@inbook{aeb8bb2aca0f401d9c903d049eed43fe,
title = "Intrinsic correlation in games",
abstract = "Correlations arise naturally in noncooperative games, e.g., in the equivalence between undominated and optimal strategies in games with more than two players. But the noncooperative assumption is that players do not coordinate their strategy choices, so where do these correlations come from? The epistemic view of games gives an answer. Under this view, the players' hierarchies of beliefs (beliefs, beliefs about beliefs, etc.) about the strategies played in the game are part of the description of a game. This gives a source of correlation: A player believes other players' strategy choices are correlated, because he believes their hierarchies of beliefs are correlated. We refer to this kind of correlation as {"}intrinsic,{"}since it comes from variables-viz., the hierarchies of beliefs-that are part of the game. We compare the intrinsic route with the {"}extrinsic{"}route taken by Aumann (1974), which adds signals to the original game.",
keywords = "conditional independence, correlated equilibrium, Correlation, epistemic game theory, intrinsic correlation, rationalizability",
author = "Adam Brandenburger and Amanda Friedenberg",
note = "Publisher Copyright: {\textcopyright} 2014 World Scientific Publishing Co. Pte. Ltd.",
year = "2023",
month = sep,
day = "1",
doi = "10.1142/9789814513449_0004",
language = "English (US)",
series = "World Scientific Series in Economic Theory",
publisher = "World Scientific",
pages = "59--111",
editor = "Adam Brandenburger",
booktitle = "World Scientific Series in Economic Theory",
address = "United States",
}