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'''Public goods''' are products or services, such as lighthouses and national defence that can only be provided by governments, because it is not possible to devise a pricing system to enable them to be marketed.
'''Public goods''' are products and services, such as lighthouses and national defence, that can only be financed  by governments, because it is not possible to devise a pricing system to enable them to be marketed.


==The origins of the concept==
==The origins of the concept==
According to Adam Smith
In the 18th century, Adam Smith wrote: 
:"The third and last duty of the [government] is that and erecting or maintaining those public institutions and those public works, which, although they may be in the highest degree advantageous to a great society, are, however, of such a nature, that the profit could not repay the expense to any individual or small number of individuals, and which it therefore cannot be expected that any individual or small number of individuals should erect or maintain."  
:"The third and last duty of the sovereign or commonwealth is that of erecting or maintaining those public institutions and those public works, which, although they may be in the highest degree advantageous to a great society, are, however, of such a nature, that the profit could not repay the expense to any individual or small number of individuals, and which it therefore cannot be expected that any individual or small number of individuals should erect or maintain ."<ref>[http://www.adamsmith.org/smith/won-b5-c1-pt-3.htm Adam Smith: ''An Inquiry into the Nature And Causes of the Wealth of Nations'', Book 5, Chapter 1, Part 3, (first published 1776)]</ref>;<br>
-  in the 19th century, John Stuart Mill elaborated the idea, using lighthouses as an example, arguing  it would be impossible to try to charge seamen according to their use or benefit from the lighthouse<ref>[http://www.econlib.org/library/Mill/mlP.html John Stuart Mill: ''Principles of Political Economy'', Book 5, Chapter 10, Longmans, Green, 1848]</ref>;<br>
- and in the 20th century, Paul Samuelson (who referred to public goods as  "collective consumption goods") derived a formal proof of the proposition that "no decentralized pricing system can serve to determine optimally the levels of collective consumption" <ref> Paul Samuelson: ''The Pure Theory of Public Expenditure'', Review of Economics and Statistics, vol 36 1954</ref><br>
 
''Possible qualifications to the above are discussed below''
 


According to John Stuart Mill, it would be impossible to try to charge seamen according to their use or benefit from the lighthouse, and might therefore be most convenient for the government to provide the lighthouse and pay for it out of tax moneys.


==The formal definition==
==The formal definition==

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Public goods are products and services, such as lighthouses and national defence, that can only be financed by governments, because it is not possible to devise a pricing system to enable them to be marketed.

The origins of the concept

In the 18th century, Adam Smith wrote:

"The third and last duty of the sovereign or commonwealth is that of erecting or maintaining those public institutions and those public works, which, although they may be in the highest degree advantageous to a great society, are, however, of such a nature, that the profit could not repay the expense to any individual or small number of individuals, and which it therefore cannot be expected that any individual or small number of individuals should erect or maintain ."[1];

- in the 19th century, John Stuart Mill elaborated the idea, using lighthouses as an example, arguing it would be impossible to try to charge seamen according to their use or benefit from the lighthouse[2];
- and in the 20th century, Paul Samuelson (who referred to public goods as "collective consumption goods") derived a formal proof of the proposition that "no decentralized pricing system can serve to determine optimally the levels of collective consumption" [3]

Possible qualifications to the above are discussed below


The formal definition

Partly public goods

References