Terminal Ranking Games
Published Online:24 Feb 2021https://doi.org/10.1287/moor.2020.1107
References
- [1] (2016) A rank-based mean field game in the strong formulation. Electronic Comm. Probab. 21:Article 72.Google Scholar
- [2] (2019) Large tournament games. Ann. Appl. Probab. 29(6):3695–3744.Google Scholar
- [3] (2019) On the (in)efficiency of MFG equilibria. SIAM J. Control Optim. 57(4):2292–2314.Google Scholar
- [4] (2018) Probabilistic Theory of Mean Field Games with Applications I–II (Springer, Cham, Switzerland).Crossref, Google Scholar
- [5] (2015) A probabilistic weak formulation of mean field games and applications. Ann. Appl. Probab. 25(3):1189–1231.Google Scholar
- [6] (2019) Price of anarchy for mean field games. ESAIM: ProcS 65:349–383.Crossref, Google Scholar
- [7] (2016) On the relation between optimal transport and Schrödinger bridges: A stochastic control viewpoint. J. Optim. Theory Appl. 169(2):671–691.Google Scholar
- [8] (2020) Turning up the heat: The discouraging effect of competition in contests. J. Political Econom. 128(5):1940–1975.Google Scholar
- [9] (1988) Random fields and diffusion processes. Hennequin PL, ed. École d’Été de Probabilités de Saint-Flour XV–XVII, 1985–87 (Springer, Berlin, Heidelberg), 101–203.Crossref, Google Scholar
- [10] (2011) Mean field games and applications. Paris-Princeton Lectures on Mathematical Finance 2010, Lecture Notes in Mathematics, vol. 2003 (Springer, Berlin), 205–266.Crossref, Google Scholar
- [11] (2007) Large-population cost-coupled LQG problems with nonuniform agents: Individual-mass behavior and decentralized ɛ-Nash equilibria. IEEE Trans. Automatic Control 52(9):1560–1571.Google Scholar
- [12] (2006) Large population stochastic dynamic games: Closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle. Comm. Inform. Systems 6(3):221–251.Google Scholar
- [13] (2019) Rare Nash equilibria and the price of anarchy in large static games. Math. Oper. Res. 44(2):400–422.Google Scholar
- [14] (2006) Jeux à champ moyen. I. Le cas stationnaire. Comptes Rendus Mathematique 343(9):619–625.Google Scholar
- [15] (2006) Jeux à champ moyen. II. Horizon fini et contrôle optimal. Comptes Rendus Mathematique 343(10):679–684.Google Scholar
- [16] (2007) Mean field games. Japanese J. Math. 2(1):229–260.Crossref, Google Scholar
- [17] (1981) Rank-order tournaments as optimum labor contracts. J. Political Econom. 89(5):841–864.Crossref, Google Scholar
- [18] (2014) A survey of the Schrödinger problem and some of its connections with optimal transport. Discrete Continuous Dynamical Systems 34(4):1533–1574.Google Scholar
- [19] (1969) Optimization by Vector Space Methods (John Wiley & Sons, Inc., New York, London, Sydney).Google Scholar
- [20] (2011) Inequalities: Theory of Majorization and Its Applications, 2nd ed., Springer Series in Statistics (Springer, New York).Crossref, Google Scholar
- [21] (2019) A mean field competition. Math. Oper. Res. 44(4):1245–1263.Google Scholar

