Cooperative advertising and pricing in a manufacturer-retailer supply chain with a general demand function; A game-theoretic approach

•Supply chain coordination via cooperative advertising and pricing is investigated.•A relatively general demand function in a manufacturer-retailer channel is proposed.•The cooperation game is strongly found to be infeasible.•The manufacturer does not contribute in inefficient local advertising.•Manufacturer’s margin is always lower than retailer’s in Stackelberg retailer game.