In this paper, we have studied the impact of customer confusion on the decision-making strategies of Internet service providers (ISP) in the network and telecommunications market. This confusion may come from several factors, e.g. incomplete information on the offer, non-transparent advertising, the ability of the analysis, etc.; but that sure varies over time since yesterday’s customer is no longer today’s.In this work, we have developed a simple oligopolistic model, using non-cooperative game theory, to formalize the interactions between service providers and end-users by considering that the rationality of customers varies over time. We assessed the impact of the dynamics of consumer confusion on the competition and profitability of service providers who are considered rational and competitive with one another to maximize their respective gains in the face of a confused fraction of consumers while others are not confused. We have shown the existence and uniqueness of the Nash equilibrium. We used the best response dynamic algorithm for learning Nash equilibrium. On the one hand, we have shown that when the number of confused customers is large, the ISP is interested in that and they offer moderately high prices with low quality of service. On the other hand, over time, rationality increases, forcing the ISPs to change their strategies by offering better services so that their demand increases. We also add that when customer behavior changes quickly, the ISPs follow clearer strategies with customer satisfactory services.

中文翻译：

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电信网络中的客户混乱环境：分析和政策影响

在本文中，我们研究了客户混淆对网络和电信市场中互联网服务提供商 (ISP) 决策策略的影响。这种混淆可能来自几个因素，例如报价信息不完整、广告不透明、分析能力等；但这肯定会随着时间的推移而变化，因为昨天的客户不再是今天的客户。在这项工作中，我们开发了一个简单的寡头垄断模型，使用非合作博弈论，通过考虑客户随时间而变化。我们评估了消费者混淆动态对服务提供商的竞争和盈利能力的影响，这些服务提供商被认为是理性的和相互竞争的，以在面对一小部分消费者而其他人没有混淆时最大化各自的收益。我们已经证明了纳什均衡的存在性和唯一性。我们使用最佳响应动态算法来学习纳什均衡。一方面，我们已经表明，当困惑的客户数量很大时，ISP 对此很感兴趣，他们会提供适中的高价格和低质量的服务。另一方面，随着时间的推移，合理性增加，迫使 ISP 通过提供更好的服务来改变他们的策略，从而增加他们的需求。我们还补充说，当客户行为快速变化时，