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

Yigal Gerchak

Abstract


Recently in some negotiation application areas the usual assumption that the 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 operating with non-symmetric bargaining solutions and their implications is, we feel, 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.


Keywords


91A

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References


Cachon, G.P. (2003) “Supply Chain Coordination with Contracts”. Handbooks in Operations Research and Management Science.

Dubra, J. (2001) “An Asymmetric Kalai-Smorodinsky Solution”. Economics Letters, 73, 131-136.

Eppen, G.D. “Effects of Centralization on Expected Costs in a Multi-Location Newboy Problem”. Management Science, 25, 498-501.

Hanany, E. and Y. Gerchak (2008) “Nash Bargaining Over Allocations in Inventory Pooling Contracts”. Naval Research Logistics, 55, 541-550.

Kalai, E. (1977) “Nonsymmetric Nash Solutions and Replications of a Person Bargaining”. International Journal of Game Theory, 6, 129-133.

Kalai, E. and M. Smorodinsky (1975) “Other Solutions to Nash’s Bargaining Problem”. Econometrica, 43, 513-518.

Mantin,B., H. Krishnan and T. Dhar (2014) “The Strategic Role of Third Party Marketplace in Retailing”. Production and Operations Management, 23, 1937-1949.

Nagarajan, M. and G. Sosic (2008) “Game Theoretic Analysis of Cooperation Supply Chain Agents: Review and Extensions”. European Journal of Operational Research, 187, 719-745.

Wu, D., O. Baron and O. Berman (2009) “Bargaining in Competitive Supply Chain with Uncertainty”. European Journal of Operational Research. 197, 548-558.




DOI: http://dx.doi.org/10.7494/dmms.2015.9.1.55

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