Morris, Peter Introduction to Game Theory

# Introduction to Game Theory

## Morris, Peter

Valutazione media 3,67
( su 6 valutazioni fornite da GoodReads )

This advanced textbook covers the central topics in game theory and provides a strong basis from which readers can go on to more advanced topics. The subject matter is approached in a mathematically rigorous, yet lively and interesting way. New definitions and topics are motivated as thoroughly as possible. Coverage includes the idea of iterated Prisoner's Dilemma (super games) and challenging game-playing computer programs.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti:

1. Games in Extensive Form.- 1.1. Trees.- 1.2. Game Trees.- 1.2.1. Information Sets.- 1.3. Choice Functions and Strategies.- 1.3.1. Choice Subtrees.- 1.4. Games with Chance Moves.- 1.4.1. A Theorem on Payoffs.- 1.5. Equilibrium N-tuples of Strategies.- 1.6. Normal Forms.- 2. Two-Person Zero-Sum Games.- 2.1. Saddle Points.- 2.2. Mixed Strategies.- 2.2.1. Row Values and Column Values.- 2.2.2. Dominated Rows and Columns.- 2.3. Small Games.- 2.3.1. 2 × n and m × 2 Games.- 2.4. Symmetric Games.- 2.4.1. Solving Symmetric Games.- 3. Linear Programming.- 3.1. Primal and Dual Problems.- 3.1.1. Primal Problems and Their Duals.- 3.2. Basic Forms and Pivots.- 3.2.1. Pivots.- 3.2.2. Dual Basic Forms.- 3.3. The Simplex Algorithm.- 3.3.1. Tableaus.- 3.3.2. The Simplex Algorithm.- 3.4. Avoiding Cycles and Achieving Feasibility.- 3.4.1. Degeneracy and Cycles.- 3.4.2. The Initial Feasible Tableau.- 3.5. Duality.- 3.5.1. The Dual Simplex Algorithm.- 3.5.2. The Duality Theorem.- 4. Solving Matrix Games.- 4.1. The Minimax Theorem.- 4.2. Some Examples.- 4.2.1. Scissors-Paper-Stone.- 4.2.2. Three-Finger Morra.- 4.2.3. Colonel Blotto’s Game.- 4.2.4. Simple Poker.- 5. Non-Zero-Sum Games.- 5.1. Noncooperative Games.- 5.1.1. Mixed Strategies.- 5.1.2. Maximin Values.- 5.1.3. Equilibrium N-tuples of Mixed Strategies.- 5.1.4. A Graphical Method for Computing Equilibrium Pairs.- 5.2. Solution Concepts for Noncooperative Games.- 5.2.1. Battle of the Buddies.- 5.2.2. Prisoner’s Dilemma.- 5.2.3. Another Game.- 5.2.4. Supergames.- 5.3. Cooperative Games.- 5.3.1. Nash Bargaining Axioms.- 5.3.2. Convex Sets.- 5.3.3. Nash’s Theorem.- 5.3.4. Computing Arbitration Pairs.- 5.3.5. Remarks.- 6. N-Person Cooperative Games.- 6.1. Coalitions.- 6.1.1. The Characteristic Function.- 6.1.2. Essential and Inessential Games.- 6.2. Imputations.- 6.2.1. Dominance of Imputations.- 6.2.2. The Core.- 6.2.3. Constant-Sum Games.- 6.2.4. A Voting Game.- 6.3. Strategic Equivalence.- 6.3.1. Equivalence and Imputations.- 6.3.2. (0,1)-Reduced Form.- 6.3.3. Classification of Small Games.- 6.4. Two Solution Concepts.- 6.4.1. Stable Sets of Imputations.- 6.4.2. Shapley Values.- 7. Game-Playing Programs.- 7.1. Three Algorithms.- 7.1.1. The Naive Algorithm.- 7.1.2. The Branch and Bound Algorithm.- 7.1.3. The Alpha-Beta Pruning Algorithm.- 7.2. Evaluation Functions.- 7.2.1. Depth-Limited Subgames.- 7.2.2. Mancala.- 7.2.3. Nine-Men’s Morris.- Appendix. Solutions.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

