Nash Equilibria for Dividend Distribution with Competition

Published Online:https://doi.org/10.1287/moor.2023.0374

References

  • [1] Aumann RJ (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.CrossrefGoogle Scholar
  • [2] Avanzi B (2009) Strategies for dividend distribution: A review. North Amer. Actuarial J. 13(2):217–251.CrossrefGoogle Scholar
  • [3] Back K, Paulsen D (2009) Open loop equilibria and perfect competition in option exercise games. Rev. Financial Stud. 22(11):4531–4552.CrossrefGoogle Scholar
  • [4] Bandini E, De Angelis T, Ferrari G, Gozzi F (2022) Optimal dividend payout under stochastic discounting. Math. Finance 32(2):627–677.CrossrefGoogle Scholar
  • [5] Bather J, Chernoff H (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] Beneš VE, Shepp LA, Witsenhausen HS (1980) Some solvable stochastic control problems. Stochastics 4(1):39–83.CrossrefGoogle Scholar
  • [7] Cai C, De Angelis T (2023) A change of variable formula with applications to multi-dimensional optimal stopping problems. Stochastic Processes Appl. 164:33–61.CrossrefGoogle Scholar
  • [8] Dammann F, Rodosthenous N, Villeneuve S (2024) A stochastic non-zero sum game of controlling the debt-to-GDP ratio. Appl. Math. Optim. 90(5).Google Scholar
  • [9] De Angelis T, Ferrari G (2018) Stochastic nonzero-sum games: A new connection between singular control and optimal stopping. Adv. Appl. Probab. 50(2):347–372.CrossrefGoogle Scholar
  • [10] De Finetti B (1957) Su un’impostazione alternativa della teoria colletiva del rischio. Trans. 15th Internat. Congress Actuaries, vol. 2, 433–443.Google Scholar
  • [11] Décamps J-P, Gensbittel F, Mariotti T (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] Ekström E, Lindensjö K (2023) De Finetti’s control problem with competition. Appl. Math. Optim. 87:16.CrossrefGoogle Scholar
  • [13] Federico S, Pham H (2014) Characterization of the optimal boundaries in reversible investment problems. SIAM J. Control Optim. 52(4):2180–2223.CrossrefGoogle Scholar
  • [14] Grenadier SR (2002) Option exercise games: An application to the equilibrium investment strategies of firms. Rev. Financial Stud. 15:691–721.CrossrefGoogle Scholar
  • [15] Hendricks K, Weiss A, Wilson C (1988) The war of attrition in continuous time with complete information. Internat. Econom. Rev. 29(4):663–680.CrossrefGoogle Scholar
  • [16] Jeanblanc-Picqué M, Shiryaev AN (1995) Optimization of the flow of dividends. Russian Math. Surveys 50:257–277.CrossrefGoogle Scholar
  • [17] Karatzas I (1981) The monotone follower problem in stochastic decision theory. Appl. Math. Optim. 7(1):175–189.CrossrefGoogle Scholar
  • [18] Karatzas I, Shreve SE (1988) Brownian Motion and Stochastic Calculus (Springer-Verlag, New York).CrossrefGoogle Scholar
  • [19] Kobayashi B (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] Kwon HD, Palczewski J (2024) Exit game with private information. Math. Oper. Res., ePub ahead of print September 12, https://doi.org/10.1287/moor.2022.0285.LinkGoogle Scholar
  • [21] Kwon HD, Zhang H (2015) Game of singular stochastic control and strategic exit. Math. Oper. Res. 40:869–887.LinkGoogle Scholar
  • [22] Lambrecht B (2001) The impact of debt financing on entry and exit in a duopoly. Rev. Financial Stud. 14(3):765–804.CrossrefGoogle Scholar
  • [23] Merhi A, Zervos M (2007) A model for reversible investment capacity expansion. SIAM J. Control Optim. 46(3):839–876.CrossrefGoogle Scholar
  • [24] Murto P (2004) Exit in duopoly under uncertainty. RAND J. Econom. 35(1):111–127. CrossrefGoogle Scholar
  • [25] Neyman A (2017) Continuous-time stochastic games. Games Econom. Behav. 104:92–130.CrossrefGoogle Scholar
  • [26] Possamaï D, Touzi N, Zhang J (2020) Zero-sum path-dependent stochastic differential games in weak formulation. Ann. Appl. Probab. 30(3):1415–1457.CrossrefGoogle Scholar
  • [27] Radner R, Shepp L (1996) Risk vs. profit potential: A model for corporate strategy. J. Econom. Dynam. Control 20:1373–1393.CrossrefGoogle Scholar
  • [28] Rogers LCG, Williams D (2000) Diffusions, Markov Processes and Martingales, 2nd ed., vol. 2 (Cambridge University Press, Cambridge, UK).Google Scholar
  • [29] Schmidli H (2008) Stochastic Control in Insurance (Springer-Verlag, London).Google Scholar
  • [30] Steg JH (2012) Irreversible investment in oligopoly. Finance Stochastics 16(2):207–224.CrossrefGoogle Scholar
  • [31] Steg J-H (2015) Symmetric equilibria in stochastic timing games. Center for Mathematical Economics Working Paper No. 543, Universität Bielefeld, Bielefeld, Germany.Google Scholar
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