“…Although earlier works have focused on the stylized market structure, with an upstream firm dealing with several downstream firms (McAfee & Schwartz, 1994;O'Brien & Shaffer, 1992;Rey & Vergé, 2004), some recent works have investigated more complex structures, with multiple upstream firms dealing with multiple downstream firms (Collard-Wexler et al 2019;Rey et al, 2019). The contract structure varies from nonlinear contracts, mostly in the form of linear tariffs (O'Brien & Shaffer, 1992;Rey & Vergé, 2004), to a linear form (Gaudin, 2019); the contracting term involves the control over supply quantities (Rey & Vergé, 2004) or varieties (Allain et al 2020).…”