Mechanism design is the game-theoretic setting where a designer chooses the game played in order to ensure some desired behavior or some desirable outcome occurs. We cover the VCG mechanism and Revelation Principle.

# Category: Games

## n-Person Games

We now consider games with more that players, so called *-person games*. We continue to consider non-cooperative games i.e. where players act solely in their own interests. From zero-sum games we extend our notation.

## Two-person zero-sum games

We consider a highly simplified game between two players.

## Revenue Equivalence

For a number of differing auction settings, we consider the sale of a single item amongst fixed number of auction participants. It is interesting that under a certain game-theoretic construction all these auctions can be seen to be equivalent.

## Gale-Eisenberg Market

The Gale-Eisenberg is a nice example were the distributed decisions of buyers and sellers have an equilibrium which solves an optimization problem.

## Utility Theory

- Utility functions and their equivalence
- Risk Aversion.
- CRRA utility and its equivalence with Iso-elastic utilities.