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Arbitrating a Dispute: A Decision Analytic Approach

Author

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  • Jehoshua Eliashberg

    (The Wharton School, University of Pennsylvania, Philadelphia, Pennsylvania 19104)

Abstract

Many collective decision-making and bargaining situations can be described through the set of the feasible joint evaluations of all conceivable settlements. Attention should then be restricted to that subset (Pareto-optimal frontier) from which no joint gains are possible. Hence, the focal issue becomes which element of the Pareto-optimal subset should be chosen as a solution to the dispute. This paper proposes an arbitration procedure to address this issue. The proposed approach, decision-analytic in its nature, is inspired by LaValle's (LaValle, I. H. 1978. Fundamentals of Decision Analysis. Holt, Rinehart and Winston, New York.) allocation-function approach (which is not specific on how to obtain an allocation function) and by Eliashberg and Winkler's (Eliashberg, J., R. L. Winkler. 1981. Risk sharing and group decision making. Management Sci. 27 (November) 1221--1235.) work (which does not accommodate probability differences within the group). After the new approach is presented, its implications are examined for some likely scenarios and examples are considered.

Suggested Citation

  • Jehoshua Eliashberg, 1986. "Arbitrating a Dispute: A Decision Analytic Approach," Management Science, INFORMS, vol. 32(8), pages 963-974, August.
  • Handle: RePEc:inm:ormnsc:v:32:y:1986:i:8:p:963-974
    DOI: 10.1287/mnsc.32.8.963
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    Cited by:

    1. Li, Susan X. & Huang, Zhimin & Zhu, Joe & Chau, Patrick Y. K., 2002. "Cooperative advertising, game theory and manufacturer-retailer supply chains," Omega, Elsevier, vol. 30(5), pages 347-357, October.
    2. Yan, Ruiliang & Wang, John & Zhou, Bin, 2010. "Channel integration and profit sharing in the dynamics of multi-channel firms," Journal of Retailing and Consumer Services, Elsevier, vol. 17(5), pages 430-440.
    3. Yue, Jinfeng & Austin, Jill & Wang, Min-Chiang & Huang, Zhimin, 2006. "Coordination of cooperative advertising in a two-level supply chain when manufacturer offers discount," European Journal of Operational Research, Elsevier, vol. 168(1), pages 65-85, January.
    4. Mesak, H. I. & Mayyasi, A. M., 1995. "A simple model of international joint venture distributorships: the American-Kuwaiti experience," Omega, Elsevier, vol. 23(5), pages 525-538, October.
    5. Yue, Jinfeng & Austin, Jill & Huang, Zhimin & Chen, Bintong, 2013. "Pricing and advertisement in a manufacturer–retailer supply chain," European Journal of Operational Research, Elsevier, vol. 231(2), pages 492-502.
    6. Eriksson, Katarina, 2019. "An option mechanism to coordinate a dyadic supply chain bilaterally in a multi-period setting," Omega, Elsevier, vol. 88(C), pages 196-209.
    7. Tsai, Shing Chih & Chen, Sin Ting, 2017. "A simulation-based multi-objective optimization framework: A case study on inventory management," Omega, Elsevier, vol. 70(C), pages 148-159.
    8. Xie, Jinxing & Wei, Jerry C., 2009. "Coordinating advertising and pricing in a manufacturer-retailer channel," European Journal of Operational Research, Elsevier, vol. 197(2), pages 785-791, September.
    9. Kevin Weng, Z., 1995. "Modeling quantity discounts under general price-sensitive demand functions: Optimal policies and relationships," European Journal of Operational Research, Elsevier, vol. 86(2), pages 300-314, October.
    10. Aust, Gerhard & Buscher, Udo, 2012. "Vertical cooperative advertising and pricing decisions in a manufacturer–retailer supply chain: A game-theoretic approach," European Journal of Operational Research, Elsevier, vol. 223(2), pages 473-482.
    11. Aust, Gerhard & Buscher, Udo, 2014. "Cooperative advertising models in supply chain management: A review," European Journal of Operational Research, Elsevier, vol. 234(1), pages 1-14.
    12. Nagarajan, Mahesh & Sosic, Greys, 2008. "Game-theoretic analysis of cooperation among supply chain agents: Review and extensions," European Journal of Operational Research, Elsevier, vol. 187(3), pages 719-745, June.
    13. Zhao, Yingxue & Wang, Shouyang & Cheng, T.C.E. & Yang, Xiaoqi & Huang, Zhimin, 2010. "Coordination of supply chains by option contracts: A cooperative game theory approach," European Journal of Operational Research, Elsevier, vol. 207(2), pages 668-675, December.

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