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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 (market). We show how the incentives to preempt or to follow the rivals radi- cally change with the number of players involved in the game. In the course of the analysis we also introduce, discuss and apply the concept of pu-dominance, a generalization of the risk-dominance criterion to games with more than two players.

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File URL: http://www.icer.it/docs/wp2008/ICERwp02-08.pdf
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Bibliographic Info

Paper provided by ICER - International Centre for Economic Research in its series ICER Working Papers with number 02-2008.

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Length: 21 pages
Date of creation: Jun 2008
Date of revision:
Handle: RePEc:icr:wpicer:02-2008

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Related research

Keywords: stealing; endogenous timing games; pu-dominance.;

Other versions of this item:

Find related papers by 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

This paper has been announced in the following NEP Reports:

• NEP-ALL-2009-06-03 (All new papers)
• NEP-EXP-2009-06-03 (Experimental Economics)
• NEP-GTH-2009-06-03 (Game Theory)

References

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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.
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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.
   
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   • Andreas Park & Lones Smith, 2008. "Caller Number Five and Related Timing Games," Working Papers tecipa-317, University of Toronto, Department of Economics.
5. Eric van Damme & Sjaak Hurkens, 1998. "Endogenous price leadership," Economics Working Papers 289, Department of Economics and Business, Universitat Pompeu Fabra.
   
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   • Damme, E.E.C. van & Hurkens, S., 2004. "Endogenous price leadership," Open Access publications from Tilburg University urn:nbn:nl:ui:12-129320, Tilburg University.
   • Eric van Damme & Sjaak Hurkens, 2001. "Endogenous price leadership," Economics Working Papers 581, Department of Economics and Business, Universitat Pompeu Fabra.
6. Van Damme, E. & Hurkens, S., 1993. "Commitment Robust Equilibria and Endogenous Timing," Papers 9356, Tilburg - Center for Economic Research.
   
   • van Damme, Eric & Hurkens, Sjaak, 1996. "Commitment Robust Equilibria and Endogenous Timing," Games and Economic Behavior, Elsevier, vol. 15(2), pages 290-311, August.
   • Damme, E.E.C. van & Hurkens, J.P.M., 1996. "Commitment robust equilibria and endogenous timing," Open Access publications from Tilburg University urn:nbn:nl:ui:12-73412, Tilburg University.
7. Morris, Stephen & Rob, Rafael & Shin, Hyun Song, 1995. "Dominance and Belief Potential," Econometrica, Econometric Society, vol. 63(1), pages 145-57, January.
   
   • S. Morris & R. Rob & H. Shin, 2010. "p-dominance and Belief Potential," Levine's Working Paper Archive 505, David K. Levine.
8. van Damme, Eric & Hurkens, Sjaak, 1999. "Endogenous Stackelberg Leadership," Games and Economic Behavior, Elsevier, vol. 28(1), pages 105-129, July.
   
   • Damme, E.E.C. van & Hurkens, J.P.M., 1999. "Endogenous Stackelberg leadership," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154410, Tilburg University.
   • Eric van Damme & Sjaak Hurkens, 1996. "Endogenous Stackelberg leadership," Economics Working Papers 190, Department of Economics and Business, Universitat Pompeu Fabra.
   • Damme, E.E.C. van & Hurkens, J.P.M., 1996. "Endogenous Stackelberg Leadership," Discussion Paper 1996-115, Tilburg University, Center for Economic Research.
   • Damme, E.E.C. van & Hurkens, S., 1998. "Endogenous Stackelberg leadership," Open Access publications from Tilburg University urn:nbn:nl:ui:12-80496, Tilburg University.
9. Jeremy Bulow & Paul Klemperer, 1997. "The Generalized War of Attrition," NBER Working Papers 5872, National Bureau of Economic Research, Inc.
   
   • Paul Klemperer & Jeremy Bulow, 1999. "The Generalized War of Attrition," American Economic Review, American Economic Association, vol. 89(1), pages 175-189, March.
   • Bulow, Jeremy I & Klemperer, Paul, 1997. "The Generalized War of Attrition," CEPR Discussion Papers 1564, C.E.P.R. Discussion Papers.
   • Jeremy I. Bulow & Paul Klemperer, 1996. "The Generalized War of Attrition," Cowles Foundation Discussion Papers 1142, Cowles Foundation for Research in Economics, Yale University.
   • Paul Klemperer & Jeremy Bulow, 1999. "The Generalized War of Attrition," Game Theory and Information 9901004, EconWPA.
10. Brunnermeier, Markus K. & Morgan, John, 2010. "Clock games: Theory and experiments," Games and Economic Behavior, Elsevier, vol. 68(2), pages 532-550, March.
    
    • Markus K Brunnermeier & John Morgan, 2004. "Clock Games: Theory and Experiments," Levine's Bibliography 122247000000000401, UCLA Department of Economics.
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    • Brunnermeier, Markus K & Morgan, John, 2006. "Clock Games: Theory and Experiments," Competition Policy Center, Working Paper Series qt9c11m09n, Competition Policy Center, Institute for Business and Economic Research, UC Berkeley.
11. 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.
12. 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.
    
    • Andreas Park & Lones Smith, 2006. "Caller Number Five: Timing Games that Morph from One Form to Another," Cowles Foundation Discussion Papers 1554, Cowles Foundation for Research in Economics, Yale University.

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