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2014 | 24 | 1 | 71-96
Article title

Probabilities on streams and reflexive games

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EN
Abstracts
EN
Probability measures on streams (e.g. on hypernumbers and p-adic numbers) have been defined. It was shown that these probabilities can be used for simulations of reflexive games. In particular, it can be proved that Aumann’s agreement theorem does not hold for these probabilities. Instead of this theorem, there is a statement that is called the reflexion disagreement theorem. Based on this theorem, probabilistic and knowledge conditions can be defined for reflexive games at various reflexion levels up to the infinite level.
Year
Volume
24
Issue
1
Pages
71-96
Physical description
Contributors
  • University of Information Technology and Management in Rzeszow, ul. Sucharskiego 2, 35-225 Rzeszów, Poland, andrew.schumann@gmail.com
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Document Type
Publication order reference
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YADDA identifier
bwmeta1.element.desklight-5e688da3-07b4-42ac-b705-7f14c2d60280
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