I am a researcher in ordered algebras and many-valued logics with applications in game theory and uncertainty representation. Many game-theoretic models have common mathematical roots. They are connected by variations on the notion of a lattice ordered Abelian group such as MV-algebras or Riesz spaces. Fundamental questions about game solutions or probabilistic models can be recast as interesting problems in algebra, mathematical logic or polyhedral geometry.


Tomáš Kroupa
The Czech Academy of Sciences
Institute of Information Theory and Automation