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Every Symmetric 3 x 3 Global Game of Strategic Complementarities Is Noise Independent

  • Christian Basteck
  • Tijmen R. Daniëls

We prove that the global game selection in all 3 x 3 payoff-symmetric supermodular games is independent of the noise structure. As far as we know, all other proofs of noise independence of such games rely on the existence of a so-called monotone potential (MP) maximiser. Our result is more general, since some 3 x 3 symmetric supermodular games do not admit an MP maximiser. Moreover, a corollary is that noise independence does not imply the existence of an MP maximiser.

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Paper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2010-061.

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Length: 11 pages
Date of creation: Dec 2010
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Handle: RePEc:hum:wpaper:sfb649dp2010-061
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