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Questions and Answers

What theoretical framework did Millner and Heal explore in their 2018 publication?

  • The economics of climate change
  • Multi-profile social choice theory
  • Equity among generations
  • Intertemporal choice with a focus on time inconsistency (correct)

Which publication addresses the ethical implications of intergenerational risk?

  • The ethics of intergenerational risk (correct)
  • Increasing risk: I. A definition
  • The Economics of Climate Change
  • A fairness justification of utilitarianism

Whose work involves a review of the Stern Review on Climate Change?

  • Millner and Heal
  • Okun
  • Prelec
  • Nordhaus (correct)

What type of discounting does Prelec discuss in relation to time preference?

<p>Hyperbolic discounting (C)</p> Signup and view all the answers

Which author's work includes a survey on intergenerational equity and infinite-population ethics?

<p>Pivato and Fleurbaey (B)</p> Signup and view all the answers

Which of the following is identified as a significant trade-off according to Okun's work?

<p>Equality vs. efficiency (D)</p> Signup and view all the answers

What concept is central to the work of Ramsey from 1928?

<p>Mathematical theory of saving (A)</p> Signup and view all the answers

Which research addresses climate policy agreement between philosophers and economists?

<p>Philosophers and economists agree on climate policy paths (B)</p> Signup and view all the answers

What does the principle of social indifference imply about consumption?

<p>Consumption intervals represent equal value regardless of individual consumption patterns. (C)</p> Signup and view all the answers

What does the axiom regarding partition independence state?

<p>The specific consumption stream does not affect the valuation of intervals. (D)</p> Signup and view all the answers

How does exponential discounting value certain periods of time?

<p>Next 38 years are valued equally to the next 62 years. (D)</p> Signup and view all the answers

What is the primary contention regarding discount rates in intergenerational justice?

<p>There is ongoing debate about the appropriateness of these rates. (B)</p> Signup and view all the answers

What is the formula for the social discount rate according to the context provided?

<p>SDRea = ⇢ + ⌘gt (D)</p> Signup and view all the answers

The concavity of the utility function may reflect which two attitudes?

<p>Inequality aversion and intertemporal elasticity of substitution. (D)</p> Signup and view all the answers

What is a key difference between earlier and later generations in the context of climate change policies?

<p>Earlier generations face costs while later generations gain benefits. (A)</p> Signup and view all the answers

What does the variable ⌘ represent in the context of the Atkinson aggregator function?

<p>The aversion to consumption-level inequality (A)</p> Signup and view all the answers

What does the literature typically rely on regarding inequality aversion?

<p>Ad hoc formulations and sensitivity analysis. (B)</p> Signup and view all the answers

What do intergenerational discounting and intergenerational inequality represent?

<p>Attitudes towards costs and benefits across time and among generations. (D)</p> Signup and view all the answers

In the expression for the social welfare functions, what does the function g represent?

<p>Aversion to rank inequality (A)</p> Signup and view all the answers

Which statement correctly describes the relationship between the functions f and g in the context provided?

<p>Function f can be expressed as the identity function when rank-weighting is considered. (C)</p> Signup and view all the answers

How does the new approach to inequality attitudes aim to enhance economic theories?

<p>By incorporating preferences for consumption smoothing over time. (B)</p> Signup and view all the answers

What is the significance of the orthogonality property in the context of intergenerational justice theories?

<p>It allows for the independent consideration of discounting and inequality. (C)</p> Signup and view all the answers

What is the role of the parameter β in the exponentially-discounted rank-dependent social welfare functions?

<p>It measures rank inequality aversion. (C)</p> Signup and view all the answers

What has been clarified regarding social welfare functions in the results?

<p>There are numerous insightful functions that are manageable and relevant. (A)</p> Signup and view all the answers

Which of the following is NOT mentioned as a component of intergenerational justice theories?

<p>Assessment of direct resource allocation. (A)</p> Signup and view all the answers

Which term describes the approach that separates discounting and inequality attitudes within intergenerational justice?

<p>Modular characterization. (B)</p> Signup and view all the answers

Which form does the social welfare function take when aversion to rank inequality is constant?

<p>Additive criteria emerge. (D)</p> Signup and view all the answers

What is hyperbolic discounting in the context of social impatience?

