Voluntary contributions

[fields]

Testo nascosto, fai click qui per vederlo

The best strategy is to put in the pot 0 euro.

Let us prove this assertion. Since other players' choices are independent of my choice (they cannot know it by the rules of the game), I can assume they have put in the common pot N euro. Let x be the money I put in the pot. Then I win N/2+20-x+x/2=N/2+20-x/2 euro. So the best is to choose x=0.

[Cozza Taddeo]

Here is my choice!

Testo nascosto, fai click qui per vederlo

I put all 20 euro in the pot.
Some considerations:
- if each player puts x euro in the pot, each one receives 3*x euro after the game, therefore the best way to increase money is to put all in the pot, hoping that the other players are aware that this is the best choice (if they are rational, they should see that...);
- if the amount was more important (such as 1000 euro or more) I would never put all in the pot because the risk would be too high for me. Probably I would put only about 200 euro.

Have a good game!

[wedge]

two more players! let's go guys!

[Cheguevilla]

Here is my choice:

Testo nascosto, fai click qui per vederlo

1

[luca.barletta]

Testo nascosto, fai click qui per vederlo

0

[Cozza Taddeo]

Testo nascosto, fai click qui per vederlo

I understand that 0 is the Nash equilibirum but it's not the optimal choice. If the aim is increasing the amount of money, all can reach this goal by putting all 20 euro in the pot (payoff of 60 euro!!!).
On the oppostite, in this way each one has gained only 10 euro (while I lost them, damn!!! )...
If this wasn't a mathematical forum but, for instance, a literature or politic one, I think that people would have put much more money in the pot (disregarding completely Nash equilibrium) and each of them would have a greater payoff (this is only a supposition of mine, but I believe in it...).
Maybe too much reasoning doesn't lead always to the best result...

P.S.: I'm sure that it is evident, but I am completely ignorant in this matter...

[wedge]

Testo nascosto, fai click qui per vederlo

I agree with CozzaTaddeo.
As I wrote (0,0,0,0,0,0) is the optimal choice for one who wants not to lose money.
If everyone wants to gain something, everyone gotta risk! That's the meaning of my answer. Maybe the strategy was ingenous and based on an assumption (each player wants to gain), but I tried to look for and justify a "third way" between 0 and the total risk.
Bye!

[Fioravante Patrone]

Codice:

PLAYER   NAME       CHOICE FROM POT TOTAL FINAL MONEY FOR EACH PLAYER   
1        wedge          5     13      28   
2        Kroldar        0     13      33   
3        fields         0     13      33   
4        Cozza Taddeo  20     13      13   
5        Cheguevilla    1     13      32   
6        Luca Barletta  0     13      33   
         POT:          26            172   TOTAL MONEY


the results are listed above

before going on, please let me know whether I have made any kind of mistake, or ask fo clarifications in case the table is not as clear as I believe...

[Kroldar]

I have a proposal: let's ask the administrators to give us the money we need, in order to play the game really!!

[wedge]

your table is ok, Fioravante

good proposal, Kroldar!