This is an experiment. If this is true, this is tbe simplest explanation of the Nash Equilibrium I have ever read. It needs to be checked. I hope, hope it is the real deal.
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Rob Tyrie
Make a game with a deck of cards based on the Nash equilibrium
Sure! Here's a simple game that utilizes the concept of the Nash equilibrium:
The Game
1. Start by dealing two cards from a standard deck of 52 cards to each player.
2. Each player looks at their two cards and decides whether to play or fold.
3. If both players play, the player with the higher card value wins. If the players have the same value, the game is a tie.
If one player folds, the other player wins automatically.
Nash Equilibrium
In this game, the Nash equilibrium occurs when both players play their cards, because they know that if they both play, the outcome will be determined by the cards they have. If either player folds, they automatically lose. Therefore, the only optimal strategy is to play, resulting in the Nash equilibrium.
Variations
Here are a few ways to vary the game and create different Nash equilibria:
- Use 4 card to the game. In this case, the Nash equilibrium would occur when both players play their cards, because they know that if they both play, the outcome will be determined by the combination of their 4 cards. Turn over a card at once. The reveal may change the outcome. Also 5 cards
- Allow players to bet. In this case, the Nash equilibrium would occur when both players bet the same amount, because they know that if they both bet the same amount, the outcome will be determined by the cards they have and the amount they bet.
These are just two examples, but there are many other ways to create games using the concept of the Nash equilibrium and a deck of cards. The key is to create a situation where both players have an incentive to play their cards, because they know that the outcome will be determined by the cards they have and any additional factors in the game.
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