@article {2310,
	title = {Stochastic Games with Short-Stage Duration},
	journal = {Dyn Games Appl},
	volume = {3},
	year = {2013},
	pages = {236-278},
	abstract = {We introduce asymptotic analysis of stochastic games with short-stage duration. The play of stage k, $k\geq 0$, of a stochastic game $\Gamma_δ$ with stage duration $δ$ is interpreted as the play in time $kδ{\l}eq t\&lt;(k+1)δ$, and therefore the average payoff of the $n$-stage play per unit of time is the sum of the payoffs in the first $n$ stages divided by $nδ$, and the ${\l}ambda$-discounted present value of a payoff $g$ in stage $k$ is ${\l}ambda^kδ g$. We define convergence, strong convergence, and exact convergence of the data of a family $(\Gamma_δ)_δ\&gt;0$ as the stage duration $δ$ goes to $0$, and study the asymptotic behavior of the value, optimal strategies, and equilibrium. The asymptotic analogs of the discounted, limiting-average, and uniform equilibrium payoffs are defined. Convergence implies the existence of an asymptotic discounted equilibrium payoff, strong convergence implies the existence of an asymptotic limiting-average equilibrium payoff, and exact convergence implies the existence of an asymptotic uniform equilibrium payoff.},
	author = {Abraham Neyman}
}
