On the Non-Symmetric Nash and Kalai–Smorodinsky Bargaining Solutions

• Autorzy: Gerchak Y.

Identyfikatory

DOI

10.7494/dmms.2015.9.1.55

• Konferencja: 10th Spain-Italy-Netherlands Meeting on Game Theory (SING10)
• Języki publikacji: EN

Abstrakty

EN

Recently, in some negotiation application areas, the usual assumption that negotiators are symmetric has been relaxed. In particular, weights have been introduced to the Nash Bargaining Solution to reflect the different powers of the players. Yet, we feel that operating with non-symmetric bargaining solutions and their implications is not well understood. We analyze the properties and optimization of the non-symmetric Nash Bargaining Solution and of a non-symmetric Kalai–Smorodinsky Bargaining Solution. We provide extensive comparative statics, then comment on the implications of the concepts in supply chain coordination contexts.

Słowa kluczowe

EN

Nash bargaining solution; Non-Symmetric; Kalai–Smorodinsky Bargaining Solution; supply chain coordination

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Decision Making in Manufacturing and Services
• Rocznik: 2015
• Tom: Vol. 9, no. 1
• Strony: 55--61
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Gerchak Y.

• Tel Aviv University, Department of Industrial Engineering, Israel

Bibliografia

• 1. Cachon, G.P., 2003. Supply Chain Coordination with Contracts. Handbooks in Operations Research and Management Science.
• 2. Dubra, J., 2001. An Asymmetric Kalai-Smorodinsky Solution. Economics Letters, 73, pp. 131–136.
• 3. Eppen, G.D., 1979. Effects of Centralization on Expected Costs in a Multi-Location Newboy Problem. Management Science, 25(5), pp. 498–501.
• 4. Hanany, E., Gerchak, Y., 2008. Nash Bargaining Over Allocations in Inventory Pooling Contracts. Naval Research Logistics, 55, pp. 541–550.
• 5. Kalai, E., 1977. Non-symmetric Nash Solutions and Replications of a Person Bargaining. International Journal of Game Theory, 6, pp. 129–133.
• 6. Kalai, E., Smorodinsky, M., 1975. Other Solutions to Nash’s Bargaining Problem. Econometrica, 43, pp. 513–518.
• 7. Mantin, B., Krishnan, H., Dhar, T., 2014. The Strategic Role of Third Party Marketplace in Retailing. Production and Operations Management, 23, 1937–1949.
• 8. Nagarajan, M., Sosic, G., 2008. Game Theoretic Analysis of Cooperation Supply Chain Agents: Review and Extensions. European Journal of Operational Research, 187, pp. 719–745.
• 9. Wu, D., Baron O., Berman, O., 2009. Bargaining in Competitive Supply Chain with Uncertainty. European Journal of Operational Research, 197, pp. 548–558.