A class of function-space games.

Oliver Alfred Gross

ResearchPublished 1958

A solution to two classes of two-person zero-sum games over function space, arising from a mine- laying and search problem. Any game in either class shares, with all other games in the two classes, a common pure optimal strategy for the maximizer. The games of the first class have saddle points in pure strategies of special character. The second class consists of subgames of the first, obtained by restricting the minimizer's strategies to characteristic functions. In general, these games require mixed strategies for the minimizer, and the value of a game of the first class is strictly less than the value of its subgame in the second class. A solution to two classes of two-person zero-sum games over function space, arising from a mine-laying and search problem. Any game in either class shares, with all other games in the two classes, a common pure optimal strategy for the maximizer. The games of the first class have saddle points in pure strategies of special character. The second class consists of subgames of the first, obtained by restricting the minimizer's strategies to characteristic functions. In general, these games require mixed strategies for the minimizer, and the value of a game of the first class is strictly less than the value of its subgame in the second class. 11 pp.

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  • Year: 1958
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  • Document Number: RM-2265-PR

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Gross, Oliver Alfred, A class of function-space games. RAND Corporation, RM-2265-PR, 1958. As of September 23, 2024: https://www.rand.org/pubs/research_memoranda/RM2265.html
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Gross, Oliver Alfred, A class of function-space games. Santa Monica, CA: RAND Corporation, 1958. https://www.rand.org/pubs/research_memoranda/RM2265.html. Also available in print form.
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