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Strategy-stealing argument
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== Chess == {{Main|First-move advantage in chess}} {{Chess diagram small |tright |Philidor, 1777 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |ql| | | | | | | | | | |kl| | | | | |rd| | | | | | | |kd| | | | | | |Black is in zugzwang, since they must move their rook away from their king. }} There is a class of [[chess]] positions called [[Zugzwang]] in which the player obligated to move would prefer to "pass" if this were allowed. Because of this, the strategy-stealing argument cannot be applied to chess.<ref name="ant">{{citation | last1 = Bishop | first1 = J. M. | last2 = Nasuto | first2 = S. J. | last3 = Tanay | first3 = T. | last4 = Roesch | first4 = E. B. | last5 = Spencer | first5 = M. C. | editor-last = Müller | editor-first = Vincent C. | contribution = HeX and the single anthill: Playing games with Aunt Hillary | doi = 10.1007/978-3-319-26485-1_22 | pages = 369–390 | publisher = Springer | series = Synthese Library | title = Fundamental Issues of Artificial Intelligence | volume = 376 | year = 2016| isbn = 978-3-319-26483-7 | url = https://philpapers.org/archive/BISHAT-3.pdf }}. See in particular Section 22.2.2.2, The Strategy-Stealing Argument, [https://books.google.com/books?id=MZFPDAAAQBAJ&pg=PA376 p. 376].</ref> It is not currently known whether White or Black can force a win with optimal play, or if both players can force a draw. However, virtually all students of chess consider White's first move to be an advantage and White wins more often than black in high-level games.
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