I am a researcher in ordered algebras and many-valued logics for game theory and uncertainty models. Game-theoretic and decision-making models have common mathematical roots. They are connected by many 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.
On leave from
Institute of Information Theory and Automation
Czech Academy of Sciences