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A contest success function for networks

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  • Bozbay, Irem
  • Vesperoni, Alberto

Abstract

This paper models conflict as a contest within a network of friendships and enmities. We assume that each player is either in a friendly or in an antagonistic relation with every other player and players compete for winning by exerting costly efforts. We axiomatically characterize a success function which determines the win probability of each player given the efforts and the network of relations. In an extension, we allow for varying intensities of friendships and enmities. This framework allows for the study of strategic incentives and friendship formation under conflict as well as the application of stability concepts of network theory to contests.

Suggested Citation

  • Bozbay, Irem & Vesperoni, Alberto, 2018. "A contest success function for networks," Journal of Economic Behavior & Organization, Elsevier, vol. 150(C), pages 404-422.
    • Handle: RePEc:eee:jeborg:v:150:y:2018:i:c:p:404-422
    DOI: 10.1016/j.jebo.2018.01.022
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    as
    1. Tullock, Gordon, 1975. "On the Efficient Organization of Trials," Kyklos, Wiley Blackwell, vol. 28(4), pages 745-762.
    2. Birendra Rai & Rajiv Sarin, 2009. "Generalized contest success functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(1), pages 139-149, July.
    3. Cubel, María & Sanchez-Pages, Santiago, 2016. "An axiomatization of difference-form contest success functions," Journal of Economic Behavior & Organization, Elsevier, vol. 131(PA), pages 92-105.
    4. Sanjeev Goyal & Adrien Vigier, 2014. "Attack, Defence, and Contagion in Networks," Review of Economic Studies, Oxford University Press, vol. 81(4), pages 1518-1542.
    5. 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.
    6. Bettina Klose & Dan Kovenock, 2015. "Extremism drives out moderation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(4), pages 861-887, April.
    7. Joan Esteban & Debraj Ray, 2011. "Linking Conflict to Inequality and Polarization," American Economic Review, American Economic Association, vol. 101(4), pages 1345-1374, June.
    8. 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.
    9. Konrad, Kai A, 2000. "Sabotage in Rent-Seeking Contests," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 16(1), pages 155-165, April.
    10. Goyal, Sanjeev & Joshi, Sumit, 2003. "Networks of collaboration in oligopoly," Games and Economic Behavior, Elsevier, vol. 43(1), pages 57-85, April.
    11. Dan Kovenock & Brian Roberson, 2012. "Coalitional Colonel Blotto Games with Application to the Economics of Alliances," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 14(4), pages 653-676, August.
    12. Jackson, Matthew O. & Nei, Stephen, 2014. "Networks of Military Alliances, Wars, and International Trade," Climate Change and Sustainable Development 172702, Fondazione Eni Enrico Mattei (FEEM).
    13. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    14. Gordon Tullock, 1975. "On The Efficient Organization Of Trials," Kyklos, Wiley Blackwell, vol. 28(4), pages 745-762, November.
    15. David Rietzke & Brian Roberson, 2013. "The robustness of ‘enemy-of-my-enemy-is-my-friend’ alliances," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(4), pages 937-956, April.
    16. 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.
    17. 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.
    18. 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.
    19. Clark, D.J. & Riis, C., 1996. "On the Win Probability in Rent-Seeking Gemes," Memorandum 1996_005, Oslo University, Department of Economics.
    20. Hao Jia, 2008. "A stochastic derivation of the ratio form of contest success functions," Public Choice, Springer, vol. 135(3), pages 125-130, June.
    21. Dziubiński, Marcin & Goyal, Sanjeev & Minarsch, David E.N., 2021. "The strategy of conquest," Journal of Economic Theory, Elsevier, vol. 191(C).
    22. Bettina Klose & Dan Kovenock, 2015. "The all-pay auction with complete information and identity-dependent externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(1), pages 1-19, May.
    23. Qiang Fu & Jingfeng Lu, 2012. "Micro foundations of multi-prize lottery contests: a perspective of noisy performance ranking," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 497-517, March.
    24. Antoni Calvó-Armengol & Yves Zenou, 2004. "Social Networks And Crime Decisions: The Role Of Social Structure In Facilitating Delinquent Behavior," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(3), pages 939-958, August.
    25. repec:elg:eechap:15325_9 is not listed on IDEAS
    26. Jérémy Ghez, 2011. "Alliances in the 21st century," Post-Print hal-00577872, HAL.
    27. Hiller, Timo, 2017. "Friends and enemies: a model of signed network formation," Theoretical Economics, Econometric Society, vol. 12(3), September.
    28. Rosen, Sherwin, 1986. "Prizes and Incentives in Elimination Tournaments," American Economic Review, American Economic Association, vol. 76(4), pages 701-715, September.
    29. Paul Belleflamme & Francis Bloch, 2004. "Market sharing agreements and collusive networks," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 387-411, May.
    30. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    31. Alberto Vesperoni, 2016. "A contest success function for rankings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(4), pages 905-937, December.
    32. Maria Arbatskaya & Hugo Mialon, 2010. "Multi-activity contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 23-43, April.
    33. Jingfeng Lu & Zhewei Wang, 2016. "Axiomatization of reverse nested lottery contests," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(4), pages 939-957, December.
    34. Jack Hirshleifer, 1989. "Conflict and rent-seeking success functions: Ratio vs. difference models of relative success," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 251-262, Springer.
    35. Esteban, Joan & Ray, Debraj, 1999. "Conflict and Distribution," Journal of Economic Theory, Elsevier, vol. 87(2), pages 379-415, August.
    36. Lu, Jingfeng & Wang, Zhewei, 2015. "Axiomatizing multi-prize nested lottery contests: A complete and strict ranking perspective," Journal of Economic Behavior & Organization, Elsevier, vol. 116(C), pages 127-141.
    37. repec:oup:restud:v:81:y:2014:i:4:p:1518-1542. is not listed on IDEAS
    38. Francis Bloch & Matthew Jackson, 2006. "Definitions of equilibrium in network formation games," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 305-318, October.
    Full references (including those not matched with items on IDEAS)

