On the number of blocks required to access the coalition structure core

On the number of blocks required to access the coalition structure core
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关于访问联盟结构核心所需的区块数量

DOI:
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发表时间:
2011
期刊:
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通讯作者:
P. Solal
P. Solal
中科院分区:
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文献类型:
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作者:
S. Béal;É. Rémila;P. Solal

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本文证明了,对于任何具有非空联盟结构核心的联盟形式的可转移效用博弈,从联盟结构核心外的支付配置切换到联盟结构核心内的支付配置所需的步骤少于或等于(n*n+4n)/4,其中n为玩家集合的基数。这个数字大大改进了Koczy和Lauwers(2004)到目前为止发现的上限。
This article shows that, for any transferable utility game in coalitional form with nonempty coalition structure core, the number of steps required to switch from a payoff configuration out of the coalition structure core to a payoff configuration in the coalition structure core is less than or equal to (n*n+4n)/4, where n is the cardinality of the player set. This number considerably improves the upper bound found so far by Koczy and Lauwers (2004).