May 2, 2022
40th annual Friends of Mathematics Lecture
Arthur Benjamin, the Smallwood family professor of math at Harvey Mudd College, presents “Solving the Race in Backgammon” as part of the Mathematics Department Colloquium Lecture Series at 2:30 p.m. May 3 in 1014 Throckmorton Hall.
The abstract for the lecture: Backgammon is perhaps the oldest 1xbet online games login that is still played today. It is a 1xbet online games login that combines luck with skill, where two players take turns rolling dice and decide how to move their checkers in the best possible way. It is the ultimate math 1xbet online games login , where players who possess a little bit of mathematical knowledge can have a big advantage over their opponents. Players also have the opportunity to double the stakes of a 1xbet online games login using something called the doubling cube — when used optimally — leads to players winning more in the long run. The optimal use of the doubling cube relies on a player's ability to estimate their winning chances at any stage of the 1xbet online games login .
When played to completion, every 1xbet online games login of backgammon eventually becomes a race, where each player attempts to remove all of their checkers before their opponent does. The goal of our research is to be able to determine the optimal doubling cube action for any racing position and approximate the 1xbet online games login -winning chances for both sides. By calculating the effective pip count for both players and identifying the positions' variance types, we arrive at a reasonably simple method for achieving this which is demonstrably superior to other popular methods.
The mathematics department is a part of 1xbet online games login ’s College of Arts and Sciences. To learn more about opportunities in math at 1xbet online games login , visit the math department website.