INFORMATION GAMES

Symmetric Incomplete Information Games as Stochastic Games

The purpose of this chapter is to show how games with incomplete information in fact reduce to stochastic games, as long as the information is symmetric among the players. The new state space corresponds to the beliefs on the space of unknown parameters.

Bayesian Games: Games with Incomplete Information

Glossary Bayesian game An interactive decision situation involving several decision makers (players) in which each player has beliefs about (i. e. assigns probability distribution to) the payoff relevant parameters and the beliefs of the other players. State of nature Payoff relevant data of the game such as payoff functions, value of a random variable, etc. It is convenient to think of a state...

Games with Perfect Information

Information, Processes and Games

2 Some Background Theories 4 2.1 Domain Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.1.1 Examples of Domains . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.1.2 Technical Issues . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.1.3 Conceptual Issues . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.1.4 Continuous Function...

Incomplete Information Aggregation Games

This paper concerns a class of collective decision-making problems under incomplete information. Members of a group receive private signals and the group must take a collective decision—e.g., make a group purchase—based on the aggregate of members’ private information. Since members have diverse preferences over the outcome of this decision, each has an incentive to manipulate the decision-maki...