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Sequential choice of sharing rules in collective contests

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  • Pau Balart
  • Sabine Flamand
  • Oliver Gürtler
  • Orestis Troumpounis

Abstract

Groups competing for a prize need to determine how to distribute it among their members in case of victory. Considering competition between two groups of different size, we show that the small group's sharing rule is a strategic complement to the large group's sharing rule in the sense that if the small group chooses a more meritocratic sharing rule, the large group wishes to choose a more meritocratic rule as well. On the contrary, the large group's sharing rule is a strategic substitute to the small group's sharing rule, hence the timing of choice is crucial. For sufficiently private prizes, a switch from a simultaneous choice to the small group being the leader consists in a Pareto improvement and reduces aggregate effort. On the contrary, when the large group is the leader, aggregate effort increases. As a result, the equilibrium timing is such that the small group chooses its sharing rule first. If the prize is not private enough, the small group retires from the competition and switching from a simultaneous to a sequential timing may reverse the results in terms of aggregate effort. The sequential timing also guarantees that the small group never outperforms the large one.

Suggested Citation

  • Pau Balart & Sabine Flamand & Oliver Gürtler & Orestis Troumpounis, 2018. "Sequential choice of sharing rules in collective contests," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 20(5), pages 703-724, October.
  • Handle: RePEc:bla:jpbect:v:20:y:2018:i:5:p:703-724
    DOI: 10.1111/jpet.12303
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    as
    1. Michael R. Baye & Dan Kovenock & Casper G. Vries, 2005. "Comparative Analysis of Litigation Systems: An Auction-Theoretic Approach," Economic Journal, Royal Economic Society, vol. 115(505), pages 583-601, July.
    2. Gal-Or, Esther, 1985. "First Mover and Second Mover Advantages," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(3), pages 649-653, October.
    3. Hoffmann, Magnus & Rota-Graziosi, Grégoire, 2012. "Endogenous timing in general rent-seeking and conflict models," Games and Economic Behavior, Elsevier, vol. 75(1), pages 168-184.
    4. van Damme, Eric & Hurkens, Sjaak, 1999. "Endogenous Stackelberg Leadership," Games and Economic Behavior, Elsevier, vol. 28(1), pages 105-129, July.
    5. Lee, Sanghack, 1995. "Endogenous Sharing Rules in Collective-Group Rent-Seeking," Public Choice, Springer, vol. 85(1-2), pages 31-44, October.
    6. Dan Kovenock & Michael R. Baye & Casper G. de Vries, 1996. "The all-pay auction with complete information (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 291-305.
    7. Pau Balart & Sabine Flamand & Orestis Troumpounis, 2016. "Strategic choice of sharing rules in collective contests," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(2), pages 239-262, February.
    8. Van Long, Ngo, 2013. "The theory of contests: A unified model and review of the literature," European Journal of Political Economy, Elsevier, vol. 32(C), pages 161-181.
    9. Lee, Sanghack & Hyeong Kang, J., 1998. "Collective contests with externalities," European Journal of Political Economy, Elsevier, vol. 14(4), pages 727-738, November.
    10. 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.
    11. Stergios Skaperdas & Amjad Toukan & Samarth Vaidya, 2016. "Difference-Form Persuasion Contests," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(6), pages 882-909, December.
    12. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    13. Nitzan, Shmuel, 1991. "Collective Rent Dissipation," Economic Journal, Royal Economic Society, vol. 101(409), pages 1522-1534, November.
    14. 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.
    15. Hamilton, Jonathan H. & Slutsky, Steven M., 1990. "Endogenous timing in duopoly games: Stackelberg or cournot equilibria," Games and Economic Behavior, Elsevier, vol. 2(1), pages 29-46, March.
    16. Kolmar, Martin, 2013. "Group Conflicts. Where do we stand?," Economics Working Paper Series 1331, University of St. Gallen, School of Economics and Political Science.
    17. Hwan Baik, Kyung & Lee, Sanghack, 1997. "Collective rent seeking with endogenous group sizes," European Journal of Political Economy, Elsevier, vol. 13(1), pages 121-130, February.
