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Equilibrium Selection in Static and Dynamic Entry Games

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Author Info
John Duffy
Jack Ochs

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Abstract

We experimentally examine equilibrium selection concepts in static and dynamic binary choice games of complete information with strategic complementarities known as “entry” games. Examples include speculative attacks, bank runs and refinancing decisions by multiple lenders. We explore behavior when the value of a state variable is known to all players in advance of making their action choices. Such games give rise to multiple equilibria and coordination problems. Our specific aim is to assess the predictive power of two different equilibrium selection principles. In static entry games, we test the theory of global games as an equilibrium selection device. This theory posits that players play games of complete information as if they were playing a related global game of incomplete information. In dynamic entry games, individuals decide not only whether to enter but also when to enter. Once entry occurs it is irreversible. The number of people who have already entered is part of the state description, and individuals can condition their decisions on that information. If the state variable does not indicate that entry is dominated, the efficient subgame perfect equilibrium prediction calls for all players to immediately choose to enter, thereby resolving the coordination problem. This subgame perfect entry threshold in the dynamic game will generically differ from the global game threshold in static versions of the same entry game. Our experimental findings suggest that entry thresholds in both static and dynamic versions of the same entry game are surprisingly similar. The mean entry threshold in the static game lies below the global game equilibrium threshold while the mean entry threshold in the dynamic game lies above the efficient subgame perfect equilibrium threshold. An important implication of this finding is that if one were to observe only the value of the state variable and the number of people who enter by the end of the game one could not determine whether the static or the dynamic game had been played.

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Paper provided by University of Pittsburgh, Department of Economics in its series Working Papers with number 376.

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Date of creation: Jan 2009
Date of revision: Feb 2009
Handle: RePEc:pit:wpaper:376

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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
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information

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  1. Obstfeld, Maurice, 1996. "Models of Currency Crises with Self-fulfilling Features," CEPR Discussion Papers 1315, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  2. Frank Heinemann & Rosemarie Nagel & Peter Ockenfels, 2004. "The Theory of Global Games on Test: Experimental Analysis of Coordination Games with Public and Private Information," Econometrica, Econometric Society, vol. 72(5), pages 1583-1599, 09. [Downloadable!] (restricted)
  3. Amil Dasgupta & Jakub Steiner & Colin Stewart, 2007. "Efficient Dynamic Coordination with Individual Learning," ESE Discussion Papers 175, Edinburgh School of Economics, University of Edinburgh. [Downloadable!]
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  4. Frank Heinemann, 2000. "Unique Equilibrium in a Model of Self-Fulfilling Currency Attacks: Comment," American Economic Review, American Economic Association, vol. 90(1), pages 316-318, March. [Downloadable!] (restricted)
  5. George-Marios Angeletos & Christian Hellwig & Alessandro Pavan, 2007. "Dynamic Global Games of Regime Change: Learning, Multiplicity, and the Timing of Attacks," Econometrica, Econometric Society, vol. 75(3), pages 711-756, 05. [Downloadable!] (restricted)
  6. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September. [Downloadable!] (restricted)
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  7. James S. Costain, 2007. "A Herding Perspective on Global Games and Multiplicity," The B.E. Journal of Theoretical Economics, Berkeley Electronic Press, vol. 7(1). [Downloadable!]
  8. Morris, Stephen & Shin, Hyun Song, 2006. "Catalytic finance: When does it work?," Journal of International Economics, Elsevier, vol. 70(1), pages 161-177, September. [Downloadable!] (restricted)
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  9. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer, vol. 10(2), pages 171-178, June. [Downloadable!] (restricted)
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