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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Silverman's game ： ウィキペディア英語版 Silverman's game In game theory, Silverman's game is a zero sum game played on the unit square. It is named for David Silverman. It is played by two players on a given set ''S'' of positive real numbers. Before play starts, a threshold $T$ and penalty $\backslash nu$ are chosen with and 1 < ''T'' < ∞ Each player chooses an element of ''S''. Without loss of generality, suppose player A plays ''x'' and player B plays ''y'', with ''x'' > ''y''. Then the payoff to A is 1 if 1 < ''x''/''y'' < ''T'' and $-\backslash nu$ if ''x''/''y'' > ''T''; equal numbers involve zero payoff. Thus each player seeks to choose the larger number, but there is a penalty of $\backslash nu$ for choosing too large a number. ==References== * R. J. Evans 1979. ''Silverman's game on intervals''. American Mathematical Monthly, volume 86, number 4, pp. 277–281. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Silverman's game」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.