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UID:d666a2fa4ff87c80e19d0db2775c13c8
CATEGORIES:Experimental Mathematics Seminar
CREATED:20241010T184239
SUMMARY:Games Played Randomly-Chomp and Nim
LOCATION:https://rutgers.zoom.us/j/91865817691  [password: The 20th Catalan number\,
  alias (40)!/(20!*21!)\, alias 6564120420 ]
DESCRIPTION:<p><em style="color: #000000; font-family: 'Times New Roman'; font-size: me
 dium; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: sta
 rt; text-indent: 0px; text-transform: none; white-space: normal; widows: 2;
  word-spacing: 0px;">Abstract</em>: In this talk, we discuss combinatorial 
 games where both players move randomly (each turn, independently selecting 
 a legal move uniformly at random), and we will emphasize the "experimental 
 math" approach that was the backbone of our results. We provide closed-form
  expressions for the expected number of turns in a game of Chomp with any s
 tarting condition. We also derive and prove formulas for the win probabilit
 ies for any game of Chomp with at most two rows. Additionally, we completel
 y analyze the game of nim under random play by finding the expected number 
 of turns and win probabilities from any starting position. No familiarity w
 ith probability is required, as the talk quickly reduces to studying certai
 n recurrence relations that naturally arise from each game</p>
CONTACT:Pat Devlin and Paulina Trifonova, Swarthmore College
DTSTAMP:20260829T151911
DTSTART;TZID=America/New_York:20241121T170000
DTEND;TZID=America/New_York:20241121T180000
SEQUENCE:0
TRANSP:OPAQUE
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