## 1.Introduction to Game Theory (Paperback)

Editore: Springer-Verlag New York Inc., United States (1994)
ISBN 10: 038794284X ISBN 13: 9780387942841
Nuovi Paperback Quantità: 1
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria

Descrizione libro Springer-Verlag New York Inc., United States, 1994. Paperback. Condizione libro: New. 1994 ed.. 231 x 152 mm. Language: English . Brand New Book. This advanced textbook covers the central topics in game theory and provides a strong basis from which readers can go on to more advanced topics. The subject matter is approached in a mathematically rigorous, yet lively and interesting way. New definitions and topics are motivated as thoroughly as possible. Coverage includes the idea of iterated Prisoner s Dilemma (super games) and challenging game-playing computer programs. Codice libro della libreria KNV9780387942841

Compra nuovo
EUR 51,49
Convertire valuta
Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 2.Introduction to Game Theory

Editore: Springer 1994-08 (1994)
ISBN 10: 038794284X ISBN 13: 9780387942841
Nuovi Quantità: 5
Print on Demand
Da
Chiron Media
(Wallingford, Regno Unito)
Valutazione libreria

Descrizione libro Springer 1994-08, 1994. Condizione libro: New. This item is printed on demand. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Codice libro della libreria NU-LSI-06920694

Compra nuovo
EUR 48,64
Convertire valuta
Spese di spedizione: EUR 3,34
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 3.Introduction to Game Theory

ISBN 10: 038794284X ISBN 13: 9780387942841
Nuovi Quantità: 5
Print on Demand
Da
GreatBookPrices
(Columbia, MD, U.S.A.)
Valutazione libreria

Descrizione libro Condizione libro: New. This item is printed on demand. Codice libro della libreria 671482-n

Compra nuovo
EUR 50,79
Convertire valuta
Spese di spedizione: EUR 2,42
In U.S.A.
Destinazione, tempi e costi

## 4.Introduction to Game Theory (Paperback)

Editore: Springer-Verlag New York Inc., United States (1994)
ISBN 10: 038794284X ISBN 13: 9780387942841
Nuovi Paperback Quantità: 1
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria

Descrizione libro Springer-Verlag New York Inc., United States, 1994. Paperback. Condizione libro: New. 1994 ed.. 231 x 152 mm. Language: English . Brand New Book. This advanced textbook covers the central topics in game theory and provides a strong basis from which readers can go on to more advanced topics. The subject matter is approached in a mathematically rigorous, yet lively and interesting way. New definitions and topics are motivated as thoroughly as possible. Coverage includes the idea of iterated Prisoner s Dilemma (super games) and challenging game-playing computer programs. Codice libro della libreria KNV9780387942841

Compra nuovo
EUR 53,28
Convertire valuta
Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 5.Introduction to Game Theory

ISBN 10: 038794284X ISBN 13: 9780387942841
Nuovi Quantità: 1
Da
English-Book-Service Mannheim
(Mannheim, Germania)
Valutazione libreria

