## General competitive analysis |

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agents analysis assume assumption bounded budget constraint certainly Chapter choose coalition commodity compact compensated equilibrium competitive equilibrium components consider consumption vectors continuous function convex combination convex cone convex hull convex set Corollary correspondence defined definition demand functions discussion economy elements equi equilibrium price excess demand excess supply excess-demand functions factor feasible finite firm follows given globally stable Hence Hicksian hold household h implies inequality initial endowment inputs Jacobian labor Lemma limit point mapping matrix monopolistic negative non-convexity non-negative numeraire output Pareto efficient positive postulate preference ordering price ratio price vector production allocation production possibility sets production vector profit maximization Proof resource related returns to scale satisfies Section semi-continuous sequence set of prices simplex strictly subset Suppose tatonnement theorem theory tion Uh(xh unique equilibrium utility allocation utility function zero