Yes, capital goods and consumer goods aren't the only ways products (as in goods & services) are classified.

Free, Private, and Public

These questions are not to be assessed on a linear scale -- that is to say, an underground train is not of a rivalrous nature if it isn't crowded.

 Some examples include:
 - street lights are inexclusive and non-rivalrous;
 - (most) British motorways are inexclusive and non-rivalrous to a point;
 - sunlight is inexclusive and non-rivalrous.

 These properties are key to considering whether a product is public, quasi-public, private, or free.

 Public goods often lead to the free-rider problem: due to their inexclusivity and unrivalrousness, those who use it won't be compelled and often won't pay, leading to a lack of incentive to provide, and thus lack of provision, for such goods.
 The free-rider problem can also be classified as an example of market failure.

 Examples of truly public goods are rare: count national defence, street lighting, flood control, and lighthouses.
 Quasi-public goods are generally easier to find examples for:
  - Inexclusive, rivalrous goods like the M25 or underground trains;
  - Exclusive, non-rivalrous goods like the M6 Toll or Netflix.
 A grand majority of things can be considered public goods: food, clothing, computers, etc.

Merit, Demerit, and Externalities

 Merit goods are underconsumed goods that have positive externalities.
 Demerit goods are overconsumed goods that have negative externalities.

 Externalities are consequences not borne by the players selling and purchasing the good.
 Information failure means players do not have enough information to consider the merits of a product.

 Merit goods are underconsumed and demerit goods overconsumed due to, aside from information failure, the free-rider problem.

 In part, information failure leads to the underconsumption of merit goods, overconsumption of demerit goods, and inefficient allocation of resources: market failure.

 Merit and demerit goods exist in a separate category to public and private goods.
 That is to say, the M25 is, simultaneously, a quasi-public and demerit good (congestion, eh?).

Normal, Inferior, Subsitutes, and Complements

 Normal goods have their demand move directly with income.
 Inferior goods have their demand move inversely with imcome.

 Substitutes are goods that can be used instead of the considered goods.
 Complements are goods that must be used with the considered goods.

 The distinction between normal and inferior goods is as vague as that between merit, demerit, public, and private goods. Please also consider other factors as well.

 The price of substitutes and demand for the currently-considered goods move inversely,
 the price of complements and demand for the currently-considered goods move directly.

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