“…The nonlinear cointegration relationship between prices that are in the form of discontinuous or nonlinear price reaction functions may be caused by various theoretical reasons such as nonlinear demand functions (Maskin & Tirole, 1988;Cowan, 2007), spatial product differentiation (Tabuchi & Thisse, 1995;Martin, 2002;Scrimitore, 2003) and game-theoretical strategic behaviours (Dhar et al 2005;Xu & Hajek, 2013). Empirically, existence of transportation costs and measurement errors in data (Taylor, 1988), and asymmetric price competition dynamics (Woo et al, 2017) may also lead to the rejection of linear cointegration relationship between retailer prices. Notes: A constant and a linear trend are included in the ADF regression; The critical values are -3.159, -3.466 and -4.075 for the 10%, 5% and 1% significance level, respectively; The figures in the parentheses are the chosen lag lengths in the ADF regression.…”