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On Rationalizability in Two-Person Alternating-Offer Bargaining

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Author Info
Vannetelbosch, Vincent J. () (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES); UNIVERSITE CATHOLIQUE DE LOUVAIN, Center for Operations Research and Econometrics (CORE))

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Abstract

This paper reconsiders Rubinstein's alternating-offer bargaining game with complete information. We define rationalizability for multi-stage games with observed actions. Whe show that rationalizability does not exclude perpetual disagreement or delay. Then, we define trembling-hand rationalizability and we show that it implies a unique solution. Moreover, this unique solution is the subgame perfect equilibrium. We also reconsider an extension of Rubinstein's game wherein there is a smallest money unit.

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Publisher Info
Paper provided by Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) in its series Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) Discussion Paper with number 1996023.

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Length: 16
Date of creation: 00 Oct 1996
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Handle: RePEc:ctl:louvir:1996023

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Related research
Keywords: bargaining alternating-offer rationalizability money unit

Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

References listed on IDEAS
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  1. Asheim, G.B. & Dufwenberg, M., 1996. "Admissibility and common knowledge," Discussion Paper 16, Tilburg University, Center for Economic Research. [Downloadable!]
  2. Van Damme, Eric & Selten, Reinhard & Winter, Eyal, 1990. "Alternating bid bargaining with a smallest money unit," Games and Economic Behavior, Elsevier, vol. 2(2), pages 188-201, June. [Downloadable!] (restricted)
    Other versions:
  3. Muthoo, Abhinay, 1991. "A Note on Bargaining over a Finite Number of Feasible Agreements," Economic Theory, Springer, vol. 1(3), pages 290-92, July.
  4. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January. [Downloadable!] (restricted)
  5. Vannetelbosch, V.J., 1995. "Two-Person Sequential Bargaining with Boundedly Rational Players," Papers 9553, Catholique de Louvain - Center for Operations Research and Economics.
  6. Reny Philip J., 1993. "Common Belief and the Theory of Games with Perfect Information," Journal of Economic Theory, Elsevier, vol. 59(2), pages 257-274, April. [Downloadable!] (restricted)
  7. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-28, July. [Downloadable!] (restricted)
  8. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-50, July. [Downloadable!] (restricted)
  9. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics. [Downloadable!]
  10. Cho, In-Koo, 1994. "Stationarity, Rationalizability and Bargaining," Review of Economic Studies, Blackwell Publishing, vol. 61(2), pages 357-74, April. [Downloadable!] (restricted)
  11. Battigalli, Pierpaolo, 1997. "On Rationalizability in Extensive Games," Journal of Economic Theory, Elsevier, vol. 74(1), pages 40-61, May. [Downloadable!] (restricted)
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