The risk of divergence
arXiv:1512.07010
Abstract
We present infinite extensive strategy profiles with perfect information and we show that replacing finite by infinite changes the notions and the reasoning tools. The presentation uses a formalism recently developed by logicians and computer science theoreticians, called coinduction. This builds a bridge between economic game theory and the most recent advance in theoretical computer science and logic. The key result is that rational agents may have strategy leading to divergence .
3rd International Workshop on Strategic Reasoning, Dec 2015, Oxford, United Kingdom. 2015