Optimal Relative Performance Criteria in Mean-Field Contribution Games

Published Online:https://doi.org/10.1287/moor.2022.1337

References

  • [1] Alasseur C, Ben Taher I, Matoussi A (2020) An extended mean field game for storage in smart grids. J. Optim. Theory Appl. 184(2):644–670.CrossrefGoogle Scholar
  • [2] Bayraktar E, Zhang Y (2021) Terminal ranking games. Math. Oper. Res. 46(4):1349–1365.LinkGoogle Scholar
  • [3] Bayraktar E, Cvitanić J, Zhang Y (2019) Large tournament games. Ann. Appl. Probab. 29(6):3695–3744.CrossrefGoogle Scholar
  • [4] Bensoussan A, Huang T, Laurière M (2018) Mean field control and mean field game models with several populations. Minimax Theory Appl. 3(2):173–209.Google Scholar
  • [5] Bracht J, Figuiãres C, Ratto M (2008) Relative performance of two simple incentive mechanisms in a public goods experiment. J. Public Econom. 92(1):54–90.CrossrefGoogle Scholar
  • [6] Cãrdenas JC, Mantilla C (2015) Between-group competition, intra-group cooperation and relative performance. Frontiers Behav. Neuroscience 9:33.CrossrefGoogle Scholar
  • [7] Carmona R, Delarue F (2017) Probabilistic Theory of Mean Field Games with Applications I (Springer, Berlin).Google Scholar
  • [8] Carmona R, Delarue F (2017) Probabilistic Theory of Mean Field Games with Applications II (Springer, Berlin).Google Scholar
  • [9] Corchón L, Puy MS (2002) Existence and Nash implementation of efficient sharing rules for a commonly owned technology. Soc. Choice Welfare 19(2):369–379.Google Scholar
  • [10] Dong L, Falvey R, Luckraz S (2019) Fair share and social efficiency: A mechanism in which peers decide on the payoff division. Games Econom. Behav. 115:209–224.CrossrefGoogle Scholar
  • [11] Elie R, Possamaï D (2019) Contracting theory with competitive interacting agents. SIAM J. Control Optim. 57(2):1157–1188.CrossrefGoogle Scholar
  • [12] Élie R, Mastrolia T, Possamaï D (2019) A tale of a principal and many agents. Math. Oper. Res. 44(2):440–467.LinkGoogle Scholar
  • [13] Fischbacher U, Gächter S (2010) Social preferences, beliefs, and the dynamics of free riding in public goods experiments. Amer. Econom. Rev. 100(1):541–556.CrossrefGoogle Scholar
  • [14] Fujii M (2022) Probabilistic approach to mean field games and mean field type control problems with multiple populations. Minimax Theory Appl. 7(1):1–55.Google Scholar
  • [15] Huang M, Caines PE, Malhamé RP (2007) Large-population cost-coupled LQG problems with nonuniform agents: Individual-mass behavior and decentralized ϵ-Nash equilibria. IEEE Trans. Automatic Control 52(9):1560–1571.CrossrefGoogle Scholar
  • [16] Huang M, Malhamé RP, Caines PE (2006) Large population stochastic dynamic games: Closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle. Comm. Inform. Systems 6(3):221–251.CrossrefGoogle Scholar
  • [17] Kobeissi Z (2022) On classical solutions to the mean field game system of controls. Comm. Partial Differential Equations 47(3):453–488.CrossrefGoogle Scholar
  • [18] Lasry J-M, Lions P-L (2006) Jeux à champ moyen. I. Le cas stationnaire. Comptes Rendus Math. 343(9):619–625.CrossrefGoogle Scholar
  • [19] Lasry J-M, Lions P-L (2006) Jeux à champ moyen. II. Horizon fini et contrôle optimal. Comptes Rendus Math. 343(10):679–684.CrossrefGoogle Scholar
  • [20] Lasry J-M, Lions P-L (2007) Mean field games. Japanese J. Math. 2(1):229–260.CrossrefGoogle Scholar
  • [21] Ledyard JO (1994) Public goods: A survey of experimental research. Public Economics Working Paper No. 9405003, University Library of Munich, Munich, Germany.Google Scholar
  • [22] Mastrolia T (2017) Moral hazard in welfare economics: On the advantage of Planner’s advices to manage employees’ actions. Preprint, submitted June 5, https://arxiv.org/abs/1706.01254.Google Scholar
  • [23] Meyers R (2009) Encyclopedia of Complexity and Systems Science (Springer, Berlin).CrossrefGoogle Scholar
  • [24] Nutz M, Zhang Y (2019) A mean field competition. Math. Oper. Res. 44(4):1245–1263.LinkGoogle Scholar
  • [25] Nutz M, Zhang Y (2022) Reward design in risk-taking contests. SIAM J. Financial Math. 13(1):129–146.CrossrefGoogle Scholar
  • [26] Sun Y (2006) The exact law of large numbers via Fubini extension and characterization of insurable risks. J. Econom. Theory 126(1):31–69.CrossrefGoogle Scholar
  • [27] Wagner DH (1980) Survey of measurable selection theorems: An update. Kölzow D, ed. Measure Theory Oberwolfach 1979, Lecture Notes in Mathematics, vol. 794 (Springer, Berlin), 176–219.CrossrefGoogle Scholar
  • [28] Yu X, Zhang Y, Zhou Z (2021) Teamwise mean field competitions. Appl. Math. Optim. 84(suppl. 1):S903–S942.CrossrefGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.