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Group formation in a dominance-seeking contest

Author

Listed:
  • Dongryul Lee

    (Sungshin University)

  • Pilwon Kim

    (UNIST (Ulsan National Institute of Science and Technology))

Abstract

We study a group formation game. Players with different strengths form groups before expending effort to win a prize. The prize has the nature of the reward for outdoing in competition such as holding a dominant position among players or being recognized as a dominant status. So, it has the nature of public goods within a winning group (group-specific public goods). In open membership game, we find that a single player stays alone and the others form a group together in equilibrium. The stand-alone player can be anyone except for the first and second strongest players in the contest. However, strong (Nash) equilibrium predicts that the weakest player is isolated. Similarly, we find that in exclusive membership game, every structure can emerge in equilibrium but the weakest player is isolated in the strong equilibrium.

Suggested Citation

  • Dongryul Lee & Pilwon Kim, 2022. "Group formation in a dominance-seeking contest," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(1), pages 39-68, January.
    • Handle: RePEc:spr:sochwe:v:58:y:2022:i:1:d:10.1007_s00355-021-01346-7
    DOI: 10.1007/s00355-021-01346-7
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    as
    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Garfinkel, Michelle R., 2004. "Stable alliance formation in distributional conflict," European Journal of Political Economy, Elsevier, vol. 20(4), pages 829-852, November.
    3. Shmuel Nitzan, 2008. "Collective Rent Dissipation," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 309-321, Springer.
    4. Herbst, Luisa & Konrad, Kai A. & Morath, Florian, 2015. "Endogenous group formation in experimental contests," European Economic Review, Elsevier, vol. 74(C), pages 163-189.
    5. Joan Esteban, 2003. "Olson VS. Coase: Coalitional Worth in Conflict," Theory and Decision, Springer, vol. 55(4), pages 339-357, December.
    6. Kyung Hwan Baik, 2016. "Endogenous Group Formation in Contests: Unobservable Sharing Rules," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 25(2), pages 400-419, April.
    7. Keith Hartley & Todd Sandler (ed.), 2007. "Handbook of Defense Economics," Handbook of Defense Economics, Elsevier, edition 1, volume 2, number 1.
    8. Hideo Konishi & Chen‐Yu Pan, 2020. "Sequential formation of alliances in survival contests," International Journal of Economic Theory, The International Society for Economic Theory, vol. 16(1), pages 95-105, March.
    9. Kolmar, Martin & Rommeswinkel, Hendrik, 2013. "Contests with group-specific public goods and complementarities in efforts," Journal of Economic Behavior & Organization, Elsevier, vol. 89(C), pages 9-22.
    10. Kyung Baik, 2008. "Contests with group-specific public-good prizes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(1), pages 103-117, January.
    11. Ray, Debraj & Vohra, Rajiv, 1999. "A Theory of Endogenous Coalition Structures," Games and Economic Behavior, Elsevier, vol. 26(2), pages 286-336, January.
    12. Kai A. Konrad & Florian Morath, 2018. "To Deter Or To Moderate? Alliance Formation In Contests With Incomplete Information," Economic Inquiry, Western Economic Association International, vol. 56(3), pages 1447-1463, July.
    13. 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.
    14. Kolmar, Martin, 2013. "Group Conflicts. Where do we stand?," Economics Working Paper Series 1331, University of St. Gallen, School of Economics and Political Science.
    15. Chowdhury, Subhasish M. & Lee, Dongryul & Sheremeta, Roman M., 2013. "Top guns may not fire: Best-shot group contests with group-specific public good prizes," Journal of Economic Behavior & Organization, Elsevier, vol. 92(C), pages 94-103.
    16. Richard Cornes & Roger Hartley, 2005. "Asymmetric contests with general technologies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 923-946, November.
    17. Subhasish M. Chowdhury & Iryna Topolyan, 2016. "Best-shot versus weakest-link in political lobbying: an application of group all-pay auction," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(4), pages 959-971, December.
    18. Santiago Sánchez-Pagés, 2007. "Endogenous coalition formation in contests," Review of Economic Design, Springer;Society for Economic Design, vol. 11(2), pages 139-163, September.
    19. 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.
    20. Stein, William E, 2002. "Asymmetric Rent-Seeking with More Than Two Contestants," Public Choice, Springer, vol. 113(3-4), pages 325-336, December.
    21. Subhasish Chowdhury & Oliver Gürtler, 2015. "Sabotage in contests: a survey," Public Choice, Springer, vol. 164(1), pages 135-155, July.
    22. Baik, Kyung Hwan, 1993. "Effort levels in contests : The public-good prize case," Economics Letters, Elsevier, vol. 41(4), pages 363-367.
    23. Roger D. Congleton & Arye L. Hillman (ed.), 2015. "Companion to the Political Economy of Rent Seeking," Books, Edward Elgar Publishing, number 15325.
