Introducing game theory and its applications. (2016)

• Record Type: Book
• Further Information: Note: Elliott Mendelson.
• Authors: Mendelson, Elliott
• Contents: Introduction; ; COMBINATORIAL GAMES; ; Definition of Combinatorial Game; The Fundamental Theorem for Combinatorial Games; Nim; Hex and Other Games; Tree Games; Grundy Functions; Bogus Nim-Sums; ; TWO-PERSON ZERO-SUM GAMES; ; Games in Normal Form; Saddle Points and Equilibrium Pairs; Maximin and Minimax; Mixed Strategies; 2 x 2 Matrix Games; 2 x n, m x 2, and 3 x 3 Matrix Games; Linear Programming. Von Neumann's Theorem; ; THE SIMPLEX METHOD. THE FUNDAMENTAL THEOREM OF DUALITY. SOLUTION OF TWO-PERSON ZERO-SUM GAMES; ; Slack Variables. Perfect Canonical Linear Programming Problems; The Simplex Method; Pivoting; The Perfect Phase of the Simplex Method; The Big M Method; Bland's Rules to Prevent Cycling; Duality and the Simplex Method; Solution of Game Matrices; Proofs of Facts 1-4; ; NON-ZERO-SUM GAMES AND k-PERSON GAMES; ; The General Setting; Nash Equilibria; Graphical Method for Finding Nash Equilibria for 2 ´ 2 Matrices; Inadequacies of Nash Equilibria in Non-Zero-Sum Games. Cooperative Games; The Nash Arbitration Procedure; Games with Two or More Players; Coalitions; Games in Coalition Form; The Shapley Value; Strategic Equivalence; Stable Sets; ; APPENDICES; Finite Probability Theory; Utility Theory; Nash's Theorem; Answers to Selected Exercises; Bibliography; ; INDEX
• Edition: 1st
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2016
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 519.3; Game theory
• Languages: English
• ISBNs: 9781482285871
• Notes: Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.