Dynkin Games with Incomplete and Asymmetric Information

References

• [1] Adams RA, Fournier JJF (2003) Sobolev Spaces, 2nd ed. (Academic Press, Cambridge, MA).Google Scholar
• [2] Aumann R, Maschler M (1995) Repeated Games with Incomplete Information (MIT Press, Cambridge, MA).Google Scholar
• [3] Back K (2004) Incomplete and asymmetric information in asset pricing theory. Stochastic Methods in Finance. Lecture Notes in Mathematics (Fondazione C.I.M.E., Firenze), vol. 1856 (Springer, Berlin, Heidelberg), 1–25.Crossref, Google Scholar
• [4] Bather JA (1962) Bayes procedures for deciding the sign of a normal mean. Proc. Camb. Philos. Soc. 58(4):599–620.Crossref, Google Scholar
• [5] Bensoussan A, Friedman A (1977) Nonzero-sum stochastic differential games with stopping times and free boundary problems. Trans. Amer. Math. Soc. 231(2):275–327.Crossref, Google Scholar
• [6] Cardaliaguet P (2007) Differential games with asymmetric information. SIAM. J. Control Optim. 46(3):816–838.Crossref, Google Scholar
• [7] Cardaliaguet P, Rainer C (2009) Stochastic differential games with asymmetric information. Appl. Math. Optim. 59(1):1–36.Crossref, Google Scholar
• [8] Chernoff H (1961) Sequential tests for the mean of a normal distribution. Proc. 4th Berkeley Sympos. Math. Statist. Probab. 1(4.1):79–91.Google Scholar
• [9] Daley B, Green B (2012) Waiting for news in the market for lemons. Econometrica 80(4):1433–1504.Crossref, Google Scholar
• [10] De Angelis T (2020) Optimal dividends with partial information and stopping of a degenerate reflecting diffusion. Finance Stochastics 24(1):71–123.Crossref, Google Scholar
• [11] De Angelis T, Ferrari G, Moriarty J (2018) Nash equilibria of threshold type for two-player nonzero-sum games of stopping. Ann. Appl. Probab. 28(1):112–147.Crossref, Google Scholar
• [12] De Angelis T, Gensbittel F, Villeneuve S (2021) A Dynkin game on assets with incomplete information on the return. Math. Oper. Res. 46(1):28–60.Link, Google Scholar
• [13] Décamps J-P, Mariotti T, Villeneuve S (2005) Investment timing under incomplete information. Math. Oper. Res. 30(2):472–500.Link, Google Scholar
• [14] Dynkin EB (1969) Game variant of a problem of optimal stopping. Soviet Math. Dokl. 10:16–19.Google Scholar
• [15] Ekström E, Peskir G (2008) Optimal stopping games for Markov processes. SIAM J. Control Optim. 47(2):684–702.Crossref, Google Scholar
• [16] Ekström E, Vaicenavicius J (2016) Optimal liquidation of an asset under drift uncertainty. SIAM J. Financial Math. 7(1):357–381.Crossref, Google Scholar
• [17] Ekström E, Vannestål M (2019) American options and incomplete information. Internat. J. Theoret. Appl. Finance 22(6):1950035.Crossref, Google Scholar
• [18] Ekström E, Glover K, Leniec M (2017) Dynkin games with heterogeneous beliefs. J. Appl. Probab. 54(1):236–251.Crossref, Google Scholar
• [19] Fleming WH, Soner HM (2006) Controlled Markov Processes and Viscosity Solutions, vol. 25 (Springer Science & Business Media, Berlin).Google Scholar
• [20] Gapeev P (2012) Pricing of perpetual American options in a model with partial information. Internat. J. Theoret. Appl. Finance 15(1):1250010.Crossref, Google Scholar
• [21] Gensbittel F (2019) Continuous-time Markov games with asymmetric information. Dynam. Games Appl. 9(3):671–699.Crossref, Google Scholar
• [22] Gensbittel F, Grün C (2019) Zero-sum stopping games with asymmetric information. Math. Oper. Res. 44(1):277–302.Abstract, Google Scholar
• [23] Grün C (2013) On Dynkin games with incomplete information. SIAM. J. Control Optim. 51(5):4039–4065.Crossref, Google Scholar
• [24] Harsanyi J (1967) Games with incomplete information played by “Bayesian” players. I. The basic model. Management Sci. 14(3):159–182.Link, Google Scholar
• [25] Kifer Y (2000) Game options. Finance Stochastics 4(4):443–463.Crossref, Google Scholar
• [26] Lakner P (1995) Utility maximization with partial information. Stochastic Processes Their Appl. 56(2):247–249.Crossref, Google Scholar
• [27] Lakner P (1998) Optimal trading strategy for an investor: The case of partial information. Stochastic Processes Their Appl. 76(1):77–97.Crossref, Google Scholar
• [28] Laraki R, Solan E (2005) The value of zero-sum stopping games in continuous time. SIAM. J. Control Optim. 43(5):1913–1922.Crossref, Google Scholar
• [29] Lempa J, Matomäki P (2013) A Dynkin game with asymmetric information. Stochastics 85(5):763–788.Crossref, Google Scholar
• [30] Lepeltier J-P, Maingueneau MA (1984) Le jeu de Dynkin en théorie générale sans l’hypothèse de Mokobodski. Stochastics 13(1–2):25–44.Crossref, Google Scholar
• [31] Liptser RS, Shiryaev AN (1977) Statistics of Random Processes, 2nd ed. Applications of Mathematics, vol. 6 (Springer-Verlag, New York).Google Scholar
• [32] Lu B (2013) Optimal selling of an asset with jumps under incomplete information. Appl. Math. Finance 20(6):599–610.Crossref, Google Scholar
• [33] Monoyios M (2009) Optimal investment and hedging under partial and inside information. Adv. Financial Model. Radon Ser. Comput. Appl. Math. 8:371–410.Google Scholar
• [34] Revuz D, Yor M (2013) Continuous Martingales and Brownian Motion, vol. 293. (Springer Science & Business Media, Berlin).Google Scholar
• [35] Shiryaev AN (1967) Two problems of sequential analysis. Cybernetics 3(2):63–69.Crossref, Google Scholar
• [36] Shreve SE, Lehoczky JP, Gaver DP (1984) Optimal consumption for general diffusions with absorbing and reflecting barriers. SIAM. J. Control Optim. 22(1):55–75.Crossref, Google Scholar
• [37] Touzi N, Vieille N (2002) Continuous-time Dynkin games with mixed strategies. SIAM. J. Control Optim. 41(4):1073–1088.Crossref, Google Scholar
• [38] Ziegler A (2003) Incomplete Information and Heterogeneous Beliefs in Continuous-Time Finance (Springer-Verlag, New York).Crossref, Google Scholar