TY -
GEN
AU - Laraki, Rida
AU - Sorin, Sylvain
TI -
Chapter 2. Advances in Zero-Sum Dynamic Games
SN - 9780444537676
SN - 0444537678
KW - repeated
KW - stochastic and differential games
KW - discrete and continuous time
KW - Shapley operator
KW - incomplete information
KW - imperfect monitoring
KW - asymptotic and uniform value
KW - dual game
KW - weak and strong approachability.
KW - C73.C61
KW - 91A5
KW - 91A23
KW - 91A25
PY - 2015
N2 - The survey presents recent results in the theory of two-person zero-sum repeated games and their connections with differential and continuous-time games. The emphasis is made on the following (1) A general model allows to deal simultaneously with stochastic and informational aspects. (2) All evaluations of the stage payoffs can be covered in the same framework (and not only the usual Cesàro and Abel means). (3) The model in discrete time can be seen and analyzed as a discretization of a continuous time game. Moreover, tools and ideas from repeated games are very fruitful for continuous time games and vice versa. (4) Numerous important conjectures have been answered (some in the negative). (5) New tools and original models have been proposed. As a consequence, the field (discrete versus continuous time, stochastic versus incomplete information models) has a much more unified structure, and research is extremely active.
ER -