    24. 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.
    25. Garfinkel, Michelle R. & Skaperdas, Stergios, 2007. "Economics of Conflict: An Overview," Handbook of Defense Economics, in: Keith Hartley & Todd Sandler (ed.), Handbook of Defense Economics, edition 1, volume 2, chapter 22, pages 649-709, Elsevier.
    26. Hiller, Timo, 2017. "Friends and enemies: a model of signed network formation," Theoretical Economics, Econometric Society, vol. 12(3), September.
    27. Francis Bloch & Santiago Sánchez-Pagés & Raphaël Soubeyran, 2006. "When does universal peace prevail? Secession and group formation in conflict," Economics of Governance, Springer, vol. 7(1), pages 3-29, January.
    28. Reinhard Selten, 1973. "A Simple Model of Imperfect Competition, where 4 are Few and 6 are Many," Center for Mathematical Economics Working Papers 008, Center for Mathematical Economics, Bielefeld University.
    29. Garfinkel, Michelle R. & Skaperdas, Stergios (ed.), 2012. "The Oxford Handbook of the Economics of Peace and Conflict," OUP Catalogue, Oxford University Press, number 9780195392777.
    30. 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.
    31. repec:wly:soecon:v:83:1:y:2016:p:105-125 is not listed on IDEAS
    32. Baik, Kyung Hwan & Shogren, Jason F, 1995. "Competitive-Share Group Formation in Rent-Seeking Contests," Public Choice, Springer, vol. 83(1-2), pages 113-126, April.
    33. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    34. Subhasish M. Chowdhury & Dongryul Lee & Iryna Topolyan, 2016. "The Max‐Min Group Contest: Weakest‐link (Group) All‐Pay Auction," Southern Economic Journal, John Wiley & Sons, vol. 83(1), pages 105-125, July.
    35. Dongryul Lee, 2015. "Group contests and technologies," Economics Bulletin, AccessEcon, vol. 35(4), pages 2427-2438.
    36. Bergstrom, Theodore & Blume, Lawrence & Varian, Hal, 1986. "On the private provision of public goods," Journal of Public Economics, Elsevier, vol. 29(1), pages 25-49, February.
    37. Roman M. Sheremeta, 2018. "Behavior In Group Contests: A Review Of Experimental Research," Journal of Economic Surveys, Wiley Blackwell, vol. 32(3), pages 683-704, July.
    38. Guofu Tan & Ruqu Wang, 2010. "Coalition formation in the presence of continuing conflict," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 273-299, March.
    39. Noh, Suk Jae, 2002. "Resource distribution and stable alliances with endogenous sharing rules," European Journal of Political Economy, Elsevier, vol. 18(1), pages 129-151, March.
    40. Claude d'Aspremont & Alexis Jacquemin & Jean Jaskold Gabszewicz & John A. Weymark, 1983. "On the Stability of Collusive Price Leadership," Canadian Journal of Economics, Canadian Economics Association, vol. 16(1), pages 17-25, February.
    41. Skaperdas, Stergios, 1998. "On the Formation of Alliances in Conflict and Contests," Public Choice, Springer, vol. 96(1-2), pages 25-42, July.
    42. Katz, Eliakim & Nitzan, Shmuel & Rosenberg, Jacob, 1990. "Rent-Seeking for Pure Public Goods," Public Choice, Springer, vol. 65(1), pages 49-60, April.
    43. Gil S. Epstein & Yosef Mealem, 2009. "Group Specific Public Goods, Orchestration of Interest Groups and Free Riding," Working Papers 2009-02, Bar-Ilan University, Department of Economics.
    44. Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May.
    45. Sheremeta, Roman, 2018. "Experimental Research on Contests," MPRA Paper 89327, University Library of Munich, Germany.
    46. Sang-Seung Yi, 1998. "Endogenous Formation of Joint Ventures with Efficiency Gains," RAND Journal of Economics, The RAND Corporation, vol. 29(3), pages 610-631, Autumn.
    47. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
    48. Gil Epstein & Yosef Mealem, 2009. "Group specific public goods, orchestration of interest groups with free riding," Public Choice, Springer, vol. 139(3), pages 357-369, June.
    49. Baik, Kyung Hwan & Lee, Sanghack, 2001. "Strategic Groups and Rent Dissipation," Economic Inquiry, Western Economic Association International, vol. 39(4), pages 672-684, October.
    50. Yi, Sang-Seung & Shin, Hyukseung, 2000. "Endogenous formation of research coalitions with spillovers," International Journal of Industrial Organization, Elsevier, vol. 18(2), pages 229-256, February.
    51. Dongryul Lee, 2017. "Average-opinion group contest," Economics Bulletin, AccessEcon, vol. 37(1), pages 79-93.
    52. Lee, Dongryul, 2012. "Weakest-link contests with group-specific public good prizes," European Journal of Political Economy, Elsevier, vol. 28(2), pages 238-248.
    53. Subhasish M. Chowdhury & Iryna Topolyan, 2016. "The Attack-And-Defense Group Contests: Best Shot Versus Weakest Link," Economic Inquiry, Western Economic Association International, vol. 54(1), pages 548-557, January.
    54. Dongryul Lee & Joon Song, 2019. "Optimal Team Contests to Induce More Efforts," Journal of Sports Economics, , vol. 20(3), pages 448-476, April.
    55. Nitzan, Shmuel, 1994. "Modelling rent-seeking contests," European Journal of Political Economy, Elsevier, vol. 10(1), pages 41-60, May.
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