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The bargaining solution among threshold strategies

  • Mathematical Game Theory and Applications
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Abstract

We consider a bargaining problem which engages a seller (player I) and a buyer (player II). Each player possesses private information about own reservation price which is unavailable to the opponent. Players appear on the market and announce their prices for a product. If the transaction takes place then the gain of a player is the difference between the negotiated and the reservation prices. We find the equilibrium in this game among threshold strategies.

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References

  1. Brams, S.J., Negotiation Games. Applying Game Theory to Bargaining and Arbitration, New York: Routledge, 1990.

    Book  Google Scholar 

  2. Brams, S.J. and Kilgour, D.M., Bargaining Procedures That Induce Honesty, Group Decis. Negotiation, 1996, vol. 5, no. 3, pp. 239–262.

    Article  Google Scholar 

  3. Chatterjee, K. and Samuelson, W., Bargaining under Incomplete Information, Operat. Res., 1983, vol. 31, no. 5, pp. 835–851.

    Article  MATH  Google Scholar 

  4. Harsanyi, J.C. and Selten, R., A Generalised Nash Solution for Two-Person Bargaining Games with Incomplete Information, Manage. Sci., 1972, vol. 18, no. 5, pp. 80–106.

    Article  MathSciNet  Google Scholar 

  5. Kilgour, D.M., Brams, S.J., and Kaplan, T.R., Three Procedures for Inducing Honesty in Bargaining, Proc. 13th Conf. on Theoretical Aspects of Rationality and Knowledge, Groningen, 2011, pp. 170–176, doi:10.1145/2000378.2000398.

    Google Scholar 

  6. Mazalov, V.V. and Kondratyev, A.Y., Bargaining Model with Incomplete Information, Vestn. St.-Peterburg. Univ., 2012, ser. 10, no. 1, pp. 33–40.

    Google Scholar 

  7. Myerson, R. and Satterthwait, M.A., Efficient Mechanisms for Bilateral Trading, J. Econom. Theory, 1983, vol. 29, pp. 265–281.

    Article  MATH  MathSciNet  Google Scholar 

  8. Myerson, R., Two-Person Bargaining Problems with Incomplete Information, Econometrica, 1984, vol. 52, pp. 461–487.

    Article  MATH  MathSciNet  Google Scholar 

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Correspondence to V. V. Mazalov.

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Original Russian Text © V.V. Mazalov, A.Y. Kondratev, 2013, published in Matematicheskaya Teoriya Igr i Priloszheniya, 2013, No. 2, pp. 46–63.

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Mazalov, V.V., Kondratev, A.Y. The bargaining solution among threshold strategies. Autom Remote Control 76, 507–520 (2015). https://doi.org/10.1134/S0005117915030157

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  • DOI: https://doi.org/10.1134/S0005117915030157

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