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I'm searching for a copy of an old paper made by Edmund Landau:

Zur relativen Wertbemessung der Turnierresultate, Deutsches Wochenschach, 11. Jahrgang (1895), 366–369.

However, I can't find it anywhere. I looked at some old books written by Landau and did not succeed in my quest.

The Princeton University has the volume 50-1895 of the magazine "Deutsche Schachzeitung" where this paper should appear: HathiTrust record.

Landau published this early work in a Chess magazine. However, it seems to be that paper has several implications in the theory of Ranking and positive matrices and worked as a motivation for the next works of Landau.

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    $\begingroup$ Perhaps you can find help from a librarian. Tracking down old materials is part of their expertise. $\endgroup$
    – Ovi
    Commented Aug 11, 2020 at 16:21
  • $\begingroup$ I'm thinking about that. Perhaps some big and old library has the book where this article was published. However, I don't know how can I achieve that. I'm just a student in Brazil. $\endgroup$
    – daemon
    Commented Aug 11, 2020 at 16:47
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    $\begingroup$ Right, but I think your university librarians might have a way to help. Libraries are often part of international networks which allow them to share books with each other. One such network is WorldCat worldcat.org You can try going through them yourself, but in any case, remember that librarians have masters or PhD's in Library Science, so they really know a lot. $\endgroup$
    – Ovi
    Commented Aug 11, 2020 at 17:19
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    $\begingroup$ You probably know this already, but E. Landau seems to have written more about the topic in "Zeitschrift für Mathematik und Physik“ , vol. 63, pages 192-208. That is one famous issue because of a certain A. Einstein a few pages later. $\endgroup$
    – user114668
    Commented Aug 11, 2020 at 23:11
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    $\begingroup$ You could also try to ask at chess.stackexchange.com , $\endgroup$
    – Dag Oskar Madsen
    Commented Oct 13, 2020 at 18:01

3 Answers 3

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The paper which actually was Landau's first scientific paper written at the tender age of 18, was published in his Collected Works, vol. 1. In it, he proposes to rank chess players having played a round robin tournament according to an eigenvector of the results matrix.

https://books.google.nl/books?id=rDr8AmfYCFkC&pg=PA366

A much more comprehensive analysis of this method with the help of the (then new) Perron-Frobenius theorem is given in his 1915 paper "Über Preisverteilung bei Spielturnieren". It was published in the "Zeitschrift für Mathematik und Physik", vol. 63, p.192. See link below.

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  • $\begingroup$ It seems very hard to get a copy from this Collected Works . But I'm happy now with this 1915 paper. Thanks. It's sad, those papers deserves an english translation. $\endgroup$
    – daemon
    Commented Nov 30, 2021 at 2:02
  • $\begingroup$ The introduction of his 1915 paper is a restatement of his earlier paper, i.e. the proposal to rate the players according to an eigenvector of the results matrix, which in chess contains the values 1, 1/2 and 0. In §1 he says that all is well if the results matrix is irreducible. §2 shows the possibility of a nonunique rating if the matrix is reducible. In §3 he shows that in certain cases inconsistencies can occur, namely that the score of a player can decrease if the outcome of a certain match is changed in his or her favor, which ultimately leads him to reject his own method. $\endgroup$
    – Jan Peter Schäfermeyer
    Commented Nov 30, 2021 at 13:27
  • $\begingroup$ The link no longer works, but judging from the Wayback Machine, it was a link to Zeitschrift für Mathematik und Physik. Tome 63. $\endgroup$
    – Martin Sleziak
    Commented Jul 10 at 8:13
  • $\begingroup$ Yes, on page 192. Thanks for the correction. $\endgroup$
    – Jan Peter Schäfermeyer
    Commented Jul 12 at 12:48
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This volume (1895) of Deutsches Wochenschach has been digitised by Google books. You will find the digital copy at part 25, page 366.

https://books.google.nl/books?id=rDr8AmfYCFkC

As pointed out by @esg in the comments.

A working link for

  • Landau, Edmund (1915), "Über Preisverteilung bei Spielturnieren" in Zeitschrift für Mathematik und Physik, 63: 192–202

can be found here:

https://lillonum.univ-lille.fr/s/lillonum/ark:/72505/bIVFka

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If you have an account in springer you can see here:

https://link.springer.com/chapter/10.1007%2F978-1-4615-4819-5_23

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  • $\begingroup$ It's a great compendium about some works of E. Landau. However, "Zur relativen Wertbemessung der Turnierresultate" was not published in this chapter $\endgroup$
    – daemon
    Commented Nov 30, 2021 at 1:54

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