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

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  • Christian Basteck
  • Tijmen R. Daniëls

Abstract

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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Bibliographic Info

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
Date of revision:
Handle: RePEc:hum:wpaper:sfb649dp2010-061

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Keywords: global games; noise independence;

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References

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Citations

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Cited by:
  1. Basteck, Christian & Daniëls, Tijmen R. & Heinemann, Frank, 2013. "Characterising equilibrium selection in global games with strategic complementarities," Journal of Economic Theory, Elsevier, Elsevier, vol. 148(6), pages 2620-2637.
  2. Oury, Marion, 2013. "Noise-independent selection in multidimensional global games," Journal of Economic Theory, Elsevier, Elsevier, vol. 148(6), pages 2638-2665.
  3. Oyama, Daisuke & Takahashi, Satoru, 2011. "On the relationship between robustness to incomplete information and noise-independent selection in global games," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 683-688.

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