In a contest in which solvers with heterogeneous expertise exert effort to develop solutions, a recent paper (Terwiesch, C., Y. Xu. 2008. Innovation contests, open innovation and multiagent problem solving. Management Science. 54(9) 1529--1543) argues that as more solvers enter the contest,...

We study supply chains where multiple suppliers sell to multiple retailers through a wholesale market. In practice, we often observe that both suppliers and retailers tend to influence the wholesale market price retailers pay to suppliers. However, existing models of supply chain competition do...