skip to content
A gentle introduction to game theory Preview this item
ClosePreview this item
Checking...

A gentle introduction to game theory

Author: Saul Stahl; American Mathematical Society.
Publisher: Providence, R.I. : American Mathematical Society, 1999.
Series: Mathematical world, v. 13.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"The mathematical theory of games was first developed as a model for situations of conflict, whether actual or recreational. It gained widespread recognition when it was applied to the theoretical study of economics by von Neumann and Morgenstern in Theory of Games and Economic Behavior in the 1940s. The later bestowal in 1994 of the Nobel Prize in economics on Nash underscores the important role this theory has  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Document Type: Book
All Authors / Contributors: Saul Stahl; American Mathematical Society.
ISBN: 0821813390 9780821813393
OCLC Number: 39800563
Description: xii, 176 pages : illustrations ; 26 cm.
Contents: The formal definitions --
Optimal responses to specific strategies --
The maximin strategy --
The minimax strategy --
Solutions of zero-sum games --
2 x n and m x 2 games --
Dominance --
Symmetric games --
Poker-like games --
Pure maximin and minimax strategies --
Pure nonzero-sum games --
Mixed strategies for nonzero-sum games --
Finding mixed Nash equilibria for 2 x 2 nonzero-sum games.
Series Title: Mathematical world, v. 13.
Responsibility: Saul Stahl.

Abstract:

The mathematical theory of games gained widespread recognition when it was applied to the theoretical study of economics by von Neumann and Morgenstern in Theory of Games and Economic Behavior in the  Read more...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/39800563> # A gentle introduction to game theory
    a schema:CreativeWork, schema:Book ;
   library:oclcnum "39800563" ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/20797615#Place/providence_r_i> ; # Providence, R.I.
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/riu> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/20797615#Topic/modeles_mathematiques> ; # Modèles mathématiques
   schema:about <http://experiment.worldcat.org/entity/work/data/20797615#Topic/speltheorie> ; # Speltheorie
   schema:about <http://experiment.worldcat.org/entity/work/data/20797615#Topic/theorie_jeu> ; # théorie jeu
   schema:about <http://experiment.worldcat.org/entity/work/data/20797615#Topic/strategie_optimale> ; # stratégie optimale
   schema:about <http://id.worldcat.org/fast/937501> ; # Game theory
   schema:about <http://dewey.info/class/519.3/e21/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/20797615#Topic/jeux_theorie_des> ; # Jeux, Théorie des
   schema:bookFormat bgn:PrintBook ;
   schema:contributor <http://experiment.worldcat.org/entity/work/data/20797615#Organization/american_mathematical_society> ; # American Mathematical Society.
   schema:creator <http://viaf.org/viaf/41986435> ; # Saul Stahl
   schema:datePublished "1999" ;
   schema:description "The formal definitions -- Optimal responses to specific strategies -- The maximin strategy -- The minimax strategy -- Solutions of zero-sum games -- 2 x n and m x 2 games -- Dominance -- Symmetric games -- Poker-like games -- Pure maximin and minimax strategies -- Pure nonzero-sum games -- Mixed strategies for nonzero-sum games -- Finding mixed Nash equilibria for 2 x 2 nonzero-sum games."@en ;
   schema:description ""The mathematical theory of games was first developed as a model for situations of conflict, whether actual or recreational. It gained widespread recognition when it was applied to the theoretical study of economics by von Neumann and Morgenstern in Theory of Games and Economic Behavior in the 1940s. The later bestowal in 1994 of the Nobel Prize in economics on Nash underscores the important role this theory has played in the intellectual life of the twentieth century. This volume is based on courses given by the author at the University of Kansas. The exposition is "gentle" because it requires only some knowledge of coordinate geometry; linear programming is not used. It is "mathematical" because it is more concerned with the mathematical solution of games than with their applications. Existing textbooks on the topic tend to focus either on the applications or on the mathematics at a level that makes the works inaccessible to most non-mathematicians. This book nicely fits in between these two alternatives. It discusses examples and completely solves them with tools that require no more than high school algebra. In this text, proofs are provided for both von Neumann's Minimax Theorem and the existence of the Nash Equilibrium in the 2 x 2 case. Readers will gain both a sense of the range of applications and a better understanding of the theoretical framework of these two deep mathematical concepts."--Book jacket."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/20797615> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/20797615#Series/mathematical_world> ; # Mathematical world ;
   schema:name "A gentle introduction to game theory"@en ;
   schema:productID "39800563" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/39800563#PublicationEvent/providence_r_i_american_mathematical_society_1999> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/20797615#Agent/american_mathematical_society> ; # American Mathematical Society
   schema:workExample <http://worldcat.org/isbn/9780821813393> ;
   umbel:isLike <http://bnb.data.bl.uk/id/resource/GB9953655> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/39800563> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/20797615#Agent/american_mathematical_society> # American Mathematical Society
    a bgn:Agent ;
   schema:name "American Mathematical Society" ;
    .

<http://experiment.worldcat.org/entity/work/data/20797615#Organization/american_mathematical_society> # American Mathematical Society.
    a schema:Organization ;
   schema:name "American Mathematical Society." ;
    .

<http://experiment.worldcat.org/entity/work/data/20797615#Place/providence_r_i> # Providence, R.I.
    a schema:Place ;
   schema:name "Providence, R.I." ;
    .

<http://experiment.worldcat.org/entity/work/data/20797615#Series/mathematical_world> # Mathematical world ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/39800563> ; # A gentle introduction to game theory
   schema:name "Mathematical world ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/20797615#Topic/jeux_theorie_des> # Jeux, Théorie des
    a schema:Intangible ;
   schema:name "Jeux, Théorie des"@en ;
   schema:name "Jeux, Théorie des"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/20797615#Topic/modeles_mathematiques> # Modèles mathématiques
    a schema:Intangible ;
   schema:name "Modèles mathématiques"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/20797615#Topic/strategie_optimale> # stratégie optimale
    a schema:Intangible ;
   schema:name "stratégie optimale"@en ;
    .

<http://id.worldcat.org/fast/937501> # Game theory
    a schema:Intangible ;
   schema:name "Game theory"@en ;
    .

<http://viaf.org/viaf/41986435> # Saul Stahl
    a schema:Person ;
   schema:familyName "Stahl" ;
   schema:givenName "Saul" ;
   schema:name "Saul Stahl" ;
    .

<http://worldcat.org/isbn/9780821813393>
    a schema:ProductModel ;
   schema:isbn "0821813390" ;
   schema:isbn "9780821813393" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.