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Experimental Economics 20001

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One-off prisoner's dilemmas. Testing the theory in the lab. Finitely repeated prisoner's dilemmas ... the lab for the one-off game. Two Subjects. Given Payoff ... – PowerPoint PPT presentation

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Title: Experimental Economics 20001


1
Experimental Economics 2000/1
  • John Hey
  • jdh1_at_york.ac.uk

2
Experimental Economics
  • General Reading
  • Lecture Programme
  • Specific Reading
  • Seminar Programme
  • Examination
  • Other - web page, EXEC, ESA

3
Lecture Programme
  • Prisoners Dilemma Games
  • Co-ordination Games
  • Centipede Games
  • Public Goods Problems
  • Beauty Contests
  • Herding Models
  • Markets
  • Asset Markets
  • Herding in Markets

4
Seminar Programme
  • Introduction to Z-tree (week 4)
  • Illustration of Z-tree experiments (week 6)
  • Outlining the design of an experiment (week 8)
  • Implementing the experiment (week 10)
  • Z-tree www.iew.unizh.ch/home/fischbacher/
  • ESA www.econ.nyu.edu/Dept/ESA/index.htm

5
The Methodology of Experimental Economics (1)
Testing theories
  • We reproduce the conditions of the theory in the
    laboratory
  • We have one subject for each agent in the theory
  • We give the subjects the same incentive as the
    agents in the theory
  • We then see how the agents behave.

6
Prisoners Dilemma Games
  • The Basic Structure and why it is of interest
  • One-off prisoners dilemmas
  • Testing the theory in the lab
  • Finitely repeated prisoners dilemmas
  • Randomly repeated prisoners dilemmas
  • Infinitely repeated prisoners dilemmas

7
An example of a Prisoners Dilemma
8
General Structureagtc dgtb bgta
9
Another Example
10
A further example
11
Repetition?
  • Finite
  • Infinite
  • Random

12
Test in the lab for the one-off game
  • Two Subjects
  • Given Payoff Matrix
  • Asked to Decide
  • Paid off the amount in the realised cell of the
    table
  • Sent away

13
Alternative lab scenarios
  • Several subjects (more than 2)
  • Play several games
  • Matched with different or same people each game,
    depending on objective of experiment
  • Paid the payoff in all the games or the payoff in
    a randomly chosen game

14
Existing Experiments
  • See Handbook, pages 26 to 28 variations on the
    PD have been the subject of virtually continuous
    experimental interest since the 1950 experiment
    of
  • Selten and Stoecker (1986) - note copies of all
    references are with Helen Hawksby - finitely
    repeated supergames

15
Selten and Stoeckers Basic Game
16
Selten Stoeckers Treatment
  • 26 subjects
  • each subject participated in 25 supergames - each
    with 10 repetitions of basic game
  • (actually only 12 subjects)

17
Basic Results
  • Always some co-operation (not the Nash outcome)
  • Extent of co-operation first grew...
  • then diminished
  • but did not disappear entirely
  • Authors fitted Learning Model to data

18
A synopsis of their results
19
Conclusions
  • Straightforward to test Game Theoretic
    predictions of Prisoners Dilemma Game in
    laboratory - though care needed
  • Clear subjects do not behave as Game Theory
    predicts
  • Experiment enables a Theory of Learning to be
    constructed.
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