Mathematics – Probability
Scientific paper
2006-10-10
Annals of Applied Probability 2006, Vol. 16, No. 3, 1576-1596
Mathematics
Probability
Published at http://dx.doi.org/10.1214/105051606000000204 in the Annals of Applied Probability (http://www.imstat.org/aap/) by
Scientific paper
10.1214/105051606000000204
We show, under weaker assumptions than in the previous literature, that a perpetual optimal stopping game always has a value. We also show that there exists an optimal stopping time for the seller, but not necessarily for the buyer. Moreover, conditions are provided under which the existence of an optimal stopping time for the buyer is guaranteed. The results are illustrated explicitly in two examples.
Ekstrom Erik
Villeneuve Stéphane
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