TY - JOUR

T1 - Evolutionary Stable Strategies in Multistage Games

AU - Петросян, Леон Аганесович

AU - Лю, Сюсю

PY - 2023/5/29

Y1 - 2023/5/29

N2 - Direct ESS has some disadvantages, which are seen even in the case of repeated games when the sequence of stage ESSs may not constitute the direct ESS in the repeated game. We present here the refinement of the ESS definition, which eliminates these disadvantages and represents the base for the definition of ESS in games in extensive form. The effectiveness of this approach for multistage n-person games is shown for metagame (this notion is used for the first time), in which under some relevant conditions, the existence of ESS is proved, and ESSs are constructed using threat strategies.

AB - Direct ESS has some disadvantages, which are seen even in the case of repeated games when the sequence of stage ESSs may not constitute the direct ESS in the repeated game. We present here the refinement of the ESS definition, which eliminates these disadvantages and represents the base for the definition of ESS in games in extensive form. The effectiveness of this approach for multistage n-person games is shown for metagame (this notion is used for the first time), in which under some relevant conditions, the existence of ESS is proved, and ESSs are constructed using threat strategies.

KW - ESS

KW - evolutionary stability

KW - multistage game

KW - strict Nash equilibrium

UR - https://www.mendeley.com/catalogue/795c63a6-eddb-313b-9d4c-d010592bbc97/

U2 - 10.3390/math11112492

DO - 10.3390/math11112492

M3 - Article

VL - 11

JO - Mathematics

JF - Mathematics

SN - 2227-7390

IS - 11

M1 - 2492

ER -