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Budget Set
In economics, a budget set, or the opportunity set facing a consumer, is the set of all possible consumption bundles that the consumer can afford taking as given the prices of commodities available to the consumer and the consumer's income. Let the number of commodities available to the consumer in an economy be finite and equal to k. Thus, for commodity amounts \mathbf = \left x_, x_, \ldots, x_ \right/math>, also known as consumption plans which should not exceed the income, with associated prices \mathbf = \left p_, p_, \ldots, p_ \right/math> and consumer income m, the budget set is defined as :B_ = \left\, where the consumption set is taken to be X = \mathbb^_. It is typically assumed that \mathbf \gg 0 and m \in \mathbb_, in which case B is also known as the Walrasian, or competitive, budget set. The budget set is bounded above by a k-dimensional budget hyperplane characterized by the equation \mathbf \mathbf = m, which in the two-good case corresponds to the budget line. Gra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Price
A price is the (usually not negative) quantity of payment or compensation expected, required, or given by one party to another in return for goods or services. In some situations, especially when the product is a service rather than a physical good, the price for the service may be called something else such as "rent" or "tuition". Prices are influenced by production costs, supply of the desired product, and demand for the product. A price may be determined by a monopolist or may be imposed on the firm by market conditions. Price can be quoted in currency, quantities of goods or vouchers. * In modern economies, prices are generally expressed in units of some form of currency. (More specifically, for raw materials they are expressed as currency per unit weight, e.g. euros per kilogram or Rands per KG.) * Although prices could be quoted as quantities of other goods or services, this sort of barter exchange is rarely seen. Prices are sometimes quoted in terms of vouc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Income
Income is the consumption and saving opportunity gained by an entity within a specified timeframe, which is generally expressed in monetary terms. Income is difficult to define conceptually and the definition may be different across fields. For example, a person's income in an economic sense may be different from their income as defined by law. An extremely important definition of income is Haig–Simons income, which defines income as ''Consumption + Change in net worth'' and is widely used in economics. For households and individuals in the United States, income is defined by tax law as a sum that includes any wage, salary, profit, interest payment, rent, or other form of earnings received in a calendar year.Case, K. & Fair, R. (2007). ''Principles of Economics''. Upper Saddle River, NJ: Pearson Education. p. 54. Discretionary income is often defined as gross income minus taxes and other deductions (such as mandatory pension contributions), and is widely used as a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hyperplane
In geometry, a hyperplane is a generalization of a two-dimensional plane in three-dimensional space to mathematical spaces of arbitrary dimension. Like a plane in space, a hyperplane is a flat hypersurface, a subspace whose dimension is one less than that of the ambient space. Two lower-dimensional examples of hyperplanes are one-dimensional lines in a plane and zero-dimensional points on a line. Most commonly, the ambient space is -dimensional Euclidean space, in which case the hyperplanes are the -dimensional "flats", each of which separates the space into two half spaces. A reflection across a hyperplane is a kind of motion ( geometric transformation preserving distance between points), and the group of all motions is generated by the reflections. A convex polytope is the intersection of half-spaces. In non-Euclidean geometry, the ambient space might be the -dimensional sphere or hyperbolic space, or more generally a pseudo-Riemannian space form, and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Budget Constraint
In economics, a budget constraint represents all the combinations of goods and services that a consumer may purchase given current prices within their given income. Consumer theory uses the concepts of a budget constraint and a preference map as tools to examine the parameters of consumer choices . Both concepts have a ready graphical representation in the two-good case. The consumer can only purchase as much as their income will allow, hence they are constrained by their budget. The equation of a budget constraint is P_x x+P_y y=m where P_x is the price of good , and P_y is the price of good , and is income. Soft budget constraint The concept of soft budget constraint is commonly applied to centrally planned economies, later economies in transition. This theory was originally proposed by János Kornai in 1979. It was used to explain the "economic behavior in socialist economies marked by shortage”. In the socialist transition economy there are soft budget constraint o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Convex Set
In geometry, a set of points is convex if it contains every line segment between two points in the set. For example, a solid cube (geometry), cube is a convex set, but anything that is hollow or has an indent, for example, a crescent shape, is not convex. The boundary (topology), boundary of a convex set in the plane is always a convex curve. The intersection of all the convex sets that contain a given subset of Euclidean space is called the convex hull of . It is the smallest convex set containing . A convex function is a real-valued function defined on an interval (mathematics), interval with the property that its epigraph (mathematics), epigraph (the set of points on or above the graph of a function, graph of the function) is a convex set. Convex minimization is a subfield of mathematical optimization, optimization that studies the problem of minimizing convex functions over convex sets. The branch of mathematics devoted to the study of properties of convex sets and convex f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Compact Set
