Um método Kernel para estimativa de densidade e sua aplicação em jogos de repetição

Abstract

Repeated games is a branch of game theory, where a game can be played several times by the players involved. In this setting, it is assumed that the players do not always play the optimal strategy or that they may be willing to collaborate. In this context it is possible for a player to analyze the opponent’s behaviour to find patters. These patterns can be used to maximize the player’s profit or to detect if the opponent is willing to collaborate. On this dissertation it is proposed a new algorithm based on similarity kernel capable of predicting the opponent’s actions on repeated games. The prediction is not limited to the next round’s action, being able to predict actions on a finite sequence of rounds. It is able to adapt rapidly if the opponents change their strategies during the course of a game. It is shown empirically that the proposed algorithm achieves better results than the current state of the art.