<p style='text-indent:20px;'>This paper investigates a manufacturer's retail outsourcing strategies under different competition modes with economies of scale. We focus on the effects market modes, scale and competitor's behavior decisions, then we develop four game models three modes. Firstly, find channel structure where both manufacturers choose cannot be an equilibrium Cournot competit...

One of the most basic tools in the theory of automorphic forms is the truncation operator, first defined in [Langlands: 1966] but elaborated in later work of Jim Arthur (particularly [Arthur: 1978] and [Arthur: 1980]). In spite of its fundamental nature, there are many mysteries about it. In this article I’ll not dispel many of these, but I’ll at least motivate its definition by relating it to ...