In mathematics, specifically general topology, compactness is a property that seeks to generalize the notion of a closed and bounded subset of Euclidean space. The idea is that a compact space has no "punctures" or "missing endpoints", i.e., it includes all ''limiting values'' of points. For example, the open interval (0,1) would not be compact because it excludes the limiting values of 0 and 1, whereas the closed interval ,1would be compact. Similarly, the space of rational numbers \mathbb is not compact, because it has infinitely many "punctures" corresponding to the irrational numbers, and the space of real numbers \mathbb is not compact either, because it excludes the two limiting values +\infty and -\infty. However, the ''extended'' real number line ''would'' be compact, since it contains both infinities. There are many ways to make this heuristic notion precise. These ways usually agree in a metric space, but may not be equivalent in other topological spaces. One su ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stock
Stocks (also capital stock, or sometimes interchangeably, shares) consist of all the Share (finance), shares by which ownership of a corporation or company is divided. A single share of the stock means fractional ownership of the corporation in proportion to the total number of shares. This typically entitles the shareholder (stockholder) to that fraction of the company's earnings, proceeds from liquidation of assets (after discharge of all Seniority (financial), senior claims such as secured and unsecured debt), or Voting interest, voting power, often dividing these up in proportion to the number of like shares each stockholder owns. Not all stock is necessarily equal, as certain classes of stock may be issued, for example, without voting rights, with enhanced voting rights, or with a certain priority to receive profits or liquidation proceeds before or after other classes of Shareholder, shareholders. Stock can be bought and sold over-the-counter (finance), privately or on ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wealth
Wealth is the abundance of valuable financial assets or physical possessions which can be converted into a form that can be used for transactions. This includes the core meaning as held in the originating Old English word , which is from an Indo-European word stem. The modern concept of wealth is of significance in all areas of economics, and clearly so for growth economics and development economics, yet the meaning of wealth is context-dependent. A person possessing a substantial net worth is known as ''wealthy''. Net worth is defined as the current value of one's assets less liabilities (excluding the principal in trust accounts). At the most general level, economists may define wealth as "the total of anything of value" that captures both the subjective nature of the idea and the idea that it is not a fixed or static concept. Various definitions and concepts of wealth have been asserted by various people in different contexts.Denis "Authentic Development: Is it Sustaina ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pension
A pension (; ) is a fund into which amounts are paid regularly during an individual's working career, and from which periodic payments are made to support the person's retirement from work. A pension may be either a " defined benefit plan", where defined periodic payments are made in retirement and the sponsor of the scheme (e.g. the employer) must make further payments into the fund if necessary to support these defined retirement payments, or a " defined contribution plan", under which defined amounts are paid in during working life, and the retirement payments are whatever can be afforded from the fund. Pensions should not be confused with severance pay; the former is usually paid in regular amounts for life after retirement, while the latter is typically paid as a fixed amount after involuntary termination of employment before retirement. The terms " retirement plan" and " superannuation" tend to refer to a pension granted upon retirement of the individual; the terminolog ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Preference (economics)
In economics, and in other social sciences, preference refers to an order by which an Agent (economics), agent, while in search of an "optimal choice", ranks alternatives based on their respective utility. ''Preferences'' are evaluations that concern matters of value, in relation to practical reasoning. Individual preferences are determined by taste, need, ..., as opposed to price, availability or personal income. Classical economics assumes that people act in their best (rational) interest. In this context, rationality would dictate that, when given a choice, an individual will select an option that maximizes their self-interest. But preferences are not always transitive relation, transitive, both because real humans are far from always being rational and because in some situations preferences can form cycle (graph theory), cycles, in which case there exists no well-defined optimal choice. An example of this is Efron dice. The concept of preference plays a key role in many discip ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Budgets
A budget is a calculation plan, usually but not always financial, for a defined period, often one year or a month. A budget may include anticipated sales volumes and revenues, resource quantities including time, costs and expenses, environmental impacts such as greenhouse gas emissions, other impacts, assets, liabilities and cash flows. Companies, governments, families, and other organizations use budgets to express strategic plans of activities in measurable terms. Preparing a budget allows companies, authorities, private entities or families to establish priorities and evaluate the achievement of their objectives. To achieve these goals it may be necessary to incur a deficit (expenses exceed income) or, on the contrary, it may be possible to save, in which case the budget will present a surplus (income exceed expenses). In the field of commerce, a budget is also a financial document or report that details the cost that a service will have if performed. Whoever makes the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
