Every symmetric 3 x 3 global game of strategic complementarities is noise independent

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,...

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1. Verfasser: Basteck, Christian (VerfasserIn)
Weitere Verfasser: Danïels, Tijmen (VerfasserIn)
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Sprache:eng
Veröffentlicht: Berlin SFB 649, Economic Risk 2010
Schriftenreihe:SFB 649 discussion paper 2010,061
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Online Zugang:http://sfb649.wiwi.hu-berlin.de/papers/pdf/SFB649DP2010-061.pdf
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Zusammenfassung: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. -- Global games, noise independence
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