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Every symmetric 3×3 global game of strategic complementarities has noise-independent selection

  • Basteck, Christian
  • Daniëls, Tijmen R.

We prove that the global game selection in all 3×3 payoff-symmetric supermodular games is independent of the noise structure. As far as we know, all other proofs of noise-independent selection in such games rely on the existence of a so-called monotone potential (MP) maximiser. Our result is more general, since some 3×3 symmetric supermodular games do not admit an MP maximiser. As a corollary, noise-independent selection does not imply the existence of an MP maximiser, nor the existence of an equilibrium robust to incomplete information.

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Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 47 (2011)
Issue (Month): 6 ()
Pages: 749-754

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Handle: RePEc:eee:mateco:v:47:y:2011:i:6:p:749-754
Contact details of provider: Web page: http://www.elsevier.com/locate/jmateco

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