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Three notions of random stopping times exist in the literature.
Laraki R. and Solan E. (2005) The Value of Zero-sum Stopping Games in Continuous Time. SIAM Journal on Control and Optimization , 43
1922
Earlier work this paper cites.
Kuhn H.W. (1957) Extensive Games and the Problem of Information. In Kuhn H. and Tucker A.W., Contributions to the Theorem of Games, Volume 3, Annals of Mathematical Studies, 28
1957
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Aumann R.J. (1964) Mixed and Behavior Strategies in Infinite Extensive Games, In Advances in Game Theory, Annals of Mathematics Study 52, edited by M. Dresher, L.S. Shapley, and A.W. Tucker, Princeton University Press, 627–650
1964
Earlier work this paper cites.
Dynkin E.B. (1969) Game Variant of a Problem on Optimal Stopping, Soviet Math. Dokl. , 10
1969
Earlier work this paper cites.
Kifer Y.I. (1971) Optimal Stopped Games, T. Prob. Appl. , 16
1971
Earlier work this paper cites.
Neveu (1975) Discrete-Parameter Martingales, North-Holland, Amsterdam
1975
Earlier work this paper cites.
Bismuth J.M. (1977) Sur un problème de Dynkin, Z. Warsch. V. Geb
1977
Earlier work this paper cites.
Alario-Nazaret, M., J.P. Lepeltier and B. Marchal (1982) Dynkin Games, Stochastic Differential Systems (Bad Honnef)
1982
Earlier work this paper cites.
Lepeltier, J.P. and M.A. Maingueneau (1984) Le jeu de Dynkin en théorie générale sans l’hypothèse de Mokobodski, Stochastics
1984
Cited alongside, same era.
Yasuda M. (1985) On a Randomized Strategy in Neveu’s Stopping Problem. Stochastic Processes and their Applications , 21
1985
Cited alongside, same era.
McConnell J.J. and Schwartz E.S. (1986) LYON taming. Journal of Finance , 41
1986
Cited alongside, same era.
Cvitanic J. and Karatzas I. (1998) Backward Stochastic Differential Equations with Constraints on the Gains-process, Annals of Probability , 26
1998
Cited alongside, same era.
Hamadène S. and Lepeltier J.-P. (2000) Reflected BSDEs and mixed game problems, Stochastic Problems and their Applications , 85
2000
Cited alongside, same era.
Rosenberg D., Solan E., and Vieille N. (2001) Stopping Games with Randomized Strategies. Probability Theory and Related Fields , 119
2001
Later among the works it cites.
Touzi N. and Vieille N. (2002) Continuous-Time Dynkin Games with Mixed Strategies. SIAM Journal on Control and Optimization , 41
2002
Later among the works it cites.
Kyprianou A.E. (2004) Some Calculations for Israeli Options. Finance and Stochastics , 8
2004
Later among the works it cites.
Shmaya E. and Solan E. (2004) Two Player NonZero-Sum Stopping Games in Discrete Time. The Annals of Probability , 32
2004
Later among the works it cites.
Hamadène S. and Zhang J.(2010) The Continuous Time Nonzero-Sum Dynkin Game Problem and Application in Game Options, SIAM Journal on Control and Optimization , 48
2010
Later among the works it cites.
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Kifer Y. (2000) Game Options. Finance and Stochastics , 4
2000
Cited alongside, same era.
Chalasani P. and Jha S. (2001) Randomized Stopping Times and American Option Pricing with Transaction Costs, Mathematical Finance , 11
2001
Cited alongside, same era.
Heller Y. (2012) Sequential Correlated Equilibrium in Stopping Games. Operations Research , 60
2012
Closest in time.
Maschler M., Solan E., and Zamir S. (2013) Game Theory . Cambridge University Press, forthcoming
2013
Closest in time.