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

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In summary, the conversation discusses the use of game theory and the existence of a point of equilibrium where nobody wins in a game with multiple players and parameters. The concept of Nash Equilibrium is also mentioned as a possible solution.
  • #1
eljose
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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)...
 
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  • #2
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?
 
  • #3
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...
 

What is "A game with no winners"?

"A game with no winners" refers to a type of game where there is no clear winner or loser. It is often used as a metaphor for situations where all parties involved ultimately end up losing.

What are some examples of "A game with no winners"?

Examples of "A game with no winners" can include situations where there is competition or conflict among individuals or groups, but all parties ultimately suffer negative consequences. This can also refer to games or activities where the goal is not to win, but rather to simply participate and have fun.

Why is "A game with no winners" important to study?

Studying "A game with no winners" can provide insights into human behavior and relationships. It can also help us understand the consequences of competition and conflict, and how to promote cooperation and collaboration instead.

Can "A game with no winners" have positive outcomes?

Yes, "A game with no winners" can have positive outcomes in certain situations. For example, it can promote teamwork and cooperation, and can also lead to personal growth and learning. In some cases, it may also help to avoid negative consequences that can arise from overly competitive situations.

How can we apply the concept of "A game with no winners" in real life?

The concept of "A game with no winners" can be applied in various contexts, such as in relationships, business, and social interactions. By understanding the potential negative consequences of competition and conflict, we can strive to find win-win solutions and promote cooperation and collaboration instead.

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