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Preempting versus Postponing: the Stealing Game

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  • Andrea Gallice

Abstract

We present an endogenous timing game of action commitment in which play- ers can steal from each other parts of a homogeneous and perfectly divisible pie and the expected effectiveness of a player?s theft is proportional to the amount he currently owns. We show how the incentives to preempt or to follow the rivals change with the number of players involved in the game and we inves- tigate the conditions that lead to the occurrence of symmetric or asymmetric equilibria.

Suggested Citation

  • Andrea Gallice, 2012. "Preempting versus Postponing: the Stealing Game," Carlo Alberto Notebooks 281, Collegio Carlo Alberto.
    • Handle: RePEc:cca:wpaper:281
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    References listed on IDEAS

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    1. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, April.
    2. Atsushi Kajii & Stephen Morris, 1997. "The Robustness of Equilibria to Incomplete Information," Econometrica, Econometric Society, vol. 65(6), pages 1283-1310, November.
    3. Hamilton, Jonathan H. & Slutsky, Steven M., 1990. "Endogenous timing in duopoly games: Stackelberg or cournot equilibria," Games and Economic Behavior, Elsevier, vol. 2(1), pages 29-46, March.
    4. , & ,, 2008. "Caller Number Five and related timing games," Theoretical Economics, Econometric Society, vol. 3(2), June.
    5. van Damme, Eric & Hurkens, Sjaak, 1999. "Endogenous Stackelberg Leadership," Games and Economic Behavior, Elsevier, vol. 28(1), pages 105-129, July.
    6. van Damme, Eric & Hurkens, Sjaak, 2004. "Endogenous price leadership," Games and Economic Behavior, Elsevier, vol. 47(2), pages 404-420, May.
    7. van Damme, Eric & Hurkens, Sjaak, 1996. "Commitment Robust Equilibria and Endogenous Timing," Games and Economic Behavior, Elsevier, vol. 15(2), pages 290-311, August.
    8. Morris, Stephen & Rob, Rafael & Shin, Hyun Song, 1995. "Dominance and Belief Potential," Econometrica, Econometric Society, vol. 63(1), pages 145-157, January.
    9. van Damme, Eric & Hurkens, Sjaak, 1999. "Endogenous Stackelberg Leadership," Games and Economic Behavior, Elsevier, vol. 28(1), pages 105-129, July.
    10. Paul Klemperer & Jeremy Bulow, 1999. "The Generalized War of Attrition," American Economic Review, American Economic Association, vol. 89(1), pages 175-189, March.
    11. Brunnermeier, Markus K. & Morgan, John, 2010. "Clock games: Theory and experiments," Games and Economic Behavior, Elsevier, vol. 68(2), pages 532-550, March.
    12. Rosenthal, Robert W., 1981. "Games of perfect information, predatory pricing and the chain-store paradox," Journal of Economic Theory, Elsevier, vol. 25(1), pages 92-100, August.
    13. Andreas Park & Lones Smith, 2004. "Caller Number Five: Timing Games that Morph From One Form to Another," 2004 Meeting Papers 871, Society for Economic Dynamics.
    14. Brams, Steven J. & Kilgour, D. Mark, 1997. "The Truel," Working Papers 97-05, C.V. Starr Center for Applied Economics, New York University.
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    Cited by:

    1. David Reitter & Jens Grossklags, 2019. "The Positive Impact of Task Familiarity, Risk Propensity, and Need For Cognition on Observed Timing Decisions in a Security Game," Games, MDPI, vol. 10(4), pages 1-18, December.

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    More about this item

    Keywords

    stealing; endogenous timing games.;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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