## Competitive economics: equilibrium and arbitrationThis book is a survey of important results in active areas of mathematical ec |

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### Contents

HISTORY AND BACKGROUND | 1 |

EQUILIBRIUM | 19 |

NONCOOPERATIVE GAME THEORY | 61 |

Copyright | |

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### Common terms and phrases

2-person game agent assumption AXIOM bargaining set Bayesian binary relation Boolean bundle choose coalition competitive equilibrium consider convex cooperative game core curve d-solvable DEFINITION demand function distribution dominant strategy economic equal equations equilibrium subset EXAMPLE exist expected utility finite game theory game with side gives implementation incentive compatible income increase independence of irrelevant individually rational inflation initial allocation irrelevant alternatives Kalai least leximin marginal utilities market system mathematical matrix maximin strategy maximize mechanism method mixed strategies monotone Moulin Myerson n-tuple Nash bargaining solution Nash equilibrium point noncooperative equilibrium number of voters oligopoly outcome Pareto efficient Pareto optimal payoffs person play player preferences problem production profits Proof quantity real numbers result security levels sellers Shapley value side payments social arbitration functions social choice function social welfare function solution concept strategyproof supply Suppose theorem trader unique utility function vector weak order zero