Is There a Point of Equilibrium in a Game with No Winners?

[eljose]

A game with no winners...

let,s use some of game theory...let,s suppose we have a game played by n players with k parameters given by the function U(p1,p2,...pk) so we get that there exist a point of equilibrium dU(p1,...pk)=0 so nobody wins could exist that equilibrium...(my question is if there is an state of equilibrium in a game in which nobody wins)...

 

[matt grime]

Well, it's hard to understand you but the answer appears to be

1. of course there are (eg agame that costs 1 dollar to play on the first turn and is free afterwards and where all players obtain 0 dollars with probability 1 on every turn for one of an infinite number of examples).

2. what has this got to do with calculus and analysis?

 

[TD]

When I read this I immediately had to think of Nash's contribution to the Game Theory, with his Nash Equilibrium. Perhaps this or this helps...