Me and Evelyn played a game similar to the golden balls where we could split or steel. But I felt that the game would not work without something at stake. Originally I wanted to bet money but due to a lack of it we decided to bet pens and pencils.
We both received two cards, one represented split and the other represented steal. We bet one pen and one pencil. If we both split one would get the pen and the other would get the pencil. If we both stole Grace would get both the pen and pencil and if one of us stole and the other split the one who stole would receive both the pen and pencil.
We both received two cards, one represented split and the other represented steal. We bet one pen and one pencil. If we both split one would get the pen and the other would get the pencil. If we both stole Grace would get both the pen and pencil and if one of us stole and the other split the one who stole would receive both the pen and pencil.
In the first round we discussed and both agreed to split but of course I stole and Evelyn split so I got both the pen and the pencil. On the second round we both split and so we both got the pen and pencil. In this case there is a dominant strategy and a Nash equilibrium. The dominant strategy would be to steal as this you would either gain two or lose all where as if you split you would either lose all or gain one. The Nash equilibrium would be reached since I would choose steal if I knew Evelyn was going to split since this would benefit me which is what I did in the first round, if she knew that I were going to steal she too would steal as she would not want me to have the upper hand.
I also played another game with Francis which was similar to split and steal as well. If we both chose to steal we would both slap each other 2 times, if one of us steals and the other splits the one who splits gets slapped 3 times by the person who stole and if we both split we only get to slap each other one time.
I also played another game with Francis which was similar to split and steal as well. If we both chose to steal we would both slap each other 2 times, if one of us steals and the other splits the one who splits gets slapped 3 times by the person who stole and if we both split we only get to slap each other one time.
The dominant strategy would be to steal in this case since you would either get slapped twice or non at all and you get to slap your opponent either twice or three times where as if you chose to split you would get slapped either once or three times and you will only get to slap your friend once or none at all. So the Nash equilibrium would be to steal.
A possible game theory matrix would be if me and Francis both agreed that we would room with each other for the Bangkor trip and were to write who we wanted to room with on a piece of paper. We are both in separate rooms when writing who we want to room with. But we have a choice to room with each other or one of the cool kids and increase our total coolness. If we trusted each other then we would write each others name and room with each other but gain no coolness. If one of us chose the cool kid and one of us trusted the other, the one who trusted would end up rooming with Brandon and would decrease in coolness by 100% but if we both distrusted each other we would both end up in the same room with Brandon and only decrease in coolness by 50%.
A possible game theory matrix would be if me and Francis both agreed that we would room with each other for the Bangkor trip and were to write who we wanted to room with on a piece of paper. We are both in separate rooms when writing who we want to room with. But we have a choice to room with each other or one of the cool kids and increase our total coolness. If we trusted each other then we would write each others name and room with each other but gain no coolness. If one of us chose the cool kid and one of us trusted the other, the one who trusted would end up rooming with Brandon and would decrease in coolness by 100% but if we both distrusted each other we would both end up in the same room with Brandon and only decrease in coolness by 50%.
This indeed happened in real life (except I was lucky enough not to room with Brandon) and I was betrayed by Francis. The dominant strategy in this case would be to choose the cool kid as you would either gain 100% coolness or lose 50% where as by trusting the other you would either gain no coolness or lose 100% coolness.