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Category: Games

Mechanism design

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.

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Author appliedprobabilityPosted on July 8, 2018July 8, 2018Categories GamesLeave a comment on Mechanism design

n-Person Games

We now consider games with more that 2 players, so called n-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.

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Author appliedprobabilityPosted on July 8, 2018July 9, 2018Categories GamesLeave a comment on n-Person Games

Two-person zero-sum games

We consider a highly simplified game between two players.

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Author appliedprobabilityPosted on July 8, 2018July 9, 2018Categories GamesLeave a comment on Two-person zero-sum games

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.

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Author appliedprobabilityPosted on July 5, 2017July 5, 2017Categories GamesLeave a comment on Revenue Equivalence

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.

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Author appliedprobabilityPosted on July 5, 2017July 5, 2017Categories Games, OptimizationLeave a comment on Gale-Eisenberg Market

Utility Theory

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

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Author appliedprobabilityPosted on April 12, 2017July 5, 2017Categories GamesLeave a comment on Utility Theory

Topics

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  • MATH10951 Finance for Actuarial (2)
  • MATH69122 Stochastic Control for Finance (21)
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