Introducing Game Theory and its Applications
The mathematical study of games is an intriguing endeavor with implications and applications that reach far beyond tic-tac-toe, chess, and poker to economics, business, and even biology and politics. Most texts on the subject, however, are written at the graduate level for those with strong mathematics, economics, or business backgrounds.
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arbitration procedure assume basic point basic variables binary decomposition choose coalition game coefficients combinatorial game Consider the game consists dominates entry equation equilibrium pair Exercise expected pay-off Find a winning following game G-number game matrix game of Example game theory graph Grundy number Hence hexagons imputation integer ith row k-tuple last person loses lottery lpp’s matrix games maximin strategy maximum minimax Minimize minimum mixed Nash equilibrium move wins negotiation set non-basic variables non-losing strategy nonnegative number of objects objective function objective row obtain occurs odd number optimal strategy outcomes pay-offs person to move pile pivot with respect plays strategy probability proof pure Nash equilibrium pure strategy real numbers remove result saddle point second player Shapley value simplex method slack variables solution square sticks strategies A1 strategy for player strategy X superadditivity symmetric games Theorem Tic-Tac-Toe White winning strategy yields