<p>A non-constant rate that prioritizes immediate over future benefits. (C)</p> Signup and view all the answers

What does the notation $W = rd$ represent in the context provided?

<p>Rank-dependent social welfare (B)</p> Signup and view all the answers

What does the average growth in consumption, denoted as gct, signify in the discussions of social discount rates?

<p>The growth rate of consumption between time 0 and time t (B)</p> Signup and view all the answers

Which of the following approaches is highlighted as a limitation in existing theories of intergenerational justice?

<p>A confounding of discounting and inequality attitudes. (C)</p> Signup and view all the answers

What is an implication of separating discounting and inequality attitudes in intergenerational justice theories?

<p>It allows for a broader range of ethical viewpoints. (B)</p> Signup and view all the answers

What condition must be satisfied for a social welfare function W to be considered Paretian?

<p>For each pair of consumption streams, one must be strictly greater in all periods. (A)</p> Signup and view all the answers

What does the Pigou-Dalton transfer principle state?

<p>Progressive transfers are welfare improving if they reduce inequality. (B)</p> Signup and view all the answers

Under what condition does a social welfare function W exhibit inequality aversion?

<p>If W shows indifference to changes in the order of constant consumption. (C)</p> Signup and view all the answers

How does time discounting affect the social welfare function W?

<p>It allows the function to remain indifferent to permutation of consumption allocations. (D)</p> Signup and view all the answers

What is necessary for V(y) to be greater than V(y') in the context of first-order stochastic dominance?

<p>There must be some range where y has higher density than y'. (B)</p> Signup and view all the answers

Which aspect does the proposed axiom of inequality aversion focus on?

<p>Increasing social welfare through progressive transfers. (A)</p> Signup and view all the answers

What characterizes a social welfare function W as modular?

<p>It integrates individual utilities independently when constructing social welfare. (B)</p> Signup and view all the answers

What is implied if the social welfare function W shows indifference to permutation?

<p>Consumption can be distributed without affecting perceived welfare. (B)</p> Signup and view all the answers

What is the main purpose of transforming consumption streams into equivalent time?

<p>To express all consumption with the same social value. (A)</p> Signup and view all the answers

How does the modular theory relate to time-discounting functions?

<p>It is described by a time-discounting function and an aggregator function. (D)</p> Signup and view all the answers

What valuable insight do theories of intergenerational justice provide for policy applications?

<p>They allow for comparisons of discounting and inequality attitudes across social welfare functions. (C)</p> Signup and view all the answers

What is meant by the expression 'social impatience' in this context?

<p>The tendency to prioritize present consumption over future consumption. (D)</p> Signup and view all the answers

What does the decomposition of social welfare into efficiency and equality components signify?

<p>It establishes a clear measurement of both economic efficiency and individual fairness. (D)</p> Signup and view all the answers

What is the significance of the 'Ramsey rule' in the context of this discussion?

<p>It describes the value of consumption at different points in time. (C)</p> Signup and view all the answers

What does the novel axiom of nested time split imply in terms of calendar time?

<p>Calendar time can be divided into equally valuable sub-intervals. (A)</p> Signup and view all the answers

Which of the following best describes how inequality is addressed in this context?

<p>Inequality attitudes are compared across various discounting frameworks. (C)</p> Signup and view all the answers

Flashcards

Intergenerational Justice

The idea that future generations should not be disadvantaged compared to current generations, even if it comes with sacrifices from the current generation.

Intergenerational Discounting

The practice of valuing future benefits less than present benefits.

Intergenerational Inequality

The importance of reducing inequality across generations, even if it means sacrificing some benefits for the current generation.

Modular Theories of Intergenerational Justice

A concept that allows for a more nuanced and realistic understanding of intergenerational justice by separating the concepts of discounting and inequality.

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Positive Intergenerational Transfers

The act of prioritizing benefits for future generations over those for the current generation.

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Negative Intergenerational Transfers

The act of imposing costs on future generations for the benefit of the current generation.

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Hyperbolic Discounting

The idea that individuals are more impatient with delayed rewards in the near future than in the distant future.

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Positional Attitudes toward Intergenerational Inequality

Taking into account the relative position of different generations in terms of well-being when making policy decisions.

