The Tennis Coach Problem:

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The Tennis Coach Problem An Experimental Study
of Cognition and Behavior in a New Strategic Game
Ayala Arad
Tel Aviv University
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The Game (1)
Tennis Tournament Each team
has 4 players The tennis coach
assigns A, A, B, B To
positions 1, 2, 3, 4
The player in position x plays
once against The player in
position x of any other team
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The Game (2)
The Score
In any match
The player with the higher level wins and get 1
point
Players with the same level ? a tie ? ½ a
point to each player
The teams score is the sum of its players points
The winning team is the one with the highest
score among the team
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Example
Red team
Position
A B B A
Blue team
Position
1
3
4
2
Score 1.5 points to the Red team
2.5 points to the Blue team
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Main Results - Iterated Reasoning
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More Results
The Second and the Third Iteration (L2, L3) are
almost absent
( 3.5 )
RT 166 s
There are other leading decision rules
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Related literature
P-beauty contests, Centipede game, Hide and seek
games
Non-equilibrium models of initial responses
Based on level k thinking
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How should I proceed?
Suggestions are welcome!!