Cooperative dynamic advertising via state-dependent payoff weights

IF 1.1 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Simon Hoof
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引用次数: 0

Abstract

We consider an infinite horizon cooperative advertising differential game with nontransferable utility (NTU). The values of each firm are parametrized by a common discount rate and advertising costs. First we characterize the set of efficient solutions with a constant payoff weight. We show that there does not exist a constant weight that supports an agreeable cooperative solution. Then we consider a linear state-dependent payoff weight and derive an agreeable cooperative solution for a restricted parameter space.
基于状态相关收益权重的合作动态广告
我们考虑一个具有不可转移效用的无限时域合作广告差分博弈(NTU)。每家公司的价值都是通过共同的折扣率和广告成本来参数化的。首先,我们刻画了一组具有恒定收益权的有效解。我们表明,不存在支持一个令人愉快的合作解决方案的恒定权重。然后,我们考虑一个线性状态相关的报酬权,并导出一个受限制参数空间的合意合作解。
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来源期刊
Journal of Dynamics and Games
Journal of Dynamics and Games MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
CiteScore
2.00
自引率
0.00%
发文量
26
期刊介绍: The Journal of Dynamics and Games (JDG) is a pure and applied mathematical journal that publishes high quality peer-review and expository papers in all research areas of expertise of its editors. The main focus of JDG is in the interface of Dynamical Systems and Game Theory.
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