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Equivalent Time

Transforming consumption streams in calendar time into streams where all consumption has equal social value.

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Aggregator Function

A function that combines individual consumption streams into a single measure of social welfare.

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Nested Time Split Axiom

A characteristic of an intergenerational discounting function that allows for splitting calendar time into sub-intervals with equal social value.

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Ramsey Rule

The measure of a dollar's worth of consumption at different points in time, taking into account both discounting and inequality aversion.

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Inequality Aversion

A measure of how much society dislikes unequal distribution of consumption across generations.

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Social Welfare Decomposition

The decomposition of social welfare into components reflecting both the overall efficiency of consumption and the degree of inequality.

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Comparing Social Welfare Functions

The comparison of different social welfare functions by considering both discounting and inequality attitudes.

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Equal Value Axiom

A principle asserting that rearranging consumption across time periods within a generation doesn't change overall social welfare, as long as the total consumption remains the same. This means society is indifferent to how consumption is distributed within a single generation.

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Exponential Discounting

A model where future generations' well-being is valued less than current generations. It involves discounting future consumption at a specific rate, making future consumption less valuable.

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Time Preference

The tendency to value consuming goods and services now more than consuming them in the future.

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Utility Function

A mathematical representation of individual or societal preferences for consuming over time. It captures how people value consuming goods now versus in the future.

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Intertemporal Elasticity of Substitution

The sensitivity of people's consumption choices to changes in interest rates. It indicates how much people are willing to substitute consumption in one period for consumption in another.

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Social Welfare Function

A function that combines both discounting and inequality aversion to evaluate social welfare over time, offering a more nuanced approach to intergenerational justice.

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Sensitivity Analysis

A collection of methods used to explore how sensitive the results of an economic model are to changes in its underlying assumptions. It helps assess the robustness of findings by varying key parameters.

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Time Discounting

A mathematical approach to explain how individuals value future benefits compared to present ones. It considers how people discount future rewards and the factors that influence this discounting.

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Time Consistency

A model of intertemporal choice where people's preferences for future utility may be influenced by factors such as the time horizon, potential uncertainty, and the relative values of different outcomes.

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Time Invariance

A concept that ensures that the chosen policies remain the same regardless of the time frame considered. This means that the same policies are chosen independent of the future time horizon or the specific point in time.

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Discounting rate

The practice of adjusting future values to reflect the current time based on the rate of time discounting used.

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Intergenerational Equity

A central issue in intergenerational ethics that asks how we should balance the needs and well-being of current generations with the well-being of future generations.

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Net Present Value (NPV)

A measurement of the value of a project or policy that accounts for the time value of money. It discounts future benefits back to their equivalent present values.

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Ethics of Intergenerational Risk

Refers to the ethical considerations surrounding how we address the potential risks and uncertainties faced by future generations, particularly in contexts like climate change.

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⇢ (rho)

In the exponential time-discounting function, this component represents the pure time preference rate reflecting the value we place on present consumption over future consumption.

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⌘gct (gamma * gct)

In this case, the second component of the Atkinson aggregator function signifies the average growth rate in consumption from the initial time period to the present.

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Generalized Ramsey Rule

A generalization of the Ramsey rule that incorporates both time discounting and inequality aversion, allowing for a more comprehensive evaluation of intergenerational welfare.

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Discounting-Adjusted Rank-dependent Social Welfare Functions

This class of social welfare functions uses rank-dependent discounting to weight the welfare of each generation by its position in the distribution of consumption.

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(lambda)

A parameter within the rank-dependent social welfare function representing the aversion to inequality in rankings, meaning how much we care about the relative position of individuals in the distribution of consumption.

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⌘ (gamma)

A parameter within the rank-dependent social welfare function that represents the aversion to inequality in absolute levels of consumption, indicating how much we dislike differences in the actual amount of resources people have.

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Paretian Social Welfare Function

A social welfare function W is Paretian if, for any consumption streams c and c' where c(t) > c'(t) for all times t and the total consumption over some period is greater for c than for c', then W(c) > W(c'). This means that if everyone is better off in one consumption stream compared to another, society as a whole is also better off.

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Modular Social Welfare Function

A social welfare function W is modular if it can be expressed as the sum of individual utilities, where each utility function represents the well-being of a specific generation.

