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Robert Louis Stevenson's Bottle Imp: A strategic analysis

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  • Kukushkin, Nikolai S.

Abstract

The background of Stevenson's story is viewed as a stylized model of participation in a financial pyramid. You are invited to participate in a dubious activity. If you refuse, you neither gain nor lose anything. If you accept, you will gain if you are able to find somebody who will take your place on exactly the same conditions, but suffer a loss otherwise. The catch is that there is a finite number of discrete steps at which the substitution can be done, so the agent who joins in at the last step inevitably loses. Clearly, rational agents will not agree to participate at any step. However, an arbitrarily small probability of a "bailout," in which case that last agent will get the same gain as every other participant, plus an appropriately asymmetric structure of private information, change everything, so the proposal will be accepted in a (subgame perfect) equilibrium, provided there are sufficiently many steps ahead.

Suggested Citation

  • Kukushkin, Nikolai S., 2015. "Robert Louis Stevenson's Bottle Imp: A strategic analysis," MPRA Paper 64639, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:64639
    as

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    File URL: https://mpra.ub.uni-muenchen.de/64639/1/MPRA_paper_64639.pdf
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    References listed on IDEAS

    as
    1. Kocherlakota, Narayana, 2008. "Injecting rational bubbles," Journal of Economic Theory, Elsevier, vol. 142(1), pages 218-232, September.
    2. Barlevy, Gadi, 2014. "A leverage-based model of speculative bubbles," Journal of Economic Theory, Elsevier, vol. 153(C), pages 459-505.
    3. Dilip Abreu & Markus K. Brunnermeier, 2003. "Bubbles and Crashes," Econometrica, Econometric Society, vol. 71(1), pages 173-204, January.
    4. Dulleck, Uwe & Oechssler, Jorg, 1997. "The absent-minded centipede," Economics Letters, Elsevier, vol. 55(3), pages 309-315, September.
    5. Miao, Jianjun, 2014. "Introduction to economic theory of bubbles," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 130-136.
    6. Milgrom, Paul & Stokey, Nancy, 1982. "Information, trade and common knowledge," Journal of Economic Theory, Elsevier, vol. 26(1), pages 17-27, February.
    7. Sophie Moinas & Sebastien Pouget, 2013. "The Bubble Game: An Experimental Study of Speculation," Econometrica, Econometric Society, vol. 81(4), pages 1507-1539, July.
    8. Boldrin, Michele & Levine, David K., 2001. "Growth Cycles and Market Crashes," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 13-39, January.
    9. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-1181, September.
    10. Bacharach, Michael, 1985. "Some extensions of a claim of Aumann in an axiomatic model of knowledge," Journal of Economic Theory, Elsevier, vol. 37(1), pages 167-190, October.
    11. Patrick Leoni, 2009. "Market crashes, speculation and learning in financial markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(2), pages 217-229, May.
    12. Neeman, Zvika, 1996. "Common Beliefs and the Existence of Speculative Trade," Games and Economic Behavior, Elsevier, vol. 16(1), pages 77-96, September.
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    More about this item

    Keywords

    financial pyramid; partitional information structure; game of incomplete information; game of perfect information;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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