On the value of optimal stopping games
By Erik Ekström, Stéphane Villeneuve. 2006
66 citations recorded by the source corpus.
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.
Subfields: Economics and Econometrics, Finance, Management Science and Operations Research
View Paper: https://www.semanticscholar.org/paper/1b93e8f59e218c8006b364a4bc553b8c41beedbc
Citations in the corpus
- Optimal Stopping Games and Nash Equilibrium (2009, unknown): “…ρn we find that Mx(τ, σ) = Ex ([ G1(Xτ ) I(τ σ) + G2(Xσ) I(σ τ) + G3(Xτ ) I(τ =σ) ] I(τ ρn) ) (2.31) + Ex ([ G1(Xτ∨ρn) I(τ∨ρn σ) + G2(Xσ) I(σ τ∨ρn) + G3(Xσ) I(σ=τ∨ρn) ] I(τ≥ρn) ) = Ex [ G1(Xτ ) I(τ ρn) ] + Ex ( G1(Xτ∨ρn) I(τ∨ρn σ) + G2(Xσ) I(σ τ∨ρn) + G3(Xσ) I(σ=τ∨ρn) ) − Ex ([ G1(Xτ∨ρn)…”