Correlated Equilibria and Mean Field Games: A Simple Model

General-Sum Games: Correlated Equilibria

This lecture introduces a generalization of Nash equilibrium due to Aumann [1] known as correlated equilibrium, which allows for possible dependencies in strategic choices. A daily example of a correlated equilibrium is a traffic light: a red (green) signal suggests that cars should stop (go), and following each suggestion is of course rational. Following Aumann [2], we present two definitions ...

Correlated Equilibria and Communication in Games

Coarse Correlated Equilibria in Duopoly Games

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Sequential Correlated Equilibria in Stopping Games

In many situations, such as trade in stock exchanges, agents have many instances to act even though the interaction lasts a relatively short time. The agents in such situations can often coordinate their actions in advance, but coordination during the game consumes too much time. An equilibrium in such situations has to be sequential in order to handle mistakes made by players. In this paper, w...

Characterization of correlated equilibria in stochastic games

A general communication device is a device that at every stage of the game receives a private message from each player, and in return sends a private signal to each player; the signals the device sends depend on past play, past signals it sent, and past messages it received. An autonomous correlation device is a general communication device where signals depend only on past signals the device s...