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Evolutionary dynamics of a duopoly game with strategic delegation and isoelastic demand

机译:具有战略授权和等弹性需求的双头垄断博弈的演化动力学

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We analyze a model of strategic delegation in Cournot competition with isoelastic demand. We first consider the static game and then we address an evolutionary version of it. We show that the result for which under quantity competition strategic delegation entails output expansion and higher consumers' welfare than at the standard Cournot-Nash equilibrium is not necessarily true, but depends on the price elasticity of demand. Then, we study the main welfare implications of the model in order to understand whether the prevailing long-run industry configuration provides the highest welfare. We show that this may occur when both firms provide a mixed incentive and that, in this case, the model admits feasible trajectories the long-run configuration of which yields the highest welfare. Finally, we address the robustness of our results by means of an evolutionary model with heterogeneous players.
机译:我们分析了具有等弹性需求的古诺竞争中的战略授权模型。我们首先考虑静态游戏,然后讨论其演化版本。我们表明,在数量竞争下,战略委托带来的产出扩张和更高的消费者福利要比标准的古诺—纳什均衡所带来的结果不一定是正确的,而是取决于需求的价格弹性。然后,我们研究该模型的主要福利含义,以了解当前的长期行业配置是否提供最高的福利。我们表明,当两家公司都提供混合激励措施时可能会发生这种情况,并且在这种情况下,该模型接受了可行的轨迹,其长期配置会产生最高的福利。最后,我们通过具有异构参与者的进化模型来解决结果的鲁棒性问题。

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