Name
Abstract | ||
|---|---|---|
We examine so-called product-games. These are n-player stochastic games played on a product state space S
1 × ... × S
n
, in which player i controls the transitions on S
i
. For the general n-player case, we establish the existence of 0-equilibria. In addition, for the case of two-player zero-sum games of this type,
we show that both players have stationary 0-optimal strategies. In the analysis of product-games, interestingly, a central
role is played by the periodic features of the transition structure. Flesch et al. (Math Oper Res 33, 403–420, 2008) showed
the existence of 0-equilibria under the assumption that, for every player i, the transition structure on S
i
is aperiodic. In this article, we examine product-games with periodic transition structures. Even though a large part of
the approach in Flesch et al. (Math Oper Res 33, 403–420, 2008) remains applicable, we encounter a number of tricky problems
that we have to address. We provide illustrative examples to clarify the essence of the difference between the aperiodic and
periodic cases. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1007/s00182-009-0153-x | Int. J. Game Theory |
Keywords | DocType | Volume |
zero sum game,mathematical economics,publication,state space | Journal | 38 |
Issue | ISSN | Citations |
2 | 1432-1270 | 6 |
PageRank | References | Authors |
0.63 | 12 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| János Flesch | 1 | 108 | 26.87 |
| Gijs Schoenmakers | 2 | 41 | 7.21 |
| Koos Vrieze | 3 | 56 | 7.43 |