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The Contenders, the Rabbit and the Closer
BJ EngelhardtJingzhi XuXiaoqing LiXiaoqian Ruan
Game Theory in Reality
Unexpected Golden Medal
During the 2012 London Olympics, runner Mo Farah became a British national hero by winning the gold 10,000 meter and 5,000 meter track races. But actually, he was not expected to be the winner of 5,000 meter track race
How could he win the race?
How it happenedNo
coordination took place in
the 2012 5,000m race
No one to push pace for top contenders,
thus the race started slow
Mo Farah has very fast final split times in
races
Mo Farah moves to the front of the
pack over the final 1000m
The PlayersTwo ‘Top Contenders’: Two competitors that have a
high probability of victory in the game.
The ‘Closer’: A competitor that has a lower probability of victory than the top contenders but a higher probability than the rabbit. Probability for victory increases in non-cooperative scenarios
The ‘Rabbit’: A competitor that is working in cooperation with one of the top competitors to increase that top competitors probability of victory.
Game Explanation
Scenario 1 – A Cooperative Race Decision Scenario10.0% 10.0%
0 0
TRUE Chance
0 0
40.0% 40.0%
0 0
40.0% 40.0%
0 0
10.0% 10.0%
0 0
Decision
0
2.0% 0.0%
0 0
FALSE Chance
0 0
30.0% 0.0%
0 0
50.0% 0.0%
0 0
18.0% 0.0%
0 0
Rabbit's Decision
Sets Pace
Rabbit Wins Race
Non-Cooperative Contender Wins Race
Cooperative Contender Wins Race
Closer Wins Race
Draft
Rabbit Wins Race
Non-Cooperative Contender Wins Race
Cooperative Contender Wins Race
Closer Wins Race
Scenario 2 – A Non-Cooperative Race Decision Scenario 50.0% 50.0%
0 0
TRUE Chance
0 0
30.0% 30.0%
0 0
20.0% 20.0%
0 0
TRUE Decision
0 0
30.0% 0.0%
0 0
FALSE Chance
0 0
30.0% 0.0%
0 0
40.0% 0.0%
0 0
Decision
0
30.0% 0.0%
0 0
FALSE Chance
0 0
50.0% 0.0%
0 0
20.0% 0.0%
0 0
No Rabbit - Top Contender #1's Choice
Draft
Top Contender #2 Sets Pace
Top Contender #1 Wins
Top Contender #2 Wins
Closer Wins
Top Contender #2 Drafts
Top Contender #1 Wins
Top Contender #2 Wins
Closer Wins
Sets Pace
Top Contender #1 Wins
Top Contender #2 Wins
Closer Wins
Game in the real world
Tour de France bicycle race
Application in Business
Cooperative Game
Corporations
Off-shoot Company
Testing new idea
Using this idea to advance the profits of the corporation
Stop using this idea and
change other ideas
Success
ful
Failed
Test again
Non-cooperative game
Thank you
