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首页> 外文期刊>International game theory review >ON THE SUPERMODULARITY OF HOMOGENEOUS OLIGOPOLY GAMES
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ON THE SUPERMODULARITY OF HOMOGENEOUS OLIGOPOLY GAMES

机译：关于均匀寡聚游戏的超模数

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摘要

The main purpose is to prove the supermodularity (convexity) property of a cooperative game arising from an economical situation. The underlying oligopoly situation is based on a linear inverse demand function as well as linear cost functions for the participating firms. The characteristic function of the so-called oligopoly game is determined by max?imizing, for any cartel of firms, the net profit function over the feasible production levels of the firms in the cartel, taking into account their individual capacities of production and production technologies. The (rather effective) proof of the supermodularity of the characteristic function of the oligopoly game relies on the use of maximizers for the rel?evant maximization problems. A similar proof technique will be reviewed for a related cooperative oligopoly game arising from a slightly modified oligopoly situation where the production technology of the cartel is determined by the most efficient member firm.
机译：主要目的是证明经济情况下合作博弈的超模（凸）性。潜在的寡头垄断情况基于参与公司的线性逆需求函数和线性成本函数。所谓的寡头博弈的特征函数是通过将任何企业卡特尔在考虑卡特尔公司的生产能力和生产技术的能力后，最大化其在卡特尔公司的可行生产水平上的净利润函数来确定的。寡头博弈的特征函数的超模量的（相当有效的）证明依赖于对相关最大化问题的最大化。对于由稍微改变的寡头垄断情形引起的相关合作性寡头垄断博弈，将审查类似的证明技术，在这种情况下，卡特尔的生产技术由效率最高的成员所决定。

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