Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

A game with no winners

  1. Aug 19, 2005 #1
    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 wich nobody wins)...
  2. jcsd
  3. Aug 19, 2005 #2

    matt grime

    User Avatar
    Science Advisor
    Homework Helper

    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?
  4. Aug 19, 2005 #3


    User Avatar
    Homework Helper

    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...
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: A game with no winners