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First-Order Stochastic Dominance

First-order stochastic dominance (FSD) applies to distributions. If one distribution, y, is consistently above another, y', for all values, and the total area under y is greater than the area under y', then y is said to dominate y' in the sense of FSD. This implies that the distribution represented by y is 'better' than the distribution represented by y'.

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Pigou-Dalton Transfer Principle

A progressive transfer is a redistribution of resources where a wealthier generation ('donor') transfers some of their wealth to a poorer generation ('recipient'), without any leakage. The Pigou-Dalton transfer principle states that such transfers should always increase social welfare.

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Axiom of Inequality Aversion (Discounting)

The axiom of inequality aversion, in a discounting context, states that if a social welfare function is indifferent to the order of consumption between two generations, it should prefer a reduction in inequality between those generations.

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Inequality Aversion – Example

The axiom of inequality aversion, in the discounting context, involves a hypothetical situation where consumption is exchanged between generations T1 and T2. If society is indifferent to the order of consumption, then a progressive transfer between these generations, achieving greater equality in consumption, will lead to a higher level of social welfare.

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Inequality Aversion - Summary

A social welfare function exhibits inequality aversion if, for any two possible scenarios where consumption is switched between two generations, if the function is indifferent to the ordering of consumption, then a progressive transfer between these generations will increase social welfare. This implies that the function prefers a more equitable distribution of consumption across generations, even if it means slightly less overall consumption.

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Study Notes

Intergenerational Discounting and Inequality

  • This study examines theories of justice concerning intergenerational discounting and inequality.
  • Each social welfare function is defined by a time-discounting function (reflecting attitudes towards time) and an aggregator function (reflecting attitudes towards inequality).
  • Different choices of these functions allow for diverse welfare criteria, including common criteria in the literature as special cases.
  • The study aims to characterize and understand the limits of disentangling discounting and inequality in intergenerational justice.
  • Key terms include: intergenerational justice, discounting, and inequality.

Introduction

  • Policies today affect future generations, sometimes with benefits for some and costs for others.
  • Key considerations in intergenerational justice are attitudes towards earlier vs. later generations (discounting) and attitudes toward the well-being of different generations (inequality).
  • The study argues that discounting and inequality are independent aspects of intergenerational justice.
  • The paper develops a new family of intergenerational justice theories.

Welfare, Calendar Time, and Equivalent Time

  • Calendar time (t) is continuous and spans [0, ∞).
  • A consumption stream (c) is a function mapping calendar time to positive real numbers (R+).
  • A social welfare function (W) ranks different consumption streams.
  • Equivalent time (i) is created by a transformation function (w). This transformation adjusts calendar time based on time discounting.
  • An aggregator function (V) assesses social welfare with equivalent time.

The Time-Discounting Module

  • Time-discounting function (w) must be continuous, strictly increasing, and satisfy w(0) = 0 and w(∞) = 1.
  • The function captures social preferences for earlier vs. later generations.
  • The function ω(t) measures the social value of consumption at time t.
  • Exponential and quasi-hyperbolic functions are common in literature.

The Aggregation Module

  • The aggregator function (V) measures social welfare in equivalent time, given a social welfare function (W) and a time-discounting function (w).
  • The function is normalized, and all consumption streams can be ordered by this function with no further explicit assumptions.
  • A social welfare function is “Paretian” if when a consumption stream has higher or equal consumption across all points in time, it is deemed a higher social welfare function.
  • Social welfare functions that satisfy Pareto efficiency are commonly used.

Social Welfare Functions

  • Combines discounting and inequality aversion modules in theories of intergenerational justice.
  • The paper presents different classes of theories and their general properties.
  • The goal is to show their correspondence to the common ethical consideration to intergenerational justice.

Characterization and Uniqueness

  • The study characterizes the family of modular theories, highlighting existence and uniqueness aspects of the modular representation.
  • Examines time consistency and invariance.
  • Explains why the exponential discounting model in some contexts is a modular theory.

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Description

This study explores theories of intergenerational justice, focusing on discounting and inequality. It defines social welfare functions through time-discounting and aggregator functions while examining the implications for future generations. Understanding these dynamics is crucial for formulating equitable policies.

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