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Industry Location Patterns and the Importance
Urban Systems and Historical Path Dependence
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action adoption agents agglomeration economies algorithm allocation process Arthur asymptotic balls behavior calibrated chance events choice choose Competing Technologies constant converge current proportions depends diminishing returns discount rate distribution dynamics early Econ economic economies of agglomeration emerge equation equilibrium Ermoliev example expected motion finite fixed points function q historical accident human learning increasing returns increasing-returns industry location information contagion model Kaniovski large numbers law of large Lemma locational pattern locational shares lock lock-in long-run Lyapunov Lyapunov function market share monopoly multiple equilibria Network Externalities optimal outcome paper parameters path path-dependent Polya process positive feedback positive probability potential preferences previous purchasers problem Proof QWERTY region result sampling Santa Fe Institute selected sequence simplex small events spatial standard stochastic stochastic approximation stochastic process stopping rule strong law structure Sudderth Suppose Theorem theory tion urn function Urn Problem Urn Processes Urn Schemes vector vertex zero