Normal and Extensive Form GamesThe following sections are included:Normal Form GamesIterated Deletion of Dominated StrategiesExtensive Form GamesThe Reduced Normal FormProblemsdoi:10.1142/9789813239944_0001George J. MailathWorld Scientific Publishing Co. Pte. Ltd.World Scientific Book Chapters...
内容提示: What Game Are We Playing?End-to-end Learning in Normal and Extensive Form GamesChun Kai Ling, Fei Fang, J. Zico KolterSchool of Computer Science, Carnegie Mellon Universitychunkail@cs.cmu.edu, feif@cs.cmu.edu, zkolter@cs.cmu.eduAbstractAlthough recent work in AI has made ...
Normal Form and Extensive Form Games: Normal form games represent the strategies and payoff in the form of a matrix or in a tabular form. The matrix represents the strategies take up by various players and their plausible result. These kinds of games are helping in identifying the dominated st...
Different extensive form games with the same reduced normal form can have different information sets and subgames. This generates a tension between a belief in the strategic relevance of information sets and subgames and a belief in the sufficiency of the reduced normal form. We identify a proper...
process of the games. Definition 2.2: The normal-form representation of an n-player game specifies the players strategies space S1,…, Sn and their payoff functions u1,…, un. We denotes this game by G={S1,…, Sn ; u1,…, un} In Investment of New Product , if the mark...
The strategic game obtained in this way is called the normal representation of the extensive game. In what follows, we extend the scheme (2)–(4) to cover both cases. 3.1 Strategic-form game The difference between bimatrix games and finite strategic games is that more than two players (...
Game theory is the most common approach to studying strategic interactions between agents, but it provides little explanation for game-theoretical solution concepts. In this paper, we use a game-based argumentation framework to solve normal-form games. The result is that solution concepts in game ...
(See the normal-form prisoners’ dilemma written as an extensive form game in Figure 8.17.) For greater ease of analyzing agent-specific strategy profiles, finding equilibria, and investigating other aspects of the interdependent structure of simple 2-person normal-form games, the matrix notation ...
Although recent work in AI has made great progress in solving large, zero-sum, extensive-form games, the underlying assumption in most past work is that the parameters of the game itself are known to the agents. This paper deals with the relatively under-explored but equally important "...
We show that for solvable games, the calculation of the strategies which survive iterative elimination of dominated strategies in normal games is equivalent to the calculation of the backward induction outcome of some extensive game. However, whereas the normal game form does not provide information ...