Name
Abstract | ||
|---|---|---|
We consider repeated games where the number of repetitions θ is unknown. The information about the uncertain duration can change during the play of the game. This is described by an
uncertain duration process Θ that defines the probability law of the signals that players receive at each stage about the
duration. To each repeated game Γ and uncertain duration process Θ is associated the Θ-repeated game ΓΘ. A public uncertain duration process is one where the uncertainty about the duration is the same for all players. We establish
a recursive formula for the value V
Θ of a repeated two-person zero-sum game ΓΘ with a public uncertain duration process Θ. We study asymptotic properties of the normalized value v
Θ = V
Θ/E(θ) as the expected duration E (θ) goes to infinity. We extend and unify several asymptotic results on the existence of lim v
n
and lim v
λ and their equality to lim v
Θ. This analysis applies in particular to stochastic games and repeated games of incomplete information. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/s00182-009-0197-y | Int. J. Game Theory |
Keywords | Field | DocType |
repeated games · uncertain duration · recursive formula · asymptotic analysis · stochastic games · incomplete information,repeated games,incomplete information,repeated game,zero sum game,asymptotic analysis | Welfare economics,Mathematical economics,Infinity,Repeated game,Asymptotic analysis,Mathematics,Recursion,Complete information | Journal |
Volume | Issue | ISSN |
39 | 1 | 1432-1270 |
Citations | PageRank | References |
6 | 0.93 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Abraham Neyman | 1 | 225 | 43.91 |
| Sylvain Sorin | 2 | 300 | 49.48 |