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Your search keyword '"J. W. Mamer"' showing total 2 results
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2 results on '"J. W. Mamer"'

1. On the growth of random knapsacks

Author

J. W. Mamer and Kenneth Schilling

Subjects
Combinatorics, Distribution (mathematics), Knapsack problem, Joint probability distribution, Applied Mathematics, Discrete Mathematics and Combinatorics, Asymptotic distribution, Value (mathematics), Random variable, Mathematics
Abstract

We consider the problem of optimally filling a knapsack of fixed capacity by choosing from among a collection of n objects of randomly determined weight and value. Under very mild conditions on the common joint distribution of weight and value, we determine the asymptotic value of the optimal knapsack, for large n .

Published
1990

2. Finite approximations to a zero-sum game with incomplete information

Author

K. E. Schilling and J. W. Mamer

Subjects
Statistics and Probability, Economics and Econometrics, Mathematical optimization, Decision rule, Extensive-form game, Bayesian game, Mathematics (miscellaneous), Zero-sum game, Example of a game without a value, Complete information, Simulations and games in economics education, Applied mathematics, Statistics, Probability and Uncertainty, Game theory, Social Sciences (miscellaneous), Mathematics
Abstract

In this paper, we investigate a scheme for approximating a two-person zero-sum game G of incomplete information by means of a natural system Gmn of its finite subgames. The main question is: For large m and n, is an optimal strategy for Gmn necessarily an e-optimal strategy for G?

Published
1990

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