TY - BOOK AU - Brandenburger,Adam TI - Language of game theory: putting epistemics into the mathematics of games T2 - World scientific series in economic theory SN - 9789814513432 U1 - 519.3 23 PY - 2014/// CY - Singapore PB - World Scientific KW - Game theory N1 - Includes bibliographical references and indexes; 1. An Impossibility Theorem on Beliefs in Games; 2. Hierarchies of Beliefs and Common Knowledge; 3. Rationalizability and Correlated Equilibria; 4. Intrinsic Correlation in Games; 5. Epistemic Conditions for Nash Equilibrium; 6. Lexicographic Probabilities and Choice under Uncertainty; 7. Admissibility in Games; 8. Self-Admissible Sets N2 - This book contains eight papers written by Adam Brandenburger and his co-authors over a period of 25 years. These papers are part of a program to reconstruct game theory in order to make what players believe about a game a central feature of the theory. The program - now called epistemic game theory - extends the classical definition of a game model to include not only the game matrix or game tree, but also what each player believes about how the game will be played, and even higher-order beliefs. With this richer mathematical framework, it becomes possible to determine what different configurations of beliefs among the players imply for how a game is played. Epistemic game theory includes traditional equilibrium-based theory as a special case, but allows for a wide range of non-equilibrium behavior ER -