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In economics, non-convexity refers to violations of the convexity assumptions of elementary economics. Basic economics textbooks concentrate on consumers with convex preferences (that do not prefer extremes to in-between values) and convex budget sets and on producers with convex production sets; for convex models, the predicted economic behavior is well understood. When convexity assumptions are violated, then many of the good properties of competitive markets need not hold: Thus, non-convexity is associated with market failures, where supply and demand differ or where market equilibria can be inefficient. Non-convex economies are studied with nonsmooth analysis, which is a generalization of convex analysis.

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  • يشير عدم التحدب في علم الاقتصاد إلى انتهاك فرضيات التحدب للاقتصاد الأولي. تركز كتب الاقتصاد الأساسية على المستهلكين مع افتراض منحنيات تفضيلات محدبة ومجموعات ميزانية محدبة، وتركز أيضًا على المنتجين الذين لديهم مجموعات إنتاج محدبة. (ar)
  • In economics, non-convexity refers to violations of the convexity assumptions of elementary economics. Basic economics textbooks concentrate on consumers with convex preferences (that do not prefer extremes to in-between values) and convex budget sets and on producers with convex production sets; for convex models, the predicted economic behavior is well understood. When convexity assumptions are violated, then many of the good properties of competitive markets need not hold: Thus, non-convexity is associated with market failures, where supply and demand differ or where market equilibria can be inefficient. Non-convex economies are studied with nonsmooth analysis, which is a generalization of convex analysis. (en)
  • Em economia, a não-convexidade refere-se a violações das suposições de convexidade da economia elementar. Os livros didáticos básicos de economia concentram-se nos consumidores com preferências convexas (que não preferem valores extremos para valores intermediários) e conjuntos de orçamento convexos e em produtores com conjuntos de produção convexos; para modelos convexos, o comportamento econômico previsto é bem compreendido. Quando hipóteses de convexidade são violadas, muitas das boas propriedades dos mercados competitivos não precisam ser mantidas: assim, a não-convexidade está associada a falhas de mercado, onde a oferta e demanda diferem ou onde o equilíbrio de mercado pode ser ineficiente. As economias não-convexas são estudadas com uma análise não-suave, que é uma generalização da análise convexa. (pt)
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  • يشير عدم التحدب في علم الاقتصاد إلى انتهاك فرضيات التحدب للاقتصاد الأولي. تركز كتب الاقتصاد الأساسية على المستهلكين مع افتراض منحنيات تفضيلات محدبة ومجموعات ميزانية محدبة، وتركز أيضًا على المنتجين الذين لديهم مجموعات إنتاج محدبة. (ar)
  • In economics, non-convexity refers to violations of the convexity assumptions of elementary economics. Basic economics textbooks concentrate on consumers with convex preferences (that do not prefer extremes to in-between values) and convex budget sets and on producers with convex production sets; for convex models, the predicted economic behavior is well understood. When convexity assumptions are violated, then many of the good properties of competitive markets need not hold: Thus, non-convexity is associated with market failures, where supply and demand differ or where market equilibria can be inefficient. Non-convex economies are studied with nonsmooth analysis, which is a generalization of convex analysis. (en)
  • Em economia, a não-convexidade refere-se a violações das suposições de convexidade da economia elementar. Os livros didáticos básicos de economia concentram-se nos consumidores com preferências convexas (que não preferem valores extremos para valores intermediários) e conjuntos de orçamento convexos e em produtores com conjuntos de produção convexos; para modelos convexos, o comportamento econômico previsto é bem compreendido. Quando hipóteses de convexidade são violadas, muitas das boas propriedades dos mercados competitivos não precisam ser mantidas: assim, a não-convexidade está associada a falhas de mercado, onde a oferta e demanda diferem ou onde o equilíbrio de mercado pode ser ineficiente. As economias não-convexas são estudadas com uma análise não-suave, que é uma generaliz (pt)
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  • عدم التحدب (اقتصاد) (ar)
  • Non-convexity (economics) (en)
  • Não-convexidade (economia) (pt)
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