Geodesic
Iterative methods for equilibrium search in the partial Arrow--Debreu--Stone exchange model
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 3, pp. 201-207

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Iterative methods are proposed for equilibrium price search in the Arrow–Debre model with Stone's multiplicative utility functions. The methods converge under weak initial assumptions and allow for a conceptual interpretation in economic terms. Strict convergence theorems supported by numerical experiments are presented. The paper continues the author's investigations conducted earlier for Cobb–Douglas multiplicative functions.
Keywords: economic equilibrium, exchange model, multiplicative utility function, split methods. 
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     author = {L. D. Popov},
     title = {Iterative methods for equilibrium search in the partial {Arrow--Debreu--Stone} exchange model},
     journal = {Trudy Instituta matematiki i mehaniki},
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     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/TIMM_2012_18_3_a23/}
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L. D. Popov. Iterative methods for equilibrium search in the partial Arrow--Debreu--Stone exchange model. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 3, pp. 201-207. http://geodesic.mathdoc.fr/item/TIMM_2012_18_3_a23/