On the distribution of winners’ scores in a round-robin tournament

Simple item page
dc.contributor.authorMalinovsky, Yaakov
dc.date.accessioned2023-10-30T14:24:32Z
dc.date.available2023-10-30T14:24:32Z
dc.date.issued2021-08-06
dc.description.abstractIn a classical chess round-robin tournament, each of 𝒏 players wins, draws, or loses a game against each of the other 𝒏 − 1 players. A win rewards a player with 1 points, a draw with ½ point, and a loss with 0 points. We are interested in the distribution of the scores associated with ranks of 𝒏 players after (ⁿ⁄₂) games, that is, the distribution of the maximal score, second maximum, and so on. The exact distribution for a general 𝒏 seems impossible to obtain; we obtain a limit distribution.en_US
dc.description.sponsorshipI thank Abram Kagan for describing a score issue in chess round-robin tournaments with draws. I am grateful to Pavel Chigansky for pointing out my mistake in Malinovsky (2021a). It led to exciting research that resulted in a correction (Malinovsky, 2021b) and is presented in this version. I also thank Sheldon Ross for referring to his recent paper that turned out to be essential in the proof of the main result in this work. This research was supported by grant no 2020063 from the United States-Israel Binational Science Foundation (BSF).en_US
dc.description.urihttps://www.cambridge.org/core/journals/probability-in-the-engineering-and-informational-sciences/article/abs/on-the-distribution-of-winners-scores-in-a-roundrobin-tournament/6B7D2FC12A87CD0B685F21940C5D3646en_US
dc.format.extent9 pagesen_US
dc.genrejournal articlesen_US
dc.genrepreprintsen_US
dc.identifierdoi:10.13016/m2v6va-bt8i
dc.identifier.citationMalinovsky, Yaakov. “On the Distribution of Winners’ Scores in a Round-Robin Tournament.” Probability in the Engineering and Informational Sciences 36, no. 4 (October 2022): 1098–1102. https://doi.org/10.1017/S0269964821000267.en_US
dc.identifier.urihttps://doi.org/10.1017/S0269964821000267
dc.identifier.urihttp://hdl.handle.net/11603/30442
dc.language.isoen_USen_US
dc.publisherCambridge University Pressen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics Department Collection
dc.relation.ispartofUMBC Faculty Collection
dc.rightsThis article has been published in a revised form in Probability in the Engineering and Informational Sciences https://doi.org/10.1017/S0269964821000267. This version is free to view and download for private research and study only. Not for re-distribution or re-use. © The Author(s), 2021. Published by Cambridge University Press.en_US
dc.titleOn the distribution of winners’ scores in a round-robin tournamenten_US
dc.typeTexten_US
dcterms.creatorhttps://orcid.org/0000-0003-2888-674Xen_US

Files

Original bundle

Now showing 1 - 2 of 2
Thumbnail Image
Name:
2201.05018b.pdf
Size:
292.54 KB
Format:
Adobe Portable Document Format
Description:
Download
Thumbnail Image
Name:
correction-to-on-the-distribution-of-winners-scores-in-a-round-robin-tournament.pdf
Size:
166.82 KB
Format:
Adobe Portable Document Format
Download

License bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
license.txt
Size:
2.56 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

UMBC Mathematics and Statistics Department
UMBC Faculty Collection