Research output: Chapter in Book/Report/Conference proceeding › Article in an anthology › Research › peer-review
Nash equilibria refinements for multistage and repeated games. / Petrosjan, Leon A.
Game theory and applications. Vol. 7 Nova Science Publishers, Inc., 2001. p. 121–130.Research output: Chapter in Book/Report/Conference proceeding › Article in an anthology › Research › peer-review
}
TY - CHAP
T1 - Nash equilibria refinements for multistage and repeated games
AU - Petrosjan, Leon A.
PY - 2001
Y1 - 2001
N2 - Multistage game G with simultanous games Γ(·) played on each stage is considered. The definition of outcome, path in tree-graph and history are introduced.The new class of Nash Solutions based on the possibilities of punishment for the deviation on first stages of G are defined. It is shown that the outcomes under these solutions dominate the classical subgame perfect Nash outcomes. For infinite multistage games G the regularization procedure is introduced which enables to construct a strong Nash Equilibrium (coalition-proof) in such class of games.
AB - Multistage game G with simultanous games Γ(·) played on each stage is considered. The definition of outcome, path in tree-graph and history are introduced.The new class of Nash Solutions based on the possibilities of punishment for the deviation on first stages of G are defined. It is shown that the outcomes under these solutions dominate the classical subgame perfect Nash outcomes. For infinite multistage games G the regularization procedure is introduced which enables to construct a strong Nash Equilibrium (coalition-proof) in such class of games.
UR - https://www.researchgate.net/publication/258353069_Nash_equilibria_refinements_for_multistage_and_repeated_games
UR - https://dspace.spbu.ru/handle/11701/1792
M3 - Article in an anthology
VL - 7
SP - 121
EP - 130
BT - Game theory and applications
PB - Nova Science Publishers, Inc.
ER -
ID: 4607627