Logic and the foundations of game theory
While the other lectures of the workshop apply various game-theoretic
concepts and constructions to analyse issues in logic, this one will
focus on logical issues in the foundations of game theory. The lecture
will explain the logical difficulties which arise from traditional game
theory s reliance on informal assumptions about the players knowledge,
rationality, and reasoning capabilities, and the attempts that have been
made during last decade to address those difficulties by means of formal
logic, in particular various systems of epistemic modal logic. The
following questions will be considered: 1) What are the epistemic
conditions behind the different game-theoretic solution concepts?
2) To which extent are conditionals other than the material implication needed
in game-theoretic reasoning? 3) What is a game?
Arnis Vilks