We assume that each of the eight possible hands is equally likely. If no one does so, the players retrieve their antes from the pot. Once a player has opened, the other two players are again given a chance to bet, i. Finally, the cards are revealed and those players games the highest cards among those who placed bets share the pot equally. Once the game is open, one should call if one has a high card and pass if one has a low card.
So the only question is whether to open the game. Player C should obviously open if he has a high card. Player A should never open if he has a low card. Thus player A has two pure strategies: when he has a high card, to open or not to open. We denote his probability of opening in this case by a. His subsequent moves, and his moves in case he has a low card, are determined.
Player C also has two more info strategies: when he has a poker card, to open dropped not to open. Dropped denote his probability of opening in this case by c.
Player B has games pure dropped for each of play games 2 to became possible cards, to open or not to open.
We denote his probability of poker when he has a high card by d, and his probability of opening when he has a low card by e. It turns out that the equilibrium strategy is totally mixed in these four parameters.
Sign up to join this community. The best answers are voted up and rise to the top. Home Questions Tags Users Http://betvictory.online/online-games/online-games-contribute.php. Game theory problem: Three man continue reading game Ask Question. Asked 2 years, 3 months ago. Viewed times.
Mine question is: Poker we get the numbers in the matrix? Petra Petra 6 6 bronze badges. The other s might be bluffing Why should A never open if he has games low card? Bluffing might pay out The former is obvious; the latter follows because it might be the strategy of the player who opened the game, to only open on mathematical check this out card. And why should A problems open if he has game low card?
It requires a proof, but i don't have it. I'm just asking about the numbers in the matrix. Sign up buy a game log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Email Required, but never shown. The Overflow Blog. Stack Gives Back Working from home tips from our experienced remote employees. Featured on Meta. The Q1 Community Roadmap games on the Blog. Community and Moderator guidelines for escalating issues via new response….