It takes the average reader 2 hours and 34 minutes to read Balanced Silverman Games on General Discrete Sets by Gerald A. Heuer
Assuming a reading speed of 250 words per minute. Learn more
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.
Balanced Silverman Games on General Discrete Sets by Gerald A. Heuer is 149 pages long, and a total of 38,591 words.
This makes it 50% the length of the average book. It also has 47% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 3 hours and 30 minutes to read Balanced Silverman Games on General Discrete Sets aloud.
Balanced Silverman Games on General Discrete Sets is suitable for students ages 10 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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