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3단계 공급사슬게임을 위한 협조적 게임이론의 적용

Cooperative Game Theory Application for Three-Echelon Supply Chain

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주제분류산업공학

초록

Fair Allocation of profits or costs arising from joint participation by multiple individuals or entities with different purposes is essential for their continuing involvement and for their dissatisfaction reduction. In this research, fair allocation of the profits of forming a grand coalition in Three-Echelon Supply Chain (TESC) game that is composed of manufacturer, distributor and retailer, is studied. In particular, the solutions of the proportional method of profit, the proportional method of marginal profit, and Shapley value based on cooperative game theory are proved to be in the desirable characteristics of the core. The proportional method of profit and the proportional method of marginal profit are often used because of their ease of application. These methods distribute total profit in proportion to profits or marginal profits of each game participant. In addition, Shapley value can be defined as the average marginal profit when one game player is added at a time. Even though the calculation of the average of all possible marginal profits is not simple, Shapley value are often used as a useful method. Experiments have shown that the solution of the incremental method, which calculates the marginal cost of adding game players in the order of manufacturers, distributors and retailers, does not exist in the core.

Abstract

Fair Allocation of profits or costs arising from joint participation by multiple individuals or entities with different purposes is essential for their continuing involvement and for their dissatisfaction reduction. In this research, fair allocation of the profits of forming a grand coalition in Three-Echelon Supply Chain (TESC) game that is composed of manufacturer, distributor and retailer, is studied. In particular, the solutions of the proportional method of profit, the proportional method of marginal profit, and Shapley value based on cooperative game theory are proved to be in the desirable characteristics of the core. The proportional method of profit and the proportional method of marginal profit are often used because of their ease of application. These methods distribute total profit in proportion to profits or marginal profits of each game participant. In addition, Shapley value can be defined as the average marginal profit when one game player is added at a time. Even though the calculation of the average of all possible marginal profits is not simple, Shapley value are often used as a useful method. Experiments have shown that the solution of the incremental method, which calculates the marginal cost of adding game players in the order of manufacturers, distributors and retailers, does not exist in the core.

참고문헌 (12)

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  3. Huang, Y., "Coordinating pricing and inventory decisions in a multi-level supply chain : A game-theoretic approach", Transportation Research Part E, 47, pp.115~129 (2011)
  4. Jena, S. K., "Price competition and cooperation in a duopoly closed-loop supply chain", International Journal of Production Economics, 156, pp.346~360 (2014)
  5. 김남선, "이종 네트워크 환경에서 게임 이론적 접근방법을 이용한 무선 자원관리", 한국산학기술학회논문지, 16(3), pp.2178~2184 (2015), 한국산학기술학회[DOI]
  6. 이동주, "재고비용할당을 위한 비례적 접근법", 한국산업경영시스템학회지, 41(4), pp.220~227 (2018), 한국산업경영시스템학회[DOI]
  7. 이한우, "협조적 게임을 이용한 영상 확대 알고리즘", 한국정보기술학회논문지, 11(11), pp.189~194 (2013), 한국정보기술학회
  8. Meca, A., "Inventory games", European Journal of Operational Research, 156(1), pp.127~139 (2004)
  9. Shapley, L. S., "Contributions to the Theory of Games, Vol. Ⅱ", pp.307~317 (1953), Princeton University Press
  10. Zhao, Y., "Coordination of supply chain by option contracts : A cooperative game theory approach", European Journal of Operational Research, 207, pp.668~675 (2010)
  11. 장일수, "협조적 게임에 의한 송전요금체계: 국내 전력시장을 사례로", 에너지경제연구, 14(3), pp.343~382 (2015), 재단법인 에너지경제연구원[DOI]
  12. Zheng, X. -X., "Cooperative Game Approaches to Coordinating a Three-echelon Closed-loop Supply Chain with Fairness Concerns", International Journal of Production Economics, 212, pp.92~110 (2019)

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