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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Strategic Network Formation ： ウィキペディア英語版 Strategic Network Formation Strategic Network Formation defines how and why networks take particular forms. In many networks, the relation between nodes is determined by the choice of the participating players involved, not by an arbitrary rule. A “strategic” modeling of network requires defining a network’s costs and benefits and predicts how individual preferences become outcomes. == Introduction == A strategic network formation requires that individuals create relations that are beneficial and drop those that are not. One of the most well-known examples in this context is the marriage network of sixteen families in Florence, which showed how the Medici family gained power and took control of Florence by creating a high number of inter-marriages with the other families. “Thus, decisions about profitable relations are not a situation of choice, but a situation of strategic interaction – an aspect that is best covered by Game Theory”. In these kinds of settings, the nodes are usually called players, where $N\; =$ is a set of players that have formed links in a network. Social Networks have diverse settings, however the simplest ones can be described by an undirected graph whereas more complicated situations are represented by directed graphs. There are fundamental differences in the way these games are modeled depending on their graph structure. If a link exists between player $i$ and player $j$ it is noted as $ij$. In cases of undirected networks, $ij$ is considered equal to $ji$. A network $g$ represents a list of all the links between players. In a more formal setting, a network $g$ is defined as a set of unordered pairs , with $i,j$ element of $\backslash mathbb$.〔The set of all possible graphs on the set of players $N$ is denoted with $G$. The benefits that they receive from the network are represented by utility functions. That is, the payoff to a player i is represented by a function $u\_i$ : $G(N)$ $\backslash rightarrow$ $\backslash mathbb$, where $u\_i$ ($g$) represents the net benefit that i receives if network $g$ is in place.〔 To model strategic network formation the notion of network games is used. A network game is a set of linked players and their utility functions. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Strategic Network Formation」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.