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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/154230


    Title: 團隊競爭下的最適獎酬規則
    The Optimal Prize Sharing Rule in Group Contests
    Authors: 羅祐辰
    Lo, You-Chen
    Contributors: 潘振宇
    陳鎮洲

    Pan, Chen-Yu
    Chen, Jenn-Jou

    羅祐辰
    Lo, You-Chen
    Keywords: 團隊競賽
    最適報酬分配
    均分規則
    績效規則
    組別大小悖論
    團隊公共財
    Group contests
    Optimal prize sharing rule
    Egalitarian rule
    Meritocratic rules
    Group size paradox
    Group public goods
    Date: 2024
    Issue Date: 2024-11-01 11:35:48 (UTC+8)
    Abstract: 本文旨在研究團隊競賽中最適報酬分配。考慮一內生報酬分配的團
    隊競賽,在第一階段,每一位組長決定該組的獎酬分配規則以極大化
    組內勝率或福利。獎酬分配規則指定了公共財、基於均分規則和績效
    規則所分配的私有財之佔比。在第二階段,每位組員僅能觀察該組之
    獎酬規則,並決定要投入的努力程度。本文首先考慮線性獎酬函數。
    接著考慮準線性獎酬函數,我們證明了在此設定下,若組長目標為極
    大化勝率,則人數較多的組別會使用較多的績效規則且勝率較高。然
    而,當組長目標為極大化福利,則可能發生組別大小悖論。
    This paper aims to study the optimal prize-sharing rule in group contests. We consider a group contest with the endogenous choice of prize-sharing rule by leaders. In the first stage, each leader chooses the prize-sharing rule in
    her group to maximize their winning probability or utilitarian welfare. The prize-sharing rule specifies the proportion of public goods, meritocratic rule, or egalitarian rule. In the second stage, observing the prize-sharing rule chosen by their leader, group members put in their effort independently without observing other groups’ sharing rules. As a benchmark, we first solve a simple model with the linear prize-value function. Then, we consider the quasi-linear utility function. In this case, the larger group always uses a higher ratio of meritocratic rule if leaders are winning probability-maximizing, and
    the group size paradox never happens. However, when leaders are welfare-maximizing, the group-size paradox may reappear.
    Reference: Baik, K. H. (1993): “Effort levels in contests: The public-good prize case,” Economics Letters, 41(4), 363–367.

    -----(2008): “Contests with group-specific public-good prizes,” Social Choice and Welfare, 30, 103–117.

    Baik, K. H., and S. Lee (1997): “Collective rent seeking with endogenous group sizes,” European Journal of Political Economy, 13(1), 121–130.

    -----(2007): “Collective rent seeking when sharing rules are private information,” European Journal of Political Economy, 23(3), 768–776.

    Balart, P., S. Flamand, O. Gürtler, and O. Troumpounis (2018): “Sequential choice of sharing rules in collective contests,” Journal of Public Economic Theory, 20(5), 703–724.

    Balart, P., S. Flamand, and O. Troumpounis (2015): “Prize-sharing rules in collective rent seeking,” Companion to political economy of rent seeking, London:
    Edward Elgar, pp. 92–112.

    -----(2016): “Strategic choice of sharing rules in collective contests,” Social Choice
    and Welfare, 46, 239–262.

    Bloch, F. (2012): “Endogenous formation of alliances in conflicts,” in Oxford Handbook of the Economics of Peace and Conflict, ed. by R. Garfinkel, and S. Skaperdas. Oxford University Press, New York.

    Chamberlin, J. (1974): “Provision of collective goods as a function of group size,” American Political Science Review, 68(2), 707–716.

    Cornes, R., and R. Hartley (2005): “Asymmetric contests with general technologies,” Economic theory, 26, 923–946.

    Esteban, J., and D. Ray (2001): “Collective action and the group size paradox,” American Political Science Review, 95(3), 663–672.

    Fudenberg, D., and J. Tirole (1991): Game theory. MIT Press.

    Gupta, D. (2023): “Prize sharing rules in collective contests: when do social norms matter?,” Review of Economic Design, 27(1), 221–244.33

    Kobayashi, K., and H. Konishi (2021): “Effort complementarity and sharing rules in group contests,” Social Choice and Welfare, 56(2), 205–221.

    Kolmar, M., and H. Rommeswinkel (2013): “Contests with group-specific public goods and complementarities in efforts,” Journal of Economic Behavior & Organization, 89, 9–22.

    Lee, S. (1995): “Endogenous sharing rules in collective-group rent-seeking,” Public Choice, 85(1-2), 31–44.

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    Nitzan, S., and K. Ueda (2009): “Collective contests for commons and club goods,” Journal of Public Economics, 93(1-2), 48–55.

    -----(2011): “Prize sharing in collective contests,” European Economic Review, 55(5),
    678–687.

    -----(2014): “Intra-group heterogeneity in collective contests,” Social Choice and Welfare, 43, 219–238.

    Olson, M. (1965): “The logic of collective action,” Cambridge, MA (USA) Harvard Univ. Press.

    Ryvkin, D. (2011): “The optimal sorting of players in contests between groups,” Games and Economic Behavior, 73(2), 564–572.

    Trevisan, F. (2020): “Optimal prize allocations in group contests,” Social Choice and Welfare, 55, 431–451.

    Tullock, G. (1980): “Efficient rent seeking,” in Efficient rent-seeking: Chronicle of an intellectual quagmire, pp. 3–16. Springer.

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    Description: 碩士
    國立政治大學
    經濟學系
    112258002
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0112258002
    Data Type: thesis
    Appears in Collections:[經濟學系] 學位論文

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