| 研究生: |
羅祐辰 Lo, You-Chen |
|---|---|
| 論文名稱: |
團隊競爭下的最適獎酬規則 The Optimal Prize Sharing Rule in Group Contests |
| 指導教授: |
潘振宇
Pan, Chen-Yu 陳鎮洲 Chen, Jenn-Jou |
| 口試委員: |
蔡明宏
Tsay, Min-Hung |
| 學位類別: |
碩士
Master |
| 系所名稱: |
社會科學學院 - 經濟學系 Department of Economics |
| 論文出版年: | 2024 |
| 畢業學年度: | 113 |
| 語文別: | 英文 |
| 論文頁數: | 45 |
| 中文關鍵詞: | 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 |
| 外文關鍵詞: | Group contests, Optimal prize sharing rule, Egalitarian rule, Meritocratic rules, Group size paradox, Group public goods |
| 相關次數: | 點閱:112 下載:51 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
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.
1 Introduction 1
2 Literature Review 6
3 A Benchmark Model 11
3.1 The Intra-Group Contest: Exogenous Prize-Sharing Rule
12
3.2 The Sharing Rule Decision Game: Endogenous Prize-Sharing Rule 16
4 Quasi-linearPrize Value function 23
4.1 Winning Probability-Maximizating Leaders 26
4.2 Welfare-Maximizing Leaders 31
5 Additively Separable Prize Value Function 37
6 Conclusion 41
Reference 43
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.
McGuire, M. (1974): “Group size, group homogeneity, and the aggregate provision of a pure public good under Cournot behavior,” Public Choice, pp. 107–126.
Nitzan, S. (1991): “Collective rent dissipation,” The Economic Journal, 101(409), 1522–1534.
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.
Ueda, K. (2002): “Oligopolization in collective rent-seeking,” Social Choice and Welfare, 19, 613–626.