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    2. López-Pintado, Dunia & Meléndez-Jiménez, Miguel A., 2021. "Far above others," Journal of Economic Theory, Elsevier, vol. 198(C).
      • Dunia López-Pintado & Miguel A. Meléndez-Jiménez, 2018. "Far above others," Working Papers 18.12, Universidad Pablo de Olavide, Department of Economics.
    3. Ewerhart, Christian & Valkanova, Kremena, 2020. "Fictitious play in networks," Games and Economic Behavior, Elsevier, vol. 123(C), pages 182-206.
    4. Christian Ewerhart, 2015. "Contest success functions: the common-pool perspective," ECON - Working Papers 195, Department of Economics - University of Zurich.
    5. Kjell Hausken, 2021. "Axiomatizing additive multi-effort contests," SN Business & Economics, Springer, vol. 1(11), pages 1-12, November.
    6. Cubel, María & Sanchez-Pages, Santiago, 2016. "An axiomatization of difference-form contest success functions," Journal of Economic Behavior & Organization, Elsevier, vol. 131(PA), pages 92-105.
    7. Send, Jonas, 2020. "Conflict between non-exclusive groups," Journal of Economic Behavior & Organization, Elsevier, vol. 177(C), pages 858-874.
    8. Cai, Xinyue & Kimya, Mert, 2023. "Stability of alliance networks," Games and Economic Behavior, Elsevier, vol. 140(C), pages 401-409.
    9. Friedhelm Hentschel, 2022. "Third-party intervention in secessions," Economics of Governance, Springer, vol. 23(1), pages 65-82, March.
    10. Kjell Hausken, 2020. "Additive multi-effort contests," Theory and Decision, Springer, vol. 89(2), pages 203-248, September.
    11. Huang, Ying & Jiao, Qian & Shen, Bo & Sun, Xiang, 2023. "Conflicts in regular networks," Journal of Mathematical Economics, Elsevier, vol. 106(C).

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    More about this item

    Keywords

    Conflict; Contest; Success function; Network; Pairwise stability;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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