Case: "the three Musketeers "
agents
Athos, Portos and Aramis are the imaginary first names of three very great contemporary actors.
A cinema producer, whose pseudonym is A. DUMAS, tries to convince them to shoot a new production
together, of which we do not know the title yet (sic). He promises them substantial financial benefit if
they are able to get along
If Athos, Portos and Aramis agree to work together, they will have a sum of 121 million euros to share
out. The way this sum is shared out depends on them, but they have to agree on the amount that each one
will receive.
If only two of them decide to shoot together while excluding the third, the amount of the sum to be shared
out will be less significant. The sharing out of the sum also depends on the interested parties. To get
anything at all, it is imperative that the two accomplices agree on the exact share to the nearest franc.
Only one agreement is possible. Either the three actors agree to divide the full amount into three, or two
actors decide to shoot together leaving the third actor without anything.
Table of gain
Athos without agreement obtains 0
Portos and Aramis alone share 50 millions euros
Portos without agreement obtains 0
Athos and Aramis alone share 84 millions euros
Aramis without agreement obtains 0
Athos and Porthos alone share 118 millions euros
Athos, Porthos and Aramis shooting together share 121 million euros
Each agent of each actor aims to obtain the highest possible profit in the total assigned time.
At the strike of the gong, the 3 agents are obliged to meet around a table and to open the talks formally.
2 of the 3 agents can conclude alone.
If 2 of the 3 agents wish to speak to each other, the 3rd agent is strictly forbidden to interrupt them for 2
minutes. He nevertheless has the possibility of remaining at the table and of listening to what the other 2
say.
If any agreement is reached, at least 3 minutes must pass between the moment the agreement is made, and
the start of this agreement.
During the last 3minutes of the total assigned time, it is still possible to establish a new agreement at any
time. It is the first agreement taken which will then enter into force.