Matches in SemOpenAlex for { <https://semopenalex.org/work/W4327860173> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W4327860173 abstract "Consider gambler's ruin with three players, 1, 2, and 3, having initial capitals $A$, $B$, and $C$ units. At each round a pair of players is chosen (uniformly at random) and a fair coin flip is made resulting in the transfer of one unit between these two players. Eventually, one of the players is eliminated and play continues with the remaining two. Let $sigmain S_3$ be the elimination order (e.g., $sigma=132$ means player 1 is eliminated first and player 3 is eliminated second, leaving player 2 with $A+B+C$ units). We seek approximations (and exact formulas) for the elimination order probabilities $P_{A,B,C}(sigma)$. Exact, as well as arbitrarily precise, computation of these probabilities is possible when $N:=A+B+C$ is not too large. Linear interpolation can then give reasonable approximations for large $N$. One frequently used approximation, the independent chip model (ICM), is shown to be inadequate. A regression adjustment is proposed, which seems to give good approximations to the elimination order probabilities." @default.
- W4327860173 created "2023-03-20" @default.
- W4327860173 creator A5023142117 @default.
- W4327860173 creator A5050449040 @default.
- W4327860173 date "2020-11-15" @default.
- W4327860173 modified "2023-10-18" @default.
- W4327860173 title "Gambler's Ruin and the ICM" @default.
- W4327860173 doi "https://doi.org/10.48550/arxiv.2011.07610" @default.
- W4327860173 hasPublicationYear "2020" @default.
- W4327860173 type Work @default.
- W4327860173 citedByCount "0" @default.
- W4327860173 crossrefType "posted-content" @default.
- W4327860173 hasAuthorship W4327860173A5023142117 @default.
- W4327860173 hasAuthorship W4327860173A5050449040 @default.
- W4327860173 hasBestOaLocation W43278601731 @default.
- W4327860173 hasConcept C10138342 @default.
- W4327860173 hasConcept C11413529 @default.
- W4327860173 hasConcept C114614502 @default.
- W4327860173 hasConcept C121332964 @default.
- W4327860173 hasConcept C126042441 @default.
- W4327860173 hasConcept C137800194 @default.
- W4327860173 hasConcept C162324750 @default.
- W4327860173 hasConcept C173608175 @default.
- W4327860173 hasConcept C182306322 @default.
- W4327860173 hasConcept C193386753 @default.
- W4327860173 hasConcept C2776175482 @default.
- W4327860173 hasConcept C2778049214 @default.
- W4327860173 hasConcept C28826006 @default.
- W4327860173 hasConcept C33923547 @default.
- W4327860173 hasConcept C41008148 @default.
- W4327860173 hasConcept C45374587 @default.
- W4327860173 hasConcept C62520636 @default.
- W4327860173 hasConcept C76155785 @default.
- W4327860173 hasConceptScore W4327860173C10138342 @default.
- W4327860173 hasConceptScore W4327860173C11413529 @default.
- W4327860173 hasConceptScore W4327860173C114614502 @default.
- W4327860173 hasConceptScore W4327860173C121332964 @default.
- W4327860173 hasConceptScore W4327860173C126042441 @default.
- W4327860173 hasConceptScore W4327860173C137800194 @default.
- W4327860173 hasConceptScore W4327860173C162324750 @default.
- W4327860173 hasConceptScore W4327860173C173608175 @default.
- W4327860173 hasConceptScore W4327860173C182306322 @default.
- W4327860173 hasConceptScore W4327860173C193386753 @default.
- W4327860173 hasConceptScore W4327860173C2776175482 @default.
- W4327860173 hasConceptScore W4327860173C2778049214 @default.
- W4327860173 hasConceptScore W4327860173C28826006 @default.
- W4327860173 hasConceptScore W4327860173C33923547 @default.
- W4327860173 hasConceptScore W4327860173C41008148 @default.
- W4327860173 hasConceptScore W4327860173C45374587 @default.
- W4327860173 hasConceptScore W4327860173C62520636 @default.
- W4327860173 hasConceptScore W4327860173C76155785 @default.
- W4327860173 hasLocation W43278601731 @default.
- W4327860173 hasOpenAccess W4327860173 @default.
- W4327860173 hasPrimaryLocation W43278601731 @default.
- W4327860173 hasRelatedWork W1978042415 @default.
- W4327860173 hasRelatedWork W2007627123 @default.
- W4327860173 hasRelatedWork W2017331178 @default.
- W4327860173 hasRelatedWork W2054901871 @default.
- W4327860173 hasRelatedWork W2145484932 @default.
- W4327860173 hasRelatedWork W2161295375 @default.
- W4327860173 hasRelatedWork W2410300054 @default.
- W4327860173 hasRelatedWork W2976797620 @default.
- W4327860173 hasRelatedWork W3044811636 @default.
- W4327860173 hasRelatedWork W3086542228 @default.
- W4327860173 isParatext "false" @default.
- W4327860173 isRetracted "false" @default.
- W4327860173 workType "article" @default.