This paper makes three related contributions to noncooperative game theory: (i) a solution concept (the 'ICEU solution'), which is generated by an iterative procedure that constructs trinary partitions of strategy sets and deals with problems arising from weak dominance; (ii) a class of models of...

This paper presents a new iterative procedure for solving finite noncooperative games, the reasoning-based expected utility procedure (RBEU), and compares this with existing iterative procedures. RBEU deletes more strategies than iterated deletion of strictly dominated strategies, while avoiding...

The game-theoretic assumption of "common knowledge of rationality" leads to paradoxes when rationality is represented in a Bayesian framework as cautious expected utility maximisation with independent beliefs (ICEU). We diagnose and resolve these paradoxes by presenting a new class of formal...