## An introduction to linear programming and the theory of games |

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An Introduction to Linear Programming and the Theory of Games: Repr S. Vajda No preview available - 1963 |

### Common terms and phrases

artificial variable assume basic feasible solution basic solutions basic variables become negative best strategy Blotto bottom row boxes cheapest choice chooses coefficients column constraints convex decisions dual problem dual system Duality equal equations equilibrium points example fact final tableau find non-negative Fundamental GRAPHICAL REPRESENTATION hence indicated inequalities INFINITE GAMES instance John von Neumann latter Linear Programming problem m m—s Main Theorem mathematics maximin maximizing player minimax minimizing mixed strategies non-basic slack non-basic variables non-negative values Noughts and Crosses objective function obtain Operational Research opponent optimal strategy optimum outcome pay-off table perfect information pivot positive entries possible primal system produced proof proved pure strategies remains saddle point shadow costs shadow prices similarly Simplex Method slack variables straight line tableau transformation TGLP Theory of Games Transportation Problem value zero wool yards of type zero-sum game