In an auction, both the good’s seller and the potential buyer desire to maximize their profit. The seller aims to obtain the highest possible value for the good, whereas the buyers want to win the auction paying the less they can for the object. In this scenario, this study suggests an algorithm based on the Fictitious Play, which seeks to simulate the agents’ behavior for the different kinds of auctions. In this simulation, we are also going to embed the risk aversion and try to forecast rational behavior of the agents. The main goal of the work is to make a parallel between the strategy functions, which maximize the agents’ utilities cataloged on books and texts, and the optimal strategies, which are obtained in the simulation through the usage of the proposed algorithm.