## Complementarities, comparative statics, and nonconvexities in market economies |

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### Contents

Strategic Complementarities and Monotone Comparative Statics | 7 |

Regular Nonsmooth Equations | 33 |

Increasing Returns in Infinite Horizon Economies | 82 |

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### Common terms and phrases

assumption attainable allocations characterization compact operator compact perturbation consumer consumption set continuous function cost pricing equilibria defined Df(x Df(y domain equation f(x equilibria exist exchange economies finite number following theorem G int G TZ game with strategic graph hence homeomorphism homotopy invariance infinite horizon interior lattice Lemma Leray-Schauder degree theory Let f Lipschitz continuous Lipschitz functions locally convex spaces locally unique manifold marginal cost pricing Moreover Nash equilibrium neighborhood nonconvexities nonempty norm compact notions number of commodities number of equilibria odd number ordinal Pareto optimal allocations player Proof pure strategy pure strategy Nash quasisupermodular functions regular economy regular value returns to scale Sard's Theorem satisfies the single serially undominated strategies set of Pareto sets of measure single crossing property solutions strategic complementarities strategy Nash equilibria strategy variables strictly concave strictly monotone sublattice subset supermodular supermodular games Suppose Topkis topology upper Lipschitzian vector