“…In particular, retailer advertising always positively impacts the first-period sales (β ∈ (0, 1)), but its second-period effects can be either positive or negative (δ ∈ ( − 1, 1)). This is in line with works which consider that while retailer advertising mainly aims at boosting short-term sales, its long-term effects are still controversial due to the fact that it can either damage the manufacturer's brand image or create stockpiling for certain products, resulting in decreased post-advertising sales (e.g., Jørgensen et al, 2003;Herrington and Dempsey, 2005;Karray et al, 2017Karray et al, , 2021Martín-Herrán and Sigué, 2017a;He et al, 2019;Huang and Bai, 2021). On the other hand, manufacturer advertising is known to contribute to building a lasting brand image that decays over time (e.g., Aust and Buscher, 2014;Huang and Bai, 2021).…”