Comprehending how consumers react to advertising inputs is essential for
marketers aiming to optimize advertising strategies and improve campaign
effectiveness. This study examines the complex nature of consumer behaviour by
applying theoretical frameworks derived from physics and social psychology. We
present an innovative equation that captures the relation between spending on
advertising and consumer response, using concepts such as symmetries, scaling
laws, and phase transitions. By validating our equation against well-known
models such as the Michaelis-Menten and Hill equations, we prove its
effectiveness in accurately representing the complexity of consumer response
dynamics. The analysis emphasizes the importance of key model parameters, such
as marketing effectiveness, response sensitivity, and behavioural sensitivity,
in influencing consumer behaviour. The work explores the practical implications
for advertisers and marketers, as well as discussing the limitations and future
research directions. In summary, this study provides a thorough framework for
comprehending and forecasting consumer reactions to advertising, which has
implications for optimizing advertising strategies and allocating resources.

通过应用源自物理学和社会心理学的理论框架，本研究检验了消费者行为的复杂性，提出了一种创新的方程式，捕捉了广告支出与消费者反应之间的关系，强调了营销效果、反应敏感性和行为敏感性等关键模型参数在影响消费者行为中的重要性，并探讨了广告商和营销人员的实际意义以及限制和未来研究方向。综上所述，本研究为理解和预测消费者对广告的反应提供了一个全面的框架，对于优化广告策略和分配资源具有重要意义。