Theory of Games and Economic BehaviorThis is the classic work upon which modern-day game theory is based. What began more than sixty years ago as a modest proposal that a mathematician and an economist write a short paper together blossomed, in 1944, when Princeton University Press published Theory of Games and Economic Behavior. In it, John von Neumann and Oskar Morgenstern conceived a groundbreaking mathematical theory of economic and social organization, based on a theory of games of strategy. Not only would this revolutionize economics, but the entirely new field of scientific inquiry it yielded--game theory--has since been widely used to analyze a host of real-world phenomena from arms races to optimal policy choices of presidential candidates, from vaccination policy to major league baseball salary negotiations. And it is today established throughout both the social sciences and a wide range of other sciences. |
Contents
GENERAL FORMAL DESCRIPTION OF GAMES OF STRATEGY | 46 |
THE COMPLETE CONCEPT OF A GAME | 55 |
SETS AND PARTITIONS | 61 |
Copyright | |
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a₁ amount assume B₁ belongs chance move characteristic function v(S characterized choice choose components concept consider considerations contains convex set coordinate vector corresponding course decomposable defined definition denote described discussion disjunct domination E(eo elements empty set essential excluded exists express F(eo Figure follows footnote formulae four-person game fulfills fundamental triangle further give given Hence heuristic implies inequalities inessential majority game Matching Pennies mathematical matrix matrix scheme means mixed strategy obtain one-element set participants perfect information permutations personal move play possible precisely Proof pure strategies reader remark replace respectively restricted result saddle point sense simple games solution splitting set standard of behavior strategic equivalence strictly determined subset symmetric symmetric game T₁ theory tion two-element sets v₁ variables vector x₁ y₁ zero-sum games zero-sum three-person game zero-sum two-person game αι