Nash equilibrium

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  • Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Generalizations of the Nash Equilibrium Theorem in the KKM Theory

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  • In this course on game theory, we will be studying a range of mathematical models of con°ict and cooperation between two or more agents. The course will attempt an overview of a broad range of models that are studied in game theory, and that have found application in, for example, economics and evolutionary biology. In this Introduction, we outline the content of this course, often giving examples.

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  • In a symmetric Nash Equilibrium the prices of both goods are randomized in an atomless fashion for the most part of the parameter space apart from the case when the two goods are strongly substitutable in which case the less valuable good is not sold at all. Only when the goods are either independently valued or are substitutes is it feasible that the two prices are randomized independently. When the goods are complements and one of the goods is priced high the other can not be priced in the upper part of its support implying local negative correlation between the two prices.

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  • In social networks, since nodes generally belong to di®erent authorities and pursue di®erent goals, they will not cooperate with others unless cooperation can improve their own performance. Thus, how to stimulate cooperation among nodes in social networks is very important. However, most of existing game-theoretic cooper- ation stimulation approaches rely on the assumption that the interactions between any pair of players are long-lasting.

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  • While peer-to-peer (P2P) video streaming systems have achieved promising results, they introduce a large number of unnecessary traverse links, which con- sequently leads to substantial network ine±ciency. To address this problem and achieve better streaming performance, we propose to enable cooperation among group peers, which are geographically neighboring peers with large intra-group up- load and download bandwidths.

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  • In this chapter we discuss the types of imperfect competition and examine a particular type called oligopoly. Our goal in this chapter is to see how this interdependence shapes the firms’ behavior and what problems it raises for public policy.

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