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A non-cooperative foundation for the continuous Raiffa solution

Author

Listed:
  • Bram Driesen

    () (University of Glasgow)

  • Peter Eccles

    () (British Airways Plc)

  • Nora Wegner

    () (Bank of England)

Abstract

This paper provides a non-cooperative foundation for (asymmetric generalizations of) the continuous Raiffa solution. Specifically, we consider a continuous-time variation of the classic Ståhl–Rubinstein bargaining model, in which there is a finite deadline that ends the negotiations, and in which each player’s opportunity to make proposals is governed by a player-specific Poisson process, in that the rejecter of a proposal becomes proposer at the first next arrival of her process. Under the assumption that future payoffs are not discounted, it is shown that the expected payoffs players realize in subgame perfect equilibrium converge to the continuous Raiffa solution outcome as the deadline tends to infinity. The weights reflecting the asymmetries among the players correspond to the Poisson arrival rates of their respective proposal processes.

Suggested Citation

  • Bram Driesen & Peter Eccles & Nora Wegner, 2017. "A non-cooperative foundation for the continuous Raiffa solution," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(4), pages 1115-1135, November.
    • Handle: RePEc:spr:jogath:v:46:y:2017:i:4:d:10.1007_s00182-017-0567-9
    DOI: 10.1007/s00182-017-0567-9
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Continuous Raiffa solutions; Non-cooperative foundation;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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