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Pigou–Dalton Principle
The Pigou–Dalton principle (PDP) is a principle in welfare economics, particularly in cardinal welfarism. Named after Arthur Cecil Pigou and Hugh Dalton, it is a condition on social welfare functions. It says that, all other things being equal, a social welfare function should prefer allocations that are more equitable. In other words, a transfer of some defined variable (for example utility or income) from the rich to the poor is desirable, as long as it does not bring the rich to a poorer situation than the poor. Formally, let u=(u_1,u_2,\dots,u_n) and u'=(u'_1,u'_2,\dots,u'_n) be two utility profiles. Suppose that at the first profile: :u_1 and at the second profile: :u_1'+u_2' = u_1+u_2 and :u'_3=u_3, u'_4=u_4,\dots,u'_n=u_n and :u_1 < u_1' < u_2 and u_1 < u_2' < u_2 ::(so u_1 < u_1' < u_2' < u_2 or u_1 < u_1' = u_2' < u_2 or u_1 < u_2' < u_1' < u_2) Then, the social-welfare ...
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Welfare Economics
Welfare economics is a branch of economics that uses microeconomic techniques to evaluate well-being (welfare) at the aggregate (economy-wide) level. Attempting to apply the principles of welfare economics gives rise to the field of public economics, the study of how government might intervene to improve social welfare. Welfare economics also provides the theoretical foundations for particular instruments of public economics, including cost–benefit analysis, while the combination of welfare economics and insights from behavioral economics has led to the creation of a new subfield, behavioral welfare economics. The field of welfare economics is associated with two fundamental theorems. The first states that given certain assumptions, competitive markets produce ( Pareto) efficient outcomes; it captures the logic of Adam Smith's invisible hand. The second states that given further restrictions, any Pareto efficient outcome can be supported as a competitive market equilibrium. Th ...
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Cardinal Welfarism
In welfare economics, a social welfare function is a function that ranks social states (alternative complete descriptions of the society) as less desirable, more desirable, or indifferent for every possible pair of social states. Inputs of the function include any variables considered to affect the economic welfare of a society. In using welfare measures of persons in the society as inputs, the social welfare function is individualistic in form. One use of a social welfare function is to represent prospective patterns of collective choice as to alternative social states. The social welfare function provides the government with a simple guideline for achieving the optimal distribution of income. The social welfare function is analogous to the consumer theory of indifference-curve– budget constraint tangency for an individual, except that the social welfare function is a mapping of individual preferences or judgments of everyone in the society as to collective choices, which ap ...
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Arthur Cecil Pigou
Arthur Cecil Pigou (; 18 November 1877 – 7 March 1959) was an English economist. As a teacher and builder of the School of Economics at the University of Cambridge, he trained and influenced many Cambridge economists who went on to take chairs of economics around the world. His work covered various fields of economics, particularly welfare economics, but also included Business cycle theory, unemployment, public finance, index numbers, and measurement of national output.Nahid Aslanbeigui, 2008. "Pigou, Arthur Cecil (1877–1959)," ''The New Palgrave Dictionary of Economics'', 2nd edAbstract./ref> His reputation was affected adversely by influential economic writers who used his work as the basis on which to define their own opposing views. He reluctantly served on several public committees, including the Cunliffe Committee and the 1919 Royal Commission on Income tax. Early life and education Pigou was born at Ryde on the Isle of Wight, the son of Clarence George Scott Pigou, ...
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Hugh Dalton
Edward Hugh John Neale Dalton, Baron Dalton, (16 August 1887 – 13 February 1962) was a British Labour Party economist and politician who served as Chancellor of the Exchequer from 1945 to 1947. He shaped Labour Party foreign policy in the 1930s, opposing pacifism; promoting rearmament against the German threat; and strongly opposed the appeasement policy of Prime Minister Neville Chamberlain in 1938. Dalton served in Winston Churchill's wartime coalition cabinet; after the Dunkirk evacuation he was Minister of Economic Warfare, and established the Special Operations Executive. As Chancellor, he pushed his policy of cheap money too hard, and mishandled the sterling crisis of 1947. His political position was already in jeopardy in 1947 when he, seemingly inadvertently, revealed a sentence of the budget to a reporter minutes before delivering his budget speech. Prime Minister Clement Attlee accepted his resignation; Dalton later returned to the cabinet in relatively minor p ...
