Bayesian game theory investigates strategic interaction of players with full awareness but incomplete information about their environment. We extend the analysis to players with incomplete awareness, who might not be able to reason about all contingencies in the first place. We develop three logical systems for knowledge, probabilistic beliefs and awareness, and characterize their axiom systems. Bayesian equilibrium is extended to games with incomplete awareness and we show that it is consistent with common prior and speculative trade, when common knowledge of rationality is violated.
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Burnet Inst, Melbourne, Vic 3004, Australia
UNSW, Ctr Social Res Hlth, Sydney, NSW 2052, Australia
La Trobe Univ, Australian Res Ctr Sex Hlth & Soc ARCSHS, Bundoora, Vic 3086, AustraliaUniv Notre Dame, Sch Med, Sydney, NSW 2007, Australia
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Univ Plymouth, Fac Hlth, Plymouth, Devon, England
Univ Plymouth, Fac Hlth, Community & Primary Care Res Grp, ITTC Bldg,Plymouth Sci Pk, Derriford PL6 8BX, Devon, EnglandUniv Plymouth, Fac Hlth, Plymouth, Devon, England
Farina, Nicolas
Hassan, Esra
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Brighton & Sussex Med Sch, Ctr Dementia Studies, E Sussex, EnglandUniv Plymouth, Fac Hlth, Plymouth, Devon, England
Hassan, Esra
Theresia, Imelda
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Alzheimer Indonesia, Jakarta, IndonesiaUniv Plymouth, Fac Hlth, Plymouth, Devon, England
Theresia, Imelda
Fitri, Fasihah Irfani
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Univ Sumatera Utara, Fac Med, Dept Neurol, Medan, IndonesiaUniv Plymouth, Fac Hlth, Plymouth, Devon, England
Fitri, Fasihah Irfani
Suswanti, Ika
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Atma Jaya Catholic Univ Indonesia, Sch Med & Hlth Sci, Dept Neurol, Jakarta, IndonesiaUniv Plymouth, Fac Hlth, Plymouth, Devon, England
Suswanti, Ika
Sani, Tara Puspitarini
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Alzheimer Indonesia, Jakarta, IndonesiaUniv Plymouth, Fac Hlth, Plymouth, Devon, England
Sani, Tara Puspitarini
Evans-Lacko, Sara
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London Sch Econ & Polit Sci, Care Policy & Evaluat Ctr, London, EnglandUniv Plymouth, Fac Hlth, Plymouth, Devon, England
Evans-Lacko, Sara
Banerjee, Sube
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Univ Nottingham, Fac Med & Hlth Sci, Nottingham, EnglandUniv Plymouth, Fac Hlth, Plymouth, Devon, England
Banerjee, Sube
Turana, Yuda
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Atma Jaya Catholic Univ Indonesia, Sch Med & Hlth Sci, Jakarta, IndonesiaUniv Plymouth, Fac Hlth, Plymouth, Devon, England
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Ctr Dis Control & Prevent, Natl Ctr Birth Defects & Dev Disabil, Atlanta, GA 30329 USACtr Dis Control & Prevent, Natl Ctr Birth Defects & Dev Disabil, Atlanta, GA 30329 USA
Levis, Denise M.
Harris, Shelly
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RTI Int, Res Triangle Pk, NC USACtr Dis Control & Prevent, Natl Ctr Birth Defects & Dev Disabil, Atlanta, GA 30329 USA
Harris, Shelly
Whitehead, Nedra
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RTI Int, Res Triangle Pk, NC USACtr Dis Control & Prevent, Natl Ctr Birth Defects & Dev Disabil, Atlanta, GA 30329 USA
Whitehead, Nedra
Moultrie, Rebecca
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RTI Int, Res Triangle Pk, NC USACtr Dis Control & Prevent, Natl Ctr Birth Defects & Dev Disabil, Atlanta, GA 30329 USA
Moultrie, Rebecca
Duwe, Kara
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Ctr Dis Control & Prevent, Natl Ctr Birth Defects & Dev Disabil, Atlanta, GA 30329 USACtr Dis Control & Prevent, Natl Ctr Birth Defects & Dev Disabil, Atlanta, GA 30329 USA
Duwe, Kara
Rasmussen, Sonja A.
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Ctr Dis Control & Prevent, Natl Ctr Birth Defects & Dev Disabil, Atlanta, GA 30329 USACtr Dis Control & Prevent, Natl Ctr Birth Defects & Dev Disabil, Atlanta, GA 30329 USA