論文：　2021年3月修了(大阪大学大学院基礎工学研究科修士課程修了) 題目：　Profit Allocation Analysis of Two Manufacturers and One Retailer by Cooperative Game Theory with Coalitional Externalities 著者：　Mao Hasegawa

概要：　 In recent years, with the progress of IoT, cooperation between companies has been attracting much attention. The profit allocation based on cooperative game theory is important. Most of the solution concepts in the cooperative game theory assume that the profit is allocated to the grand coalition for the analysis of pricing strategy for supply chain members. However, partial coalitions may be formed, and the available information is different between these members. In this paper, we analyze the equilibrium solutions of possible coalition structures of the pricing problems for a supply chain consisting of two manufacturers and one common retailer under asymmetric demand function. Equilibrium solution indicates that there are coalitional externalities. A partition function form (PFF) game is used to analyze the profit allocation with coalitional externalities. We propose a new solution concept for PFF games based on optimistic and pessimistic concepts. From numerical examples, it is demonstrated that optimistic and pessimistic core exist when the substitutability of products is decreased. It is also shown that a coalition is formed when substitutability and asymmetry are small.