Mourre variant

The variant paper, scissors... of the game of mourre is played in silence, each player brings back a point to gaining.
The game is done in a number of points fixed as a preliminary.

paper: hand opened
scissors: index and major, ecarted
stone: closed fist
well: the index and the thumb joined, form an O horizontal

To remember: paper covers stone and the well, the stone blunts the scissors, the scissors cut paper, but the scissors and the stone fall into the well.

paper gains against stone and the well the scissors gain against paper the stone gains against the scissors the well gains against stone and the scissors

gains paper scissors stone well paper 0 -1 1 1 scissors 1 0 -1 -1 stone -1 1 0 -1 well -1 1 1 0

Click on one of the four figures, the blue cross marks your choice.
At the same time the computer carries out its choice, the red circle indicates the figure chosen by the computer.
The signs show that you marked or not the point against the computer or that you are with equality.

Mourre

Choose, click, start again

plays

computer

player

Simulations

Your play: :
Write four positive or null numbers and simulezsimulate 10 000 plays against the computer.
paper, scissors, stone, wells will be selected in your place, randomly with probabilities proportional to the four numbers given, in the order.

optimal mixed strategy, a strategy (still better) adapted.

Four numbers
Your gain

Computer strategies: The computer chooses paper, scissors, stone, well randomly, with probabilities that it calculates as a preliminary of one or the other in the two ways indicated.

First mixed strategy: The choice of the computer does not depend on your, the four figures are selected with the probabilities 1/3, 1/3, 0 and 1/3 which correspond to the optimal mixed strategy.

Another mixed strategy: In this second case, the computer calculates the probabilities according to yours. If you did not choose the optimal mixed strategy, you will lose (on average). At best you will be with equality (on average) against the computer.
When, for example, the first posting indicates after simulation 18 26 15 1 #ordi: 0 2 7 23, your mixed strategy was to choose the figures with the probabilities 18/60 26/60 15/60 1/60, that of the computer was to choose - in all independence - the figures with the probabilities 0/32 2/32 7/32 23/32 (of nap equalizes to 1 obviously).

The word mourre would come from italian morra, unless it is not the reverse!
Phenicians and the navigators uses the play to conclude their commercial transactions.
The mourre was also used to decide, in other games, who would begin the game. According to Marot, the poet Guillaume Coquillart would have ruined himself there and would have died about it of sorrow (1510).

The two adversaries, upright, face, the right hand ahead, palm in the air. At the same time, they must state an unspecified number up to 10 whole while showing a number of unspecified fingers, the closed point corresponds to the zero (morra).
If the stated number equalizes the sum of the numbers of fingers of the two players, the play is gaining, but the game continues without marking downtime. Rate is of approximately a blow a second.
Each game is done in a number of points fixed in advance.