| Edition |
[3d ed.]. |
| Description |
641 pages illustrations 25 cm |
| Bibliography |
Includes bibliographical references and index. |
| Contents |
Part I. Formulation of the Economic Problem -- 1. The Mathematical Method in Economics -- 2. Qualitative Discussion of the Problem of Rational Behavior -- 3. The Notion of Utility -- 4. Structure of the Theory: Solutions and Standards of Behavior -- Part II. General Formal Description of Games of Strategy -- 5. Introduction -- 6. The Simplified Concept of A Game -- 7. The Complete Concept of A Game -- 8. Sets and Partitions -- 9. The Set-Theoretical Description of A Came -- 10. Axiomatic Formulation -- 11. Strategies and the Final Simplification of the Description of the Game -- Part III. Zero-Sum Two-Person Games: Theory -- 12. Preliminary Survey -- 13. Functional Calculus -- 14. Strictly Determined Games -- 15. Games With Perfect Information -- 16. Linearity and Convexity -- 17. Mixed Strategies. the Solution for All Games -- Part IV. Zero-Sum Two-Person Games: Examples -- 18. Some Elementary Games -- 19. Poker and Bluffing -- Part V. Zero-Sum Three-Person Games -- 20. Preliminary Survey -- 21. The Simple Majority Game of Three Persons -- 22. Further Examples -- 23. The General Case -- 24. Discussion of an Objection -- Part VI. FORMULATION OF THE GENERAL THEORY: ZERO-SUM n-PERSON GAMES -- 25. The Characteristic Function -- 26. Construction of A Game With A Given Characteristic Function -- 27. Strategic Equivalence. Inessential and Essential Games -- 28. Groups, Symmetry and Fairness -- 29. Reconsideration of the Zero-Sum Three-Person Game -- 30. The Exact Form of the Generaldefinitions -- 31. First Consequences -- 32. Determination of All Solutions of the Essential Zero-Sum Three-Person Game -- 33. Conclusions -- Part VII. Zero-Sum Four-Person Games -- 34. Preliminary Survey -- 35. Discussion of Some Special Points in the Cube Q -- 36. Discussion of the Main Diagonals -- 37. The Center and Its Environs -- 38. A Family of Solutions for A Neighborhood of the Center -- Part VIII. SOME REMARKS CONCERNING n (equal to or greater than) 5 PARTICIPANTS -- 39. The Number of Parameters in Various Classes of Games -- 40. The Symmetric Five Person Game -- Part IX. Composition and Decomposition of Games -- 41. Composition and Decomposition -- 42. Modification of the Theory -- 43. The Decomposition Partition -- 44. Decomposable Games. Further Extension of the Theory -- 45. Limitations of the Excess. Structure of the Extended Theory -- 46. Determination of All Solutions of A Decomposable Game -- 47. The Essential Three-Person Game in the New Theory -- Part X. Simple Games -- 48. Winning and Losing Coalitions and Games Where They Occur -- 49. Characterization of the Simple Games -- 50. The Majority Games and the Main Solution -- 51. Methods for the Enumeration of All Simple Games -- 52. THE SIMPLE GAMES FOR SMALL n -- 53. THE NEW POSSIBILITIES OF SIMPLE GAMES FOR n (equal to or greater than) 6 -- 54. Determination of All Solutions in Suitable Games -- 55. THE SIMPLE GAME (1, <sup>. . .</sup>, 1, n -- 2)<sub>h</sub> -- Part XI. General Non-Zero-Sum Games -- 56. Extension of the Theory -- 57. The Characteristic Function and Related Topics -- 58. Interpretation of the Characteristic Function -- 59. General Considerations -- 60. THE SOLUTIONS OF ALL GENERAL GAMES WITH n (equal to or less than) 3 -- 61. ECONOMIC INTERPRETATION OF THE RESULTS FOR n = 1, 2 -- 62. ECONOMIC INTERPRETATION OF THE RESULTS FOR n = 3: SPECIAL CASE -- 63. ECONOMIC INTERPRETATION OF THE RESULTS FOR n = 3: GENERAL CASE -- 64. The General Market -- Part XII. Extension of the Concepts of Domination and Solution -- 65. The Extension. Special Cases -- 66. Generalization of the Concept of Utility -- 67. Discussion of an Example 608 Appendix: the Axiomatic Treatment of Utility. |
| Subject |
Game theory.
|
|
Economics, Mathematical.
|
|
Economics, Mathematical. (OCoLC)fst00902260
|
|
Game theory. (OCoLC)fst00937501
|
|
Spieltheorie (DE-588)4056243-8
|
|
Wirtschaftliches Verhalten (DE-588)4197971-0
|
|
Economisch gedrag.
|
|
Speltheorie.
|
|
Econometria.
|
|
Spieltheorie.
|
|
Wirtschaftliches Verhalten.
|
| Added Author |
Morgenstern, Oskar, 1902-1977, author.
|
| Other Form: |
Online version: Von Neumann, John, 1903-1957. Theory of games and economic behavior. [3d ed.]. Princeton, Princeton University Press, 1953 [©1944] (OCoLC)609468703 |
| ISBN |
0691003629 |
|
9780691003627 |
|