Descrizione libro Condizione libro: New. Publisher/Verlag: Springer, Berlin | This is a textbook for a course in the theory of games. It is intended for advanced undergraduates and graduate students in mathematics and other quantitative disciplines, e.g., statistics, operations research, etc. It treats the central topics in game theory and is meant to give students a basis from which they can go on to more advanced topics. The subject matter is approached in a mathematically rigorous way, but , within this constraint, an effort is made to keep it interesting and lively. New definitions and topics are motivated as thoroughly as possible. The mathematical prerequisites for understanding the book are modest: basic probability together with a little calculus and linear algebra. Among others, two topics of great current interest are discussed in this book. The idea of iterated Prisoner&apos;s Dilemma (super games) is considered. It is specially of great interest to biologists, sociologists and others who use it in studying the evolution of cooperative behavior both in nature and in human society. Also covered are challenging game-playing computer programs. | 1. Games in Extensive Form.- 1.1. Trees.- 1.2. Game Trees.- 1.2.1. Information Sets.- 1.3. Choice Functions and Strategies.- 1.3.1. Choice Subtrees.- 1.4. Games with Chance Moves.- 1.4.1. A Theorem on Payoffs.- 1.5. Equilibrium N-tuples of Strategies.- 1.6. Normal Forms.- 2. Two-Person Zero-Sum Games.- 2.1. Saddle Points.- 2.2. Mixed Strategies.- 2.2.1. Row Values and Column Values.- 2.2.2. Dominated Rows and Columns.- 2.3. Small Games.- 2.3.1. 2 × n and m × 2 Games.- 2.4. Symmetric Games.- 2.4.1. Solving Symmetric Games.- 3. Linear Programming.- 3.1. Primal and Dual Problems.- 3.1.1. Primal Problems and Their Duals.- 3.2. Basic Forms and Pivots.- 3.2.1. Pivots.- 3.2.2. Dual Basic Forms.- 3.3. The Simplex Algorithm.- 3.3.1. Tableaus.- 3.3.2. The Simplex Algorithm.- 3.4. Avoiding Cycles and Achieving Feasibility.- 3.4.1. Degeneracy and Cycles.- 3.4.2. The Initial Feasible Tableau.- 3.5. Duality.- 3.5.1. The Dual Simplex Algorithm.- 3.5.2. The Duality Theorem.- 4. Solving Matrix Games.- 4.1. The Minimax Theorem.- 4.2. Some Examples.- 4.2.1. Scissors-Paper-Stone.- 4.2.2. Three-Finger Morra.- 4.2.3. Colonel Blotto&apos;s Game.- 4.2.4. Simple Poker.- 5. Non-Zero-Sum Games.- 5.1. Noncooperative Games.- 5.1.1. Mixed Strategies.- 5.1.2. Maximin Values.- 5.1.3. Equilibrium N-tuples of Mixed Strategies.- 5.1.4. A Graphical Method for Computing Equilibrium Pairs.- 5.2. Solution Concepts for Noncooperative Games.- 5.2.1. Battle of the Buddies.- 5.2.2. Prisoner&apos;s Dilemma.- 5.2.3. Another Game.- 5.2.4. Supergames.- 5.3. Cooperative Games.- 5.3.1. Nash Bargaining Axioms.- 5.3.2. Convex Sets.- 5.3.3. Nash&apos;s Theorem.- 5.3.4. Computing Arbitration Pairs.- 5.3.5. Remarks.- 6. N-Person Cooperative Games.- 6.1. Coalitions.- 6.1.1. The Characteristic Function.- 6.1.2. Essential and Inessential Games.- 6.2. Imputations.- 6.2.1. Dominance of Imputations.- 6.2.2. The Core.- 6.2.3. Constant-Sum Games.- 6.2.4. A Voting Game.- 6.3. Strategic Equivalence.- 6.3.1. Equivalence and Imputations.- 6.3.2. (0,1)-Reduced Form.- 6.3.3. Classification of Small Games.- 6.4. Two Solution Concepts.- 6.4.1. Stable Sets of Imputations.- 6.4.2. Shapley Values.- 7. Game-Playing Programs.- 7.1. Three Algorithms.- 7.1.1. The Naive Algorithm.- 7.1.2. The Branch and Bound Algorithm.- 7.1.3. The Alpha-Beta Pruning Algorithm.- 7.2. Evaluation Functions.- 7.2.1. Depth-Limited Subgames.- 7.2.2. Mancala.- 7.2.3. Nine-Men&apos;s Morris.- Appendix. Solutions. | Format: Paperback | Language/Sprache: english | 360 gr | 252 pp. Codice libro della libreria K9780387942841

