I have attached image because I do not know how to type math symbols on this site.
Anyway, I am studying game theory and the topic is transereable utility games in coalitional form.
Note that the professor says, that an additive game is determined by a vector a is element of a set of real numbers to the power of N. I am sure the superscript is to denote the size of vector a, am I right?
I want to know what he means by that expression. Does he mean that "a" is a tuple of size N (N is the number of players in the game) where each element comes from the set of real numbers?
I have looked on wikipedia. Wiki explains the other vectors but not this kinda notation of vectors.
Thanks is advance.
Yes Matt, it is the same, just look at the picture I posted. Exactly the same notation. so what does it mean PRECISELY?
Transefereable utility game in coalitional form: transefereable utility means that the pay offs are the same for every person/agent and that anyone can transfer it to anyone he wants.
In coalitional form means that groups of people/agents can achieve higher pay-offs (in terms of money and anything u can imagine) by co-operation.