“…Furthermore, the other direction concentrated on a comprehensive applications in different fields, such as male and female (Gale & Shapley,1962;Bloch & Ryder, 2000;Irving et al, 2008), staff and positions (Roth,1985;Azevedo, 2014), transaction suppliers and demanders (Sim & Chan, 2000;Jiang et al, 2011Jiang et al, , 2015, students and colleges (Pais, 2008 ;Chui et al, 2020), knowledge matching (Chen et al,2016), tasks assignment (Cullen & Farronato,2021;Kadadha et al,2021), competition analysis (Belleflamme & Peitz, 2019;Ribeiro & Golovanova, 2020).It is noted that the research in this direction are very fruitful. In addition, recent papers explore how a platform should make matching decisions in dynamic settings (Banerjee et al, 2015;Hu & Zhou, 2018).…”