Kõrvaldamisvariante

Kõrvaldamisvariante refers to a concept in economics and game theory concerning the process of eliminating suboptimal strategies or actions within a game. It is a method used to refine the set of possible outcomes by progressively removing strategies that would never be chosen by rational players. This process helps to predict the behavior of agents in strategic interactions.

The core idea behind kõrvaldamisvariante is that rational players will not play strategies that are dominated by other available strategies. A strategy is considered strictly dominated if there is another strategy that yields a strictly better payoff for the player, regardless of what the other players do. In its simplest form, iterated elimination of strictly dominated strategies involves identifying and removing such strategies from the game.

The process can be repeated, as the elimination of one strategy might render another strategy dominated that was not dominated before. This iterative nature is crucial to the refinement process. However, the order in which strictly dominated strategies are eliminated does not affect the final outcome. The set of strategies that survive iterated elimination of strictly dominated strategies is unique.

Kõrvaldamisvariante is a foundational concept in understanding equilibrium concepts in game theory, such as Nash Equilibrium. While iterated elimination of strictly dominated strategies is a powerful tool, it does not always eliminate all strategies, and there may still be multiple outcomes remaining. More advanced refinement concepts, like iterated elimination of weakly dominated strategies or proper subsets of Nash equilibria, are used to further narrow down the possibilities. Despite its limitations, kõrvaldamisvariante provides a systematic way to simplify complex strategic situations and gain insights into rational play.