“…However, the potential influence of large volumes of grid-scale storage and those particular situations in which ESS's behavior could have an impact on electricity prices, such as during peak load hours or when grid constraints are binding, raise questions regarding their participation in markets and the implications of different market designs. Researchers investigating the strategic behavior of a price-making ESS in electricity markets typically adopt one of the following three approaches: (i) the impact on prices is determined by means of a demand function (Schill and Kemfert, 2011;Baillo et al, 2004;De La Torre et al, 2002) or market resilience functions (Brijs et al, 2016); (ii) the strategic behavior is represented through a bilevel optimization model or mathematical problem with equilibrium constraints (MPEC), reflecting a Stackelberg relationship between the ESS owner and the market (operator) (Hartwig and Kockar, 2016;Mohsenian-Rad, 2016;Ye et al, 2016Ye et al, , 2017Nasrolahpour et al, 2017;Schillemans et al, 2018;Cui et al, 2018;Dvorkin et al, 2018;Jia et al, 2018;Chen et al, 2019;Govaerts et al, 2018;Kardakos et al, 2016;Huang et al, 2018) or (iii) multiple strategic agents are considered in an equilibrium problem with equilibrium constraints (EPEC) (Sioshansi, 2014;Shahmohammadi et al, 2018b,a;Pandžić et al, 2019;Zou et al, 2016). This last type of problems can be considered as a set of MPECs with a common set of equilibrium constraints.…”