Compra nuovo
EUR 54,87
Convertire valuta
Spese di spedizione: EUR 4,00
Da: Germania a: U.S.A.
Destinazione, tempi e costi

## 6.Introduction to Game Theory

Editore: Springer-Verlag New York Inc. (1994)
ISBN 10: 038794284X ISBN 13: 9780387942841
Nuovi Quantità: > 20
Print on Demand
Da
Books2Anywhere
(Fairford, GLOS, Regno Unito)
Valutazione libreria

Descrizione libro Springer-Verlag New York Inc., 1994. PAP. Condizione libro: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria LQ-9780387942841

Compra nuovo
EUR 51,91
Convertire valuta
Spese di spedizione: EUR 10,05
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 7.Introduction to Game Theory

Editore: Springer (1994)
ISBN 10: 038794284X ISBN 13: 9780387942841
Nuovi Paperback Quantità: 1
Da
Herb Tandree Philosophy Books
(Stroud, GLOS, Regno Unito)
Valutazione libreria

Descrizione libro Springer, 1994. Paperback. Condizione libro: NEW. 9780387942841 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0411159

Compra nuovo
EUR 54,06
Convertire valuta
Spese di spedizione: EUR 8,93
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 8.Introduction to Game Theory

Editore: Springer-Verlag New York Inc. (1994)
ISBN 10: 038794284X ISBN 13: 9780387942841
Nuovi Quantità: > 20
Print on Demand
Da
PBShop
(Secaucus, NJ, U.S.A.)
Valutazione libreria

Descrizione libro Springer-Verlag New York Inc., 1994. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IQ-9780387942841

Compra nuovo
EUR 59,98
Convertire valuta
Spese di spedizione: EUR 3,66
In U.S.A.
Destinazione, tempi e costi

## 9.Introduction to Game Theory

Editore: Springer Jul 1994 (1994)
ISBN 10: 038794284X ISBN 13: 9780387942841
Nuovi Taschenbuch Quantità: 2
Valutazione libreria

Descrizione libro Springer Jul 1994, 1994. Taschenbuch. Condizione libro: Neu. 235x155x13 mm. Neuware - This is a textbook for a course in the theory of games. It is intended for advanced undergraduates and graduate students in mathematics and other quantitative disciplines, e.g., statistics, operations research, etc. It treats the central topics in game theory and is meant to give students a basis from which they can go on to more advanced topics. The subject matter is approached in a mathematically rigorous way, but , within this constraint, an effort is made to keep it interesting and lively. New definitions and topics are motivated as thoroughly as possible. The mathematical prerequisites for understanding the book are modest: basic probability together with a little calculus and linear algebra. Among others, two topics of great current interest are discussed in this book. The idea of iterated Prisoner's Dilemma (super games) is considered. It is specially of great interest to biologists, sociologists and others who use it in studying the evolution of cooperative behavior both in nature and in human society. Also covered are challenging game-playing computer programs. 252 pp. Englisch. Codice libro della libreria 9780387942841

Compra nuovo
EUR 51,95
Convertire valuta
Spese di spedizione: EUR 12,00
Da: Germania a: U.S.A.
Destinazione, tempi e costi

## 10.Introduction to Game Theory (Universitext)

Editore: Springer (1994)
ISBN 10: 038794284X ISBN 13: 9780387942841
Nuovi Paperback Quantità: 1
Print on Demand
Da
Ergodebooks
(RICHMOND, TX, U.S.A.)
Valutazione libreria

Descrizione libro Springer, 1994. Paperback. Condizione libro: New. 1994. This item is printed on demand. Codice libro della libreria DADAX038794284X

Compra nuovo
EUR 62,11
Convertire valuta
Spese di spedizione: EUR 3,66
In U.S.A.
Destinazione, tempi e costi