Английская Википедия:Demand set

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A demand set is a model of the most-preferred bundle of goods an agent can afford. The set is a function of the preference relation for this agent, the prices of goods, and the agent's endowment.

Assuming the agent cannot have a negative quantity of any good, the demand set can be characterized this way:

Define <math>L</math> as the number of goods the agent might receive an allocation of. An allocation to the agent is an element of the space <math>\mathbb{R}_+^L</math>; that is, the space of nonnegative real vectors of dimension <math>L</math>.

Define <math>\succeq_p</math> as a weak preference relation over goods; that is, <math>x \succeq_p x'</math> states that the allocation vector <math>x</math> is weakly preferred to <math>x'</math>.

Let <math>e</math> be a vector representing the quantities of the agent's endowment of each possible good, and <math>p</math> be a vector of prices for those goods. Let <math>D(\succeq_p,p,e)</math> denote the demand set. Then:

<math>D(\succeq_p,p,e) := \{x: p_x \leq p_e EducationBot (обсуждение)andEducationBot (обсуждение) p_{x'}\leq p_e \implies x'\preceq_p x \}</math>.

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