🤑 Spike-based Decision Learning of Nash Equilibria in Two-Player Games

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pyl-thumbnail I came across the Push Your Luck (PYL) blackjack sidebet yesterday (while browsing, not IRL), and I wondered if it was.


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We consider two games, blackjack [10] and the inspector game [11], as examples for which the optimal strategy is either deterministic or.


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The game was based on the card game Blackjack and had three contestants Pyl Goldie Jean Vander Pyl Honeydewmellon Sallie Jones Mrs.


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hand exceeds 21, the Dealer will pay all Buster Blackjack side bets based Players make a “PYL” wager by placing a chip in the circle.


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Your display prompts you for your actions. I wrote up an OpenOffice spreadsheet to calculate the odds. Tagged with: barona. So, as usual, you have to pay some vig to get odds in a blackjack side bet. Imagine if blackjack started at a 0. However, this vig really hurts the low payouts. The decks are shuffled by hand, and loaded into the shoe normally. The house edge on this game is 5. Then I checked a few odds points that would benefit the most from this positive count. Then I plotted the EVs of the main and side bet vs. The only odds that seemed to be true odds were for 14 vs. The progressive pays out when your 20 is beaten by a 7-or-more card dealer I used basic simple strategy and a 6 deck shoe in this analysis. What this means is that as you reach the end of the shoe, the average return of the bad beat side bet decreases very quickly. Well, I did find a roughly bell-shaped distribution of EVs, but I discovered that the average return decreases sharply with the shoe depth. I was expecting the random distribution of cards at the end of the shoe to distribute the EVs around 0. For example, a 14 vs. It gets a lot worse than you think it might, especially at the end of the shoe. This effect is probably due to the fact that you need a lot of perfect cards to make a 7-or-more card dealer Some players might intuitively suspect this, or at least would not be surprised when they see these results. The change from the to the payout on the Royal improved the return from The game uses a human dealer, regular cards, and a modified blackjack table Shuffle Master i-Table. In my session, almost no one took odds. I could tell from the graph that the bet was exploitable. The computer offers you particular odds for winning, based on your total vs. This is a pretty obscure sidebet, which is probably only found at Fort McDowell. Negative Count Shoe Experiments with a -5 count shoe five Tens removed show that the higher odds bets improve more in absolute payouts than for improvements from positive count shoes. So the bet has a typical bonus bet edge of 6. Similarly, a 16 vs.

Normally, the house edge is 4. Post to Cancel.

The table is presented below. You want the bet to have the same average return at the start of the shoe as at the end of the shoe. It has a 2. Experiments with a -5 count shoe five Tens removed show that the higher odds bets improve more in absolute payouts than for improvements from positive count shoes. So I calculated the average profit per shoe, assuming heads-up play with the dealer. These are significant improvements, but I believe that the vig on the higher odds bet are steeper for a reason: to account for this variation. If your hand pushes, the side bet also pushes. That means a player betting a fixed amount on the Royal Match will net an average profit equal to half his bet per shoe, when heads up with the dealer. The offer is made after the dealer peeks for blackjack. This would show me if there was any potential for a counting scheme. Intuitively, the odds improve because fewer Tens in the shoe mean a higher chance of the dealer not having 20, and a better chance for the player to draw to a hand. I recently saw the Instant blackjack side bet, and I thought it was funny. A quick analysis of the odds reveals:. As it worked out, the second idea that came to mind happened to be very effective. Tagged with: sycuan. Search for:. So be careful with this bet. At only a 2. Using a simple true K-Q count, the bet yields an average 5. I then looked for a simple practical counting scheme that would capture most of the theoretical edge. I called across state lines to find out the details, and got out the paper and pencil to calculate the house edge for a six-deck shoe. I saw that a T,4 vs. You have to have a main bet to bet the side bet. I remember seeing this strange bet a while back, and was always curious about it. Of course, I had to see if this bet was countable. This electronic format offers an interesting odds side bet on your starting two-card hand. I played for a few hours, and checked how close the offered side bet was to the true odds. While looking for a counting edge on this side bet, I ran into a very pronounced effect of shoe depth on the bet EV. If you lose the hand, you lose the side bet. The bet is pretty horrible in terms of house edge, but want do you want for a quarter? Yesterday, they increased the payout on the Royal from to The change showed up on the display, so I calculated the improvement. One of the nice features of the Shuffle Master i-Table is that they can change the odds of the bonus side-bets at any time. The above graph shows the big disparity between playing the bonus at a 6-deck shoe game vs. Then, I plotted EV vs. First, I looked at the distribution of EVs after 5 of 6 decks were dealt from the shoe:. I've plotted out some curves to shoe the effect of shoe depth on the bad beat EV. I think this is because in some situations, like 7,7 vs. The worst odds seemed to occur for double and split opportunities, and anything against a dealer 10 or A. So, in the graph below, 0. I wrote a little recursive program to calculate the distribution of dealer busts for a 6-decks shoe, and worked in their paytable. Tagged with: barona , blackjack , chipless , i-table. Blog at WordPress. As usual, these things are interesting, but not practical. I wanted to include the spreadsheet source in this post, but WordPress.