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Therefore, player 1 and 2 will try to maximize their expected utilities and player 3 will act as an adversary, whose goal is minimizing player 1 and 2’s expected utility. Moreover, player 1 and player 2 have identical goals, while player 3 has the opposite objectives. (A simple coordination game) There are three players and each player has two available actions (which are denoted by left and right). The following simple example shows that, even in toy problems, preplay communication can give a significant advantage to players that decide to implement it. Then, we give a brief overview of problems involving preplay communication, which will be the focus of this summary. In this section, we start by presenting a simple example and reviewing the fundamental model of sequential games with imperfect information.
![sequential gaming sequential gaming](https://i.pinimg.com/originals/b2/8c/e7/b28ce79b0c82d7e2838bf317eb500bfb.jpg)
Among other applications, they are the key building block of the best poker-playing AI agents , and have been applied to physical and cybersecurity problems (see, e.g., ).
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Equilibrium computation techniques have been applied to numerous real-world problems. The computational study of game-theoretic solution concepts is fundamental to describe the optimal behavior of rational agents interacting in a strategic setting, and to predict the most likely outcome of a game.