Find competitive equilibrium prices and allocations in a 2-consumer, 2-good exchange economy with Cobb-Douglas preferences. Uses iterative tâtonnement process to find prices where markets clear (excess demand = 0). Returns equilibrium price vector and optimal allocations for each consumer. Essential for general equilibrium analysis and welfare economics.
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Initial endowments for each consumer [[e1_good1, e1_good2], [e2_good1, e2_good2]]
2 elements2 elementsx >= 0[[10, 5], [5, 10]]Cobb-Douglas preference parameters for each consumer [alpha1, alpha2]
2 elements0 <= x <= 1[0.6, 0.4]Starting prices for iteration [p1, p2]. If null, uses [1.0, 1.0]
2 elementsx >= 0[1, 1]Maximum number of iterations for solver
x >= 11000
Convergence tolerance for excess demand
x >= 00.000001