    18. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    19. Deneckere, Raymond J & Kovenock, Dan & Lee, Robert, 1992. "A Model of Price Leadership Based on Consumer Loyalty," Journal of Industrial Economics, Wiley Blackwell, vol. 40(2), pages 147-156, June.
    20. van Damme, Eric & Hurkens, Sjaak, 1999. "Endogenous Stackelberg Leadership," Games and Economic Behavior, Elsevier, vol. 28(1), pages 105-129, July.
    21. Amir, Rabah & Grilo, Isabel, 1999. "Stackelberg versus Cournot Equilibrium," Games and Economic Behavior, Elsevier, vol. 26(1), pages 1-21, January.
    22. Avinash Dixit, 1979. "A Model of Duopoly Suggesting a Theory of Entry Barriers," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 20-32, Spring.
    23. Nitzan, Shmuel & Ueda, Kaoru, 2011. "Prize sharing in collective contests," European Economic Review, Elsevier, vol. 55(5), pages 678-687, June.
    24. Kyung Hwan Baik, 2016. "Contests with Alternative Public-Good Prizes," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(4), pages 545-559, August.
    25. Davis, Douglas D & Reilly, Robert J, 1999. "Rent-Seeking with Non-identical Sharing Rules: An Equilibrium Rescued," Public Choice, Springer, vol. 100(1-2), pages 31-38, July.
    26. Paul Pecorino & Akram Temimi, 2008. "The Group Size Paradox Revisited," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(5), pages 785-799, October.
    27. Dixit, Avinash K, 1987. "Strategic Behavior in Contests," American Economic Review, American Economic Association, vol. 77(5), pages 891-898, December.
    28. 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.
    29. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603, November.
    30. NITZAN, Shmuel & UEDA, Kaoru, 2016. "Selective Incentives and Intra-Group Heterogeneity in Collective Contents," Discussion paper series HIAS-E-24, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    31. Kyung Hwan Baik, 1994. "Winner‐Help‐Loser Group Formation In Rent‐Seeking Contests," Economics and Politics, Wiley Blackwell, vol. 6(2), pages 147-162, July.
    32. Raymond J. Deneckere & Dan Kovenock, 1992. "Price Leadership," Review of Economic Studies, Oxford University Press, vol. 59(1), pages 143-162.
      • Raymond Deneckere & Dan Kovenock, 1988. "Price Leadership," Discussion Papers 773, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    33. Magnus Hoffmann & Grégoire Rota-Graziosi, 2012. "Endogenous timing in general rent-seeking and conflict models," Post-Print hal-01904528, HAL.
    34. Katz, Eliakim & Nitzan, Shmuel & Rosenberg, Jacob, 1990. "Rent-Seeking for Pure Public Goods," Public Choice, Springer, vol. 65(1), pages 49-60, April.
    35. Esteban, Joan & Ray, Debraj, 2001. "Collective Action and the Group Size Paradox," American Political Science Review, Cambridge University Press, vol. 95(3), pages 663-672, September.
    36. Noh, Suk Jae, 1999. "A General Equilibrium Model of Two Group Conflict with Endogenous Intra-group Sharing Rules," Public Choice, Springer, vol. 98(3-4), pages 251-267, March.
    37. Kaoru Ueda, 2002. "Oligopolization in collective rent-seeking," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 613-626.
    38. Leininger, Wolfgang, 1993. "More Efficient Rent-Seeking--A Munchhausen Solution," Public Choice, Springer, vol. 75(1), pages 43-62, January.
    39. Baik, Kyung Hwan & Lee, Sanghack, 2001. "Strategic Groups and Rent Dissipation," Economic Inquiry, Western Economic Association International, vol. 39(4), pages 672-684, October.
    40. Sung-Ha Hwang, 2017. "Conflict technology in cooperation: The group size paradox revisited," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 19(4), pages 875-898, August.
    41. Martin Kolmar & Andreas Wagener, 2013. "Inefficiency As A Strategic Device In Group Contests Against Dominant Opponents," Economic Inquiry, Western Economic Association International, vol. 51(4), pages 2083-2095, October.
    42. Farmer, Amy & Pecorino, Paul, 1999. "Legal Expenditure as a Rent-Seeking Game," Public Choice, Springer, vol. 100(3-4), pages 271-288, September.
    43. Baik, Kyung H & Shogren, Jason F, 1992. "Strategic Behavior in Contests: Comment," American Economic Review, American Economic Association, vol. 82(1), pages 359-362, March.
    44. Pim Heijnen & Lambert Schoonbeek, 2017. "Signaling in a Rent-Seeking Contest with One-Sided Asymmetric Information," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 19(2), pages 548-564, April.
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