<I>N</I>人ジレンマの提携形ゲーム  [in Japanese] A Coalitional Game of <I>N</I>-person Dilemma  [in Japanese]

Access this Article

Search this Article

Author(s)

Abstract

非協力<I>N</I>人ジレンマゲームは全員が裏切り戦略を選択するという支配戦略解を持つ.本稿では,全員が協力戦略を選択する状態がどのような条件の下で実現するのかという問題を,提携をとおして考える.まず<I>N</I>人ジレンマゲームを提携形ゲームに変換し,全体提携下で全員が協力戦略を選択する条件/一部が選択する条件を示す.次に特性関数をマキシミン値で定義するとコアが存在し,マキシマックス値で定義するとコアが存在しないことを示す.そして提携外のプレイヤーが協力戦略を選択する主観的確率を提携外信頼と定義して,この値によりコアの存在条件を一般化する.その結果,提携外信頼が大きすぎると単独提携への逸脱が生じ,コアが空になることが分かった.

     As it is well known, non-cooperative <I>N</I>-person dilemma game has a unique dominant strategy solution where all players choose defecting strategy. In this paper, we analyze an <I>N</I>-person dilemma game by taking the point of view of coalition and try to find the condition that all players choose cooperating strategy in a grand coalition. First, we show that if we transform <I>N</I>-person dilemma game into a coalitional form, then the core is non empty when a characteristic function is defined by the maximin value. We also show the condition that players do not choose cooperating strategy in a grand coalition. Next we specify the condition of existence of core by generalizing a characteristic function. We define a characteristic function by the subjective probability of choosing cooperative strategy. As a result we find that the core is empty when a characteristic function is defined by the maximax value. In general, if players in a coalition believe that other players, who are not members of the coalition, will choose cooperative strategy with a high probability, then the core will be empty by a deviation of a single coalition.

Journal

  • Sociological Theory and Methods

    Sociological Theory and Methods 24(2), 317-332, 2009

    Japanese Association For Mathematical Sociology

Codes

  • NII Article ID (NAID)
    130000263599
  • NII NACSIS-CAT ID (NCID)
    AN10096921
  • Text Lang
    JPN
  • ISSN
    0913-1442
  • NDL Article ID
    10479175
  • NDL Source Classification
    ZE1(社会・労働--社会科学・社会思想・社会学)
  • NDL Call No.
    Z6-2199
  • Data Source
    NDL  J-STAGE 
Page Top