Relationship between dilemma occurrence and the existence of a weakly dominant strategy in a two-player symmetric game
Relationship between dilemma occurrence and the existence of a weakly dominant strategy in a two-player symmetric game
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DOI：
10.1016/j.biosystems.2006.07.005
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发表时间：
2007-07-01
期刊：
影响因子：
1.6
通讯作者：
Sagara, Hiroki
中科院分区：
文献类型：
--
作者：
Tanimoto, Jun;Sagara, Hiroki
通过对两难博弈的定义，提出了一个博弈在其策略分配中不能维持合作策略的增加，并推导出了两难博弈的实质可以独立地由静态因素和动态因素的生产性总和来表示。静态因素是影响可能的困境的游戏结构的元素，这涉及到游戏的结构偏离合作策略可以弱优势于其他策略的情况。动态因素则是指策略分配通过影响博弈动态而对困境产生的影响。在一个2 × 2的博弈中，两难的存在只能由一个静态因素决定。也就是说，是否出现两难困境只与博弈的结构效应有关。另一方面，在一个多策略博弈中，静态因素和动态因素都决定了困境的发生，静态因素不能单独解释困境的发生。(c)2006爱思唯尔爱尔兰有限公司保留所有权利。
Defining the dilemma game by the proposition, A game cannot sustain an increase (of cooperation strategy in its strategy distribution, we deduced that the substance of a dilemma can be expressed by a productive summation of the staticfactor and the dynamic factor independently. A static factor is an element of the game's structure that influences a possible dilemma, which relates to a game's structural deviation from a situation where the cooperation strategy can be weakly dominant over other strategies. In contrast, a dynamic factor refers to a strategy distribution's influence on the dilemma by affecting the game dynarnics. In a 2 x 2 game, the existence of a dilemma can be determined only by a static factor. That is, whether or not a dilemma occurs is related only to the structural effect of the game. On the other hand, in a more-than-two-strategies game, both static and dynamic factors determine the occurrence of a dilemma, and the static factor cannot solely explain the occurrence of a dilemma. (c) 2006 Elsevier Ireland Ltd. All rights reserved.