Bohnenblust, H. F. (Henri Frédéric) 1906
Overview
Works:  14 works in 56 publications in 1 language and 202 library holdings 

Roles:  Author, Editor 
Classifications:  QA1, 512.8 
Publication Timeline
.
Most widely held works by
H. F Bohnenblust
Contributions to the theory of games by
Harry Waldo Kuhn(
Book
)
25 editions published between 1950 and 1985 in English and held by 109 WorldCat member libraries worldwide
25 editions published between 1950 and 1985 in English and held by 109 WorldCat member libraries worldwide
Lectures on theory of functions of real variables, 19361937 by
H. F Bohnenblust(
Book
)
15 editions published between 1937 and 1979 in English and held by 62 WorldCat member libraries worldwide
15 editions published between 1937 and 1979 in English and held by 62 WorldCat member libraries worldwide
On the absolute convergence of Dirichlet series by
H.F Bohnenblust(
Book
)
4 editions published in 1931 in English and held by 10 WorldCat member libraries worldwide
4 editions published in 1931 in English and held by 10 WorldCat member libraries worldwide
Reconnaissance in game theory by
H. F Bohnenblust(
Book
)
1 edition published in 1949 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1949 in English and held by 4 WorldCat member libraries worldwide
Contributions to the theory of games by
Harry Waldo Kuhn(
Book
)
2 editions published in 1950 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1950 in English and held by 3 WorldCat member libraries worldwide
Reflections of past GRE Board Chairmen by
H. F Bohnenblust(
Book
)
1 edition published in 1970 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1970 in English and held by 2 WorldCat member libraries worldwide
GAMES WITH CONTINUOUS, CONVEX PAYOFF(
Book
)
1 edition published in 1949 in English and held by 1 WorldCat member library worldwide
In the 'normal form' of a twoperson, zerosum game, as the theory has been set forth by von Neumann, there are just two moves. They are the choices of strategy, made simultaneously by each player. One player is then required to pay to the other an amount (positive or negative) determined by the payoff function, which is a function only of the strategychoices. The theory is best known at present for games in which the number of strategies available to each player is finite. This paper will explore a rather special class of games in which the strategies of one player form a compact and convex region B of finitedimensional Euclidean space, while those of the other form an arbitrary set A. (Author)
1 edition published in 1949 in English and held by 1 WorldCat member library worldwide
In the 'normal form' of a twoperson, zerosum game, as the theory has been set forth by von Neumann, there are just two moves. They are the choices of strategy, made simultaneously by each player. One player is then required to pay to the other an amount (positive or negative) determined by the payoff function, which is a function only of the strategychoices. The theory is best known at present for games in which the number of strategies available to each player is finite. This paper will explore a rather special class of games in which the strategies of one player form a compact and convex region B of finitedimensional Euclidean space, while those of the other form an arbitrary set A. (Author)
A simple threeperson poker game by
John F Nash(
Book
)
1 edition published in 1950 in English and held by 1 WorldCat member library worldwide
"A three person zerosum poker game is considered, in which one card is dealt to each player. The deck contains only two kinds of cards, high and low, and the eight possible deals are equally likely. There is an ante #? and a fixed size of bet #? If any player bets, the other two have an opportunity to call. No raises are permitted. Equilibrium points are obtained for all possible values of #? for #a \leq b #? there is a unique equilibrium point; for #a #? the situation is more complicated. The method of solution is sketched."
1 edition published in 1950 in English and held by 1 WorldCat member library worldwide
"A three person zerosum poker game is considered, in which one card is dealt to each player. The deck contains only two kinds of cards, high and low, and the eight possible deals are equally likely. There is an ante #? and a fixed size of bet #? If any player bets, the other two have an opportunity to call. No raises are permitted. Equilibrium points are obtained for all possible values of #? for #a \leq b #? there is a unique equilibrium point; for #a #? the situation is more complicated. The method of solution is sketched."
On the absolute convergence of Dirchlet series by
H. F Bohnenblust(
Book
)
1 edition published in 1931 in English and held by 1 WorldCat member library worldwide
1 edition published in 1931 in English and held by 1 WorldCat member library worldwide
Theory of functions of real variables : lectures by H.F. Bohnenblust at Princeton University, 19361937 by
H. F Bohnenblust(
)
1 edition published in 1938 in English and held by 1 WorldCat member library worldwide
1 edition published in 1938 in English and held by 1 WorldCat member library worldwide
SOLUTIONS OF DISCRETE, TWOPERSON GAMES(
Book
)
1 edition published in 1949 in English and held by 1 WorldCat member library worldwide
This paper proposes to investigate the structure of solutions of discrete, zerosum, twoperson games. For a finite gamematrix it is well known that a solution (i.e., a pair of frequency distributions describing the optimal mixed strategies of the two players) always exists. Moreover, the set of solutions is known to be a convex polyhedron, each of whose vertices corresponds to a submatrix with special properties. In Part I of the paper a fundamental relationship between the dimensions of the sets of optimal strategies is proven, and devote particular attention to the set of games whose solutions are unique. Part II solves the problem of constructing a gamematrix with a given solution. A number of examples and geometrical arguments are interspersed to illustrate the theory, and Part III describes the solutions of some matrices with special diagonal properties
1 edition published in 1949 in English and held by 1 WorldCat member library worldwide
This paper proposes to investigate the structure of solutions of discrete, zerosum, twoperson games. For a finite gamematrix it is well known that a solution (i.e., a pair of frequency distributions describing the optimal mixed strategies of the two players) always exists. Moreover, the set of solutions is known to be a convex polyhedron, each of whose vertices corresponds to a submatrix with special properties. In Part I of the paper a fundamental relationship between the dimensions of the sets of optimal strategies is proven, and devote particular attention to the set of games whose solutions are unique. Part II solves the problem of constructing a gamematrix with a given solution. A number of examples and geometrical arguments are interspersed to illustrate the theory, and Part III describes the solutions of some matrices with special diagonal properties
Lectures by
H. F Bohnenblust(
Book
)
1 edition published in 1938 in English and held by 1 WorldCat member library worldwide
1 edition published in 1938 in English and held by 1 WorldCat member library worldwide
ON A THEOREM OF VILLE(
Book
)
1 edition published in 1949 in English and held by 1 WorldCat member library worldwide
Among the several procedures which lead to the existence of the value of a discrete two persons, zero sum game one is based on a theorem of Ville and another one is based on a fix point theorem of Kakutani. In the present paper these two theorems are extended under certain conditions to infinite dimensional spaces. The results are useful tools in the theory of nondiscrete games
1 edition published in 1949 in English and held by 1 WorldCat member library worldwide
Among the several procedures which lead to the existence of the value of a discrete two persons, zero sum game one is based on a theorem of Ville and another one is based on a fix point theorem of Kakutani. In the present paper these two theorems are extended under certain conditions to infinite dimensional spaces. The results are useful tools in the theory of nondiscrete games
Lectures on theory of functions of real variables, 193637 by
Henri Frederic Bohnenblust(
Book
)
1 edition published in 1938 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1938 in English and held by 0 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
Alternative Names
Bohnenblust, H. F.
Bohnenblust, H. Frédéric 1906
Bohnenblust, Henri F. 1906
Frederic Bohnenblust Swiss American mathematician
Languages
Covers