Nash Equilibria for Dividend Distribution with Competition
Published Online:23 Sep 2025https://doi.org/10.1287/moor.2023.0374
References
- [1] (1964) Mixed and behavior strategies in infinite extensive games. Dresher M, Shapley LS, Tucker AW, eds. Advances in Game Theory, Annals of Mathematics Study, vol. 52 (Princeton University Press, Princeton, NJ), 627–650.Crossref, Google Scholar
- [2] (2009) Strategies for dividend distribution: A review. North Amer. Actuarial J. 13(2):217–251.Crossref, Google Scholar
- [3] (2009) Open loop equilibria and perfect competition in option exercise games. Rev. Financial Stud. 22(11):4531–4552.Crossref, Google Scholar
- [4] (2022) Optimal dividend payout under stochastic discounting. Math. Finance 32(2):627–677.Crossref, Google Scholar
- [5] (1967) Sequential decisions in the control of a spaceship. Proc. Fifth Berkeley Sympos. Math. Statist. Probab., vol. 3 (University of California Press, Berkeley), 181–207.Google Scholar
- [6] (1980) Some solvable stochastic control problems. Stochastics 4(1):39–83.Crossref, Google Scholar
- [7] (2023) A change of variable formula with applications to multi-dimensional optimal stopping problems. Stochastic Processes Appl. 164:33–61.Crossref, Google Scholar
- [8] (2024) A stochastic non-zero sum game of controlling the debt-to-GDP ratio. Appl. Math. Optim. 90(5).Google Scholar
- [9] (2018) Stochastic nonzero-sum games: A new connection between singular control and optimal stopping. Adv. Appl. Probab. 50(2):347–372.Crossref, Google Scholar
- [10] (1957) Su un’impostazione alternativa della teoria colletiva del rischio. Trans. 15th Internat. Congress Actuaries, vol. 2, 433–443.Google Scholar
- [11] (2022) The war of attrition under uncertainty: Theory and robust testable implications. TSE Working Paper 22-1374, Toulouse School of Economics, Toulouse, France.Google Scholar
- [12] (2023) De Finetti’s control problem with competition. Appl. Math. Optim. 87:16.Crossref, Google Scholar
- [13] (2014) Characterization of the optimal boundaries in reversible investment problems. SIAM J. Control Optim. 52(4):2180–2223.Crossref, Google Scholar
- [14] (2002) Option exercise games: An application to the equilibrium investment strategies of firms. Rev. Financial Stud. 15:691–721.Crossref, Google Scholar
- [15] (1988) The war of attrition in continuous time with complete information. Internat. Econom. Rev. 29(4):663–680.Crossref, Google Scholar
- [16] (1995) Optimization of the flow of dividends. Russian Math. Surveys 50:257–277.Crossref, Google Scholar
- [17] (1981) The monotone follower problem in stochastic decision theory. Appl. Math. Optim. 7(1):175–189.Crossref, Google Scholar
- [18] (1988) Brownian Motion and Stochastic Calculus (Springer-Verlag, New York).Crossref, Google Scholar
- [19] (2010) The law and economics of predatory pricing. Hylton KN, ed. Antitrust Law and Economics, George Mason Law & Economics Research Paper No. 08-41 (Edward Elgar Publishing, Cheltenham, UK).Google Scholar
- [20] (2024) Exit game with private information. Math. Oper. Res., ePub ahead of print September 12, https://doi.org/10.1287/moor.2022.0285.Link, Google Scholar
- [21] (2015) Game of singular stochastic control and strategic exit. Math. Oper. Res. 40:869–887.Link, Google Scholar
- [22] (2001) The impact of debt financing on entry and exit in a duopoly. Rev. Financial Stud. 14(3):765–804.Crossref, Google Scholar
- [23] (2007) A model for reversible investment capacity expansion. SIAM J. Control Optim. 46(3):839–876.Crossref, Google Scholar
- [24] (2004) Exit in duopoly under uncertainty. RAND J. Econom. 35(1):111–127. Crossref, Google Scholar
- [25] (2017) Continuous-time stochastic games. Games Econom. Behav. 104:92–130.Crossref, Google Scholar
- [26] (2020) Zero-sum path-dependent stochastic differential games in weak formulation. Ann. Appl. Probab. 30(3):1415–1457.Crossref, Google Scholar
- [27] (1996) Risk vs. profit potential: A model for corporate strategy. J. Econom. Dynam. Control 20:1373–1393.Crossref, Google Scholar
- [28] (2000) Diffusions, Markov Processes and Martingales, 2nd ed., vol. 2 (Cambridge University Press, Cambridge, UK).Google Scholar
- [29] (2008) Stochastic Control in Insurance (Springer-Verlag, London).Google Scholar
- [30] (2012) Irreversible investment in oligopoly. Finance Stochastics 16(2):207–224.Crossref, Google Scholar
- [31] (2015) Symmetric equilibria in stochastic timing games. Center for Mathematical Economics Working Paper No. 543, Universität Bielefeld, Bielefeld, Germany.Google Scholar

