论文标题
基于最低获胜联盟的词素排名
Lexicographic Ranking based on Minimal Winning Coalitions
论文作者
论文摘要
在本文中，我们考虑了一些众所周知的解决方案提供的简单游戏，尤其是公共商品指数[14]和基于批判性的排名[1]，我们考虑了可取性关系的一致性与玩家的排名。我们定义了一种新的排名解决方案，即基于最小的获胜联盟（LRM）的词典排名，这与公共商品指数扎根于简单游戏的最低胜利联盟中，证明了它与可取性关系相对于可取性关系而言是单调的[17] [17]。提供了LRM溶液的合适表征。最后，我们研究了LRM解决方案和基于批判性的排名之间的关系，指的是双重游戏。
In this paper, we consider the consistency of the desirability relation with the ranking of the players in a simple game provided by some well-known solutions, in particular the Public Good Index [14] and the criticality-based ranking [1]. We define a new ranking solution, the Lexicographic Ranking based on Minimal winning coalitions (LRM), strongly related to the Public Good Index being rooted in the minimal winning coalitions of the simple game, proving that it is monotonic with respect to the desirability relation [17], when it holds. A suitable characterization of the LRM solution is provided. Finally, we investigate the relation among the LRM solution and the criticality-based ranking, referring to the dual game.
