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A Non-Cooperative Bargaining Procedure Generalising The Kalai-Smorodinsky Bargaining Solution To Ntu Games

Author

Listed:
  • GUSTAVO BERGANTIÑOS

    (Department of Statistics and OR, Faculty of Economics, University of Vigo, 36271 Vigo, Pontevedra, Spain)

  • BALBINA CASAS-MÉNDEZ

    (Department of Statistics and OR, Faculty of Mathematics, University of Santiago, 15771 Santiago de Compostela, Spain)

  • MARGARITA VÁZQUEZ-BRAGE

    (Department of Mathematics, Faculty of Informatics, University of La Coruña, 15071 La Coruña, Spain)

Abstract

We present a new NTU value, which generalises the Kalai-Smorodinsky bargaining solution to NTU games using three approaches. In the first section, we define the new NTU value as the only efficient point in the segment defined by an upper and a lower bound. Next, we define a bargaining procedure and prove that this procedure leads to a single, subgame perfect equilibrium payoff vector, which coincides with the new NTU value. Finally, we characterise the new value using several properties.

Suggested Citation

  • Gustavo Bergantiños & Balbina Casas-Méndez & Margarita Vázquez-Brage, 2000. "A Non-Cooperative Bargaining Procedure Generalising The Kalai-Smorodinsky Bargaining Solution To Ntu Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 2(04), pages 273-286.
    • Handle: RePEc:wsi:igtrxx:v:02:y:2000:i:04:n:s0219198900000226
    DOI: 10.1142/S0219198900000226
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    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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