Representative democracy (also indirect democracy, representative republic, or psephocracy ) is a variety of democracy founded on the principle of elected officials representing a group of people, as opposed to direct democracy .  All modern Western-style democracies are types of representative democracies; for example, the United Kingdom is a crowned republic and Ireland is a parliamentary republic .
Representative democracy is often presented as the only form of democracy possible in mass societies. It arguably allows for efficient ruling by a sufficiently small number of people on behalf of the larger number. Representative democracy has been conceptually associated with and historically instantiated by the political system known as "representative government," which was born in the 18th century with the French and American revolutions. It is a system in which people elect their lawmakers (representatives), who are then held accountable to them for their activity within government.
It is an element of both the parliamentary system or presidential system of government and is typically used in a lower chamber such as the House of Commons (UK) or Dáil Éireann (Ireland), and may be curtailed by constitutional constraints such as an upper chamber. It has been described by some political theorists including Robert A Dahl, Gregory Houston and Ian Liebenberg as polyarchy . In it the power is in the hands of the elected representatives who are elected by the people in elections.
Powers of representatives
Representatives are elected by the public, as in national elections for the national legislature. Elected representatives may hold the power to select other representatives, presidents, or other officers of the government or of the legislature, as the Prime Minister in the latter case. (indirect representation).
- An independent judiciary , which may have the power to declare legislative acts unconstitutional (e.g. constitutional court , supreme court )
- The constitution may also provide for some deliberative democracy (e.g., Royal Commissions ) or direct popular measures (e.g., initiative , referendum , recall elections ). However, these are not always binding and usually require some legislative action—legal power usually remains firmly with representatives.
- In some cases, a bicameral legislature may have an " upper house " that is not directly elected, such as the Canadian Senate , which was in turn modeled on the British House of Lords .
Theorists such as Edmund Burke believe that part of the duty of a representative was not simply to communicate the wishes of the electorate but also to use their own judgement in the exercise of their powers, even if their views are not reflective of those of a majority of voters:
...it ought to be the happiness and glory of a representative to live in the strictest union, the closest correspondence, and the most unreserved communication with his constituents. Their wishes ought to have great weight with him; their opinion, high respect; their business, unremitted attention. It is his duty to sacrifice his repose, his pleasures, his satisfactions, to theirs; and above all, ever, and in all cases, to prefer their interest to his own. But his unbiassed opinion, his mature judgment, his enlightened conscience, he ought not to sacrifice to you, to any man, or to any set of men living. These he does not derive from your pleasure; no, nor from the law and the constitution. They are a trust from Providence, for the abuse of which he is deeply answerable. Your representative owes you, not his industry only, but his judgment; and he betrays, instead of serving you, if he sacrifices it to your opinion.
The Roman Republic was the first government in the western world to have a representative government, despite taking the form of a direct government in the Roman assemblies . The Roman model of governance inspired many political thinkers over the centuries, and today's modern representative democracies imitate more the Roman than the Greek models because it was a state in which supreme power was held by the people and their elected representatives, and which had an elected or nominated leader. Representative democracy is a form of democracy in which people vote for representatives who then vote on policy initiatives as opposed to a direct democracy, a form of democracy in which people vote on policy initiatives directly.  A European medieval tradition of selecting representatives from the various estates ( classes , but not as we know them today) to advise/control monarchs led to relatively wide familiarity with representative systems inspired by Roman systems.
In Britain, Simon de Montfort is remembered as one of the fathers of representative government for holding two famous parliaments.   The first , in 1258, stripped the King of unlimited authority and the second, in 1265, included ordinary citizens from the towns . Later, in the 17th century, the Parliament of England pioneered some of the ideas and systems of liberal democracy .  
The American Revolution led to the creation of a new Constitution of the United States in 1787. The ' Three-Fifths Compromise ' allowed the southern slaveholders to consolidate power and maintain slavery in America for another eighty years,  but through the expansion of voting rights and liberties over subsequent decades and centuries the elected government became responsible to the will of the people . 
Representative democracy came into particular general favour in post- industrial revolution nation states where large numbers of subjects or (latterly) citizens evinced interest in politics , but where technology and population figures remained unsuited to direct democracy. As noted above, Edmund Burke in his speech to the electors of Bristol classically analysed their operation in Britain and the rights and duties of an elected representative.
Globally, a majority of the world's people live in representative democracies including constitutional monarchies and republics with strong representative branches.
Research on representation per se
Separate but related, and very large, bodies of research in political philosophy and social science investigate how and how well elected representatives, such as legislators, represent the interests or preferences of one or another constituency.
In his book Political Parties , written in 1911, Robert Michels argues that most representative systems deteriorate towards an oligarchy or particracy . This is known as the iron law of oligarchy .  Representative democracies which are stable have been analysed by Adolf Gasser and compared to the unstable representative democracies in his book "Gemeindefreiheit als Rettung Europas" which was published in 1943 (first edition in German) and a second edition in 1947 (in German).  Adolf Gasser stated the following requirements for a representative democracy in order to remain stable, unaffected by the iron law of oligarchy:
- Society has to be built up from bottom to top. As a consequence, society is built up by people, who are free and have the power to defend themselves with weapons.
- These free people join or form local communities. These local communities are independent, which includes financial independence, and they are free to determine their own rules.
- Local communities join together into a higher unit e.g. a canton.
- There is no hierarchical bureaucracy.
- There is competition between these local communities e.g. on services delivered or on taxes.
A drawback to this type of government is that elected officials are not required to fulfill promises made before their election.
The system of stochocracy has been proposed as an improved system compared to the system of representative democracy, where representatives are elected. Stochocracy aims to at least reduce this degradation by having all representatives appointed by lottery instead of by voting. Therefore, this system is also called lottocracy. The system was proposed by the writer Roger de Sizif in 1998 in his book La Stochocratie . Choosing officeholders by lot was also the standard practice in ancient Athenian democracy .  The rationale behind this practice was to avoid lobbying and electioneering by economic oligarchs.