Static game vs dynamic game
Static games and dynamic games are different types of games in game theory.
In a static game, the players make their decisions simultaneously, without knowledge of the other players' decisions. The outcome of the game depends only on the combination of strategies chosen by all the players. Examples of static games include the prisoner's dilemma, battle of the sexes, and matching pennies.
In contrast, in a dynamic game, the players make their decisions sequentially, taking into account the decisions made by other players. Players can observe the actions of other players and adjust their strategies accordingly. Examples of dynamic games include the centipede game and the game of chicken.
The choice of whether to model a situation as a static game or a dynamic game depends on the nature of the situation being studied. In some cases, it may be more appropriate to model a situation as a static game, where players make their decisions simultaneously, and the outcome of the game depends only on the combination of strategies chosen by all the players. In other cases, a dynamic game may be more appropriate, where players make decisions sequentially and can observe the actions of other players.
Understanding the differences between static and dynamic games is important for modeling and analyzing strategic interactions in various real-world situations. It allows researchers and decision-makers to better understand the behavior of different actors in complex situations and to make better predictions about the outcomes of various scenarios.
Static games game theory
In game theory, a "static game" refers to a game in which the players make their decisions simultaneously, or at least without knowledge of the other players' decisions. This is in contrast to a "dynamic game" where players make decisions sequentially, taking into account the decisions made by other players.
In a static game, each player must choose a strategy without knowing what the other players will do, and the outcome of the game depends only on the combination of strategies chosen by all the players. Examples of static games include the classic "prisoner's dilemma" and "battle of the sexes" games, among others.
Static games are an important concept in game theory, and many real-world situations can be modeled as static games. Understanding how to analyze and solve these games can provide insights into strategic decision-making and help predict how different actors might behave in various situations.