michael R. & Hoppe, Heidrun C., 2003. "The strategic equivalence of rent-seeking, innovation, and patent-race games," Games and Economic Behavior, Elsevier, vol. 44(2), pages 217-226, August.
    49. Goyal, Sanjeev & Vega-Redondo, Fernando, 2007. "Structural holes in social networks," Journal of Economic Theory, Elsevier, vol. 137(1), pages 460-492, November.
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    Cited by:

    1. Cai, Xinyue & Kimya, Mert, 2023. "Stability of alliance networks," Games and Economic Behavior, Elsevier, vol. 140(C), pages 401-409.
    2. Zenou, Yves & Xu, Jin & Zhou, Junjie, 2019. "Networks in Conflict: A Variational Inequality Approach," CEPR Discussion Papers 13647, C.E.P.R. Discussion Papers.
    3. Xu, Jin & Zenou, Yves & Zhou, Junjie, 2022. "Equilibrium characterization and shock propagation in conflict networks," Journal of Economic Theory, Elsevier, vol. 206(C).
    4. Sun, Xiang & Xu, Jin & Zhou, Junjie, 2023. "Effort discrimination and curvature of contest technology in conflict networks," Games and Economic Behavior, Elsevier, vol. 142(C), pages 978-991.
    5. Dziubiński, Marcin & Goyal, Sanjeev & Minarsch, David E.N., 2021. "The strategy of conquest," Journal of Economic Theory, Elsevier, vol. 191(C).
    6. Serhat Doğan & Kerim Keskin & Çağrı Sağlam, 2020. "Contests over joint production on networks," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 29(2), pages 377-400, April.
    7. Vega-Redondo, Fernando & Pin, Paolo & Ubfal, Diego & Benedetti, Priscilla & Domínguez, Magdalena & Rubera, Gaia & Hovy, Dirk & Fornaciari, Tommaso, 2024. "Networking entrepreneurs," UC3M Working papers. Economics 43954, Universidad Carlos III de Madrid. Departamento de Economía.
    8. Bo Chen & Shanlin Jin, 2023. "Elimination contests with collusive team players," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(1), pages 61-89, February.
    9. Zenou, Yves & Amarasinghe, Ashani & Raschky, Paul & Zhou, Junjie, 2020. "Conflicts in Spatial Networks," CEPR Discussion Papers 14300, C.E.P.R. Discussion Papers.
    10. Peter Devine & Sumit Joshi & Ahmed Saber Mahmud, 2024. "Alliance Formation in a Multipolar World," Boston College Working Papers in Economics 1071, Boston College Department of Economics.
    11. Cortes-Corrales, Sebastián & Gorny, Paul M., 2018. "Generalising Conflict Networks," MPRA Paper 90001, University Library of Munich, Germany.

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    JEL classification:

    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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