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Games That End in a Bang or a Whimper

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Author Info
Brams, S. J.
Kilgour, M. D.

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Abstract

Using truels, or three-person duels, as an example, we show that how players perceive a multiple-round game will end can make a big difference in whether it ends non-cooperatively (producing a "bang") or just peters out (producing a "whimper"): 1. If the players view the number of rounds as bounded-reasonable, because the game must end in a finite number of rounds-they will shoot from the start. 2. If the players view the number of rounds as unbounded-reasonable, because the horizon of the game is infinite-then a cooperative equilibrium, involving no shooting, can also occur. Real- life examples are given of players with bounded and unbounded outlooks in truel- like situations. Unbounded outlooks encourage cooperative play, foster hope, and lead to more auspicious outcomes. These outcomes are facilitated by institutions that put no bounds on play-including reprisals-thereby allowing for a day of reckoning for those who violate established norms. Eschatological implications of the analysis, especially for thinking about the future and how it might end, are also discussed.

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Publisher Info
Paper provided by C.V. Starr Center for Applied Economics, New York University in its series Working Papers with number 01-05.

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Length: 15 pages
Date of creation: 2001
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Handle: RePEc:cvs:starer:01-05

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Postal: C.V. Starr Center, Department of Economics, New York University, 19 W. 4th Street, 6th Floor, New York, NY 10012
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Web page: http://econ.as.nyu.edu/object/econ.cvstarr.html
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Postal: C.V. Starr Center, Department of Economics, New York University, 19 W. 4th Street, 6th Floor, New York, NY 10012
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Related research
Keywords: TRUELS; BACKWARD INDUCTION; INFINITE-HORIZON GAMES; ESCHATOLOGY;

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Find related papers by JEL classification:
N72 - Economic History - - Economic History: Transport, International and Domestic Trade, Energy, and Other Services - - - U.S.; Canada: 1913-

References listed on IDEAS
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  1. Kilgour, D.M. & Brams, S.J., 1996. "Backward Induction is not Robust: The Parity Problem and the Uncertainty Problem," Working Papers 96-21, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. DUFOUR, Jean-Marie, 2000. "Économétrie, théorie des tests et philosophie des sciences," Cahiers de recherche 2000-14, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
    Other versions:
  2. BOSSERT, Walter & BRAMS, Steven J. & KILGOUR, D. Marc, 2000. "Cooperative VS. Non-cooperative Truels: Little Agreement, but Does that Matter?," Cahiers de recherche 2000-15, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
    Other versions:
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