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Social Welfare Function
In welfare economics, a social welfare function is a function that ranks social states (alternative complete descriptions of the society) as less desirable, more desirable, or indifferent for every possible pair of social states. Inputs of the function include any variables considered to affect the economic welfare of a society. In using welfare measures of persons in the society as inputs, the social welfare function is individualistic in form. One use of a social welfare function is to represent prospective patterns of collective choice as to alternative social states. The social welfare function provides the government with a simple guideline for achieving the optimal distribution of income. The social welfare function is analogous to the consumer theory of indifference-curve– budget constraint tangency for an individual, except that the social welfare function is a mapping of individual preferences or judgments of everyone in the society as to collective choices, which ap ...
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Amartya Sen
Amartya Kumar Sen (; born 3 November 1933) is an Indian economist and philosopher, who since 1972 has taught and worked in the United Kingdom and the United States. Sen has made contributions to welfare economics, social choice theory, economic and social justice, economic theories of famines, decision theory, development economics, public health, and measures of well-being of countries. He is currently a Thomas W. Lamont University Professor, and Professor of Economics and Philosophy at Harvard University. He formerly served as Master of Trinity College at the University of Cambridge. He was awarded the Nobel Memorial Prize in Economic Sciences in 1998 and India's Bharat Ratna in 1999 for his work in welfare economics. The German Publishers and Booksellers Association awarded him the 2020 Peace Prize of the German Book Trade for his pioneering scholarship addressing issues of global justice and combating social inequality in education and healthcare. Early life and educ ...
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Hervé Moulin
Hervé Moulin (born 1950 in Paris) is a French mathematician who is the Donald J. Robertson Chair of Economics at the Adam Smith Business School at the University of Glasgow. He is known for his research contributions in mathematical economics, in particular in the fields of mechanism design, social choice, game theory and fair division. He has written five books and over 100 peer-reviewed articles. Moulin was the George A. Peterkin Professor of Economics at Rice University (from 1999 to 2013):, the James B. Duke Professor of Economics at Duke University (from 1989 to 1999) and the University Distinguished Professor at Virginia Tech (from 1987 to 1989). He is a fellow of the Econometric Society since 1983, and the president of the Game Theory Society for the term 2016 - 2018. He also served as president of the Society for Social Choice and Welfare for the period of 1998 to 1999. He became a Fellow of the Royal Society of Edinburgh in 2015. Moulin's research has been suppo ...
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Utilitarian
In ethical philosophy, utilitarianism is a family of normative ethical theories that prescribe actions that maximize happiness and well-being for all affected individuals. Although different varieties of utilitarianism admit different characterizations, the basic idea behind all of them is, in some sense, to maximize utility, which is often defined in terms of well-being or related concepts. For instance, Jeremy Bentham, the founder of utilitarianism, described ''utility'' as: That property in any object, whereby it tends to produce benefit, advantage, pleasure, good, or happiness ... rto prevent the happening of mischief, pain, evil, or unhappiness to the party whose interest is considered. Utilitarianism is a version of consequentialism, which states that the consequences of any action are the only standard of right and wrong. Unlike other forms of consequentialism, such as egoism and altruism, utilitarianism considers the interests of all sentient beings equally. ...
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Atkinson Index
The Atkinson index (also known as the Atkinson measure or Atkinson inequality measure) is a measure of income inequality developed by British economist Anthony Barnes Atkinson. The measure is useful in determining which end of the distribution contributed most to the observed inequality. Definition The index can be turned into a normative measure by imposing a coefficient \varepsilon to weight incomes. Greater weight can be placed on changes in a given portion of the income distribution by choosing \varepsilon, the level of "inequality aversion", appropriately. The Atkinson index becomes more sensitive to changes at the lower end of the income distribution as \varepsilon increases. Conversely, as the level of inequality aversion falls (that is, as \varepsilon approaches 0) the Atkinson becomes less sensitive to changes in the lower end of the distribution. The Atkinson index is for no value of \varepsilon highly sensitive to top incomes because of the common restriction that \varep ...
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Generalized Entropy Index
The generalized entropy index has been proposed as a measure of income inequality in a population. It is derived from information theory as a measure of redundancy in data. In information theory a measure of redundancy can be interpreted as non-randomness or data compression; thus this interpretation also applies to this index. In addition, interpretation of biodiversity as entropy has also been proposed leading to uses of generalized entropy to quantify biodiversity. Formula The formula for general entropy for real values of \alpha is: GE(\alpha) = \begin \frac\sum_^N\left left(\frac\right)^\alpha - 1\right& \alpha \ne 0, 1,\\ \frac\sum_^N\frac\ln\frac,& \alpha=1,\\ -\frac\sum_^N\ln\frac,& \alpha=0. \end where N is the number of cases (e.g., households or families), y_i is the income for case i and \alpha is a parameter which regulates the weight given to distances between incomes at different parts of the income distribution. For large \alpha the index is especially sensit ...
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