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Titlebook: Balanced Silverman Games on General Discrete Sets; Gerald A. Heuer,Ulrike Leopold-Wildburger Book 1991 Springer-Verlag Berlin Heidelberg 1

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發(fā)表于 2025-3-21 18:14:18 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Balanced Silverman Games on General Discrete Sets
影響因子2023Gerald A. Heuer,Ulrike Leopold-Wildburger
視頻videohttp://file.papertrans.cn/181/180447/180447.mp4
學(xué)科分類Lecture Notes in Economics and Mathematical Systems
圖書封面Titlebook: Balanced Silverman Games on General Discrete Sets;  Gerald A. Heuer,Ulrike Leopold-Wildburger Book 1991 Springer-Verlag Berlin Heidelberg 1
影響因子A Silverman game is a two-person zero-sum game defined in terms of two sets S I and S II of positive numbers, and two parameters, the threshold T > 1 and the penalty v > 0. Players I and II independently choose numbers from S I and S II, respectively. The higher number wins 1, unless it is at least T times as large as the other, in which case it loses v. Equal numbers tie. Such a game might be used to model various bidding or spending situations in which within some bounds the higher bidder or bigger spender wins, but loses if it is overdone. Such situations may include spending on armaments, advertising spending or sealed bids in an auction. Previous work has dealt mainly with special cases. In this work recent progress for arbitrary discrete sets S I and S II is presented. Under quite general conditions, these games reduce to finite matrix games. A large class of games are completely determined by the diagonal of the matrix, and it is shown how the great majority of these appear to have unique optimal strategies. The work is accessible to all who are familiar with basic noncooperative game theory.
Pindex Book 1991
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0075-8442 mpletely determined by the diagonal of the matrix, and it is shown how the great majority of these appear to have unique optimal strategies. The work is accessible to all who are familiar with basic noncooperative game theory.978-3-540-54372-5978-3-642-95663-8Series ISSN 0075-8442 Series E-ISSN 2196-9957
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Spezifische Sicherheitskonzepte,educe to 2 by 2 games of type A’, as implied by Theorem 10.2. They are numbers 7, 19, 31 and 48. The four having diagonals — x 0 y +, numbers 24, 28, 41 and 45, reduce to 3 by 3, as implied by Theorem 8.1.
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Book 1991and the penalty v > 0. Players I and II independently choose numbers from S I and S II, respectively. The higher number wins 1, unless it is at least T times as large as the other, in which case it loses v. Equal numbers tie. Such a game might be used to model various bidding or spending situations
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發(fā)表于 2025-3-23 06:54:35 | 只看該作者
5 , 5 ,educe to 2 by 2 games of type A’, as implied by Theorem 10.2. They are numbers 7, 19, 31 and 48. The four having diagonals — x 0 y +, numbers 24, 28, 41 and 45, reduce to 3 by 3, as implied by Theorem 8.1.
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