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aggregate allocation alternative approach assumed assumption Beckmann behavior capital catastrophe theory chapter choice coefficients commodity competition constraints consumer consumer surplus context contingency tables decision problems demand functions denotes discriminatory pricing distance distribution dynamic econometric effects employment energy entropy Environment and Planning environmental equations estimation example facility factor firms flows formulation framework given gravity model growth household housing market impact income industry input input-output analysis input-output models interregional investment Isard labor labour market linear programming location theory log-linear models logit model market areas matrix maximization methods microeconomic migration mill pricing multiple objective decision multiregional economic models Nijkamp oligopoly optimal location output parameters patterns population problem profits programming model qualitative regional economic regional models Regional Science residential mobility result Section sector solution spatial interaction specific statistical structure supply tables theoretical tion transportation costs Urban Economics utility variables wage