Intro to Game Theory: Difference between revisions
From Santa Fe Institute Events Wiki
| Line 24: | Line 24: | ||
## G. Hardin, ''Mutual Coercion Mutually Agreed upon by the Majority of the People Affected'' (This paper implicitly assumes certainly about the size of the public good) | ## G. Hardin, ''Mutual Coercion Mutually Agreed upon by the Majority of the People Affected'' (This paper implicitly assumes certainly about the size of the public good) | ||
## Amnon Rapoport (not Antol Rapoport) has done excellent work in behavioral game theory where there is uncertainty about the size of the public good, which is a more realistic model of real-world problems (e.g. overfishing). | ## Amnon Rapoport (not Antol Rapoport) has done excellent work in behavioral game theory where there is uncertainty about the size of the public good, which is a more realistic model of real-world problems (e.g. overfishing). | ||
# More on behavioral game theory: Camerer, Loewenstein, and others. | |||
= Interested? Please put below ... = | = Interested? Please put below ... = | ||
Revision as of 16:02, 19 June 2007
Tutors: Will Braynen, Simon Angus
Content (provisional)
- Why Game theory? When Game theory?
- Simultaneous Games
- The Nash Equilibrium (NE)
- Some standard games (Prisoner's Dilemma, Stag Hunt)
- Sequential Games
- Sub-game perfect NE
- Repeated Games
- Computational Examples (NetLogo)
- Games and Interaction structures
- Applications and Links to other fields
- Biology
- Economics
- Philosophy
- Psychology
Additional reading and concepts
- Aumann's Correlated Equilibrium (CE) concept (1974), which allows all players get higher payoffs than with Nash Equilibria (NE) in some games: http://en.wikipedia.org/wiki/Correlated_equilibrium
- Von Neumann's maximin decision rule (1928), which results in an NE in two-player zero-sum (and hence constant-sum) games. Maximin is a decision rule which tells you to choose an action that will maximize your minimum (worst-case) payoff. Equivalently, you can think of this as minimizing your possible loss. Hence, maximin is a very risk-averse rule and most likely not result in an equilibrium when followed by all players outside (two-player) zero-sum games. In Political Philosophy, John Rawls's difference principle is derived from maximin.
- Socal Dilemmas are defined by the order of the payoffs (so you could formalize this notion) and are characterized by having a dominant strategy that leads to a suboptimal outcome for all players. One type of a social dilemma is the Prisoner's Dilemma. Further readings on public goods and social dilemmas:
- Robyn Dawes, Social Dilemmas
- G. Hardin, Mutual Coercion Mutually Agreed upon by the Majority of the People Affected (This paper implicitly assumes certainly about the size of the public good)
- Amnon Rapoport (not Antol Rapoport) has done excellent work in behavioral game theory where there is uncertainty about the size of the public good, which is a more realistic model of real-world problems (e.g. overfishing).
- More on behavioral game theory: Camerer, Loewenstein, and others.
Interested? Please put below ...
Paul H.
Kristen
Saleha
Frederic
Alex Healing
Aaron
nathan menke
Brian Lawler
Mollie Poynton
Heather
rafal
Monika
Olaf Bochmann