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・ Bandwidth allocation protocol
・ Bandwidth Broker
・ Bandwidth cap
・ Bandwidth compression
・ Bandwidth equalization
・ Bandwidth expansion
・ Bandwidth extension
・ Bandwidth guaranteed polling
・ Bandwidth management
・ Bandwidth pooling
・ Bandwidth smearing
・ Bandwidth Street Press
・ Bandwidth throttling
・ Bandwidth-delay product
・ Bandwidth-limited pulse
Bandwidth-sharing game
・ Bandwidth.com
・ Bandwin
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・ Bandy (carriage)
・ Bandy (disambiguation)
・ Bandy (surname)
・ Bandy at the 1952 Winter Olympics
・ Bandy at the 2011 Asian Winter Games
・ Bandy at the Asian Winter Games
・ Bandy at the Winter Universiade
・ Bandy ball
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Bandwidth-sharing game : ウィキペディア英語版
Bandwidth-sharing game


A bandwidth-sharing game is a type of resource allocation game designed to model the real-world allocation of bandwidth to many users in a network. The game is popular in game theory because the conclusions can be applied to real-life networks. The game is described as follows:
== The game ==

* n players
* each player i has utility U_i(x) for amount x of bandwidth
* user i pays w_i for amount x of bandwidth and receives net utility of U_i(x)-w_i
* the total amount of bandwidth available is B
We also use assumptions regarding U_i(x)
* U_i(x)\ge0
* U_i(x) is increasing and concave
* U(x) is continuous
The game arises from trying to find a price p so that every player individually optimizes their own welfare. This implies every player must individually find argmax_xU_i(x)-px. Solving for the maximum yields U_i^'(x)=p.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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