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	<title>Comments on: Close to zero?</title>
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	<link>http://crookedtimber.org/2006/12/05/close-to-zero/</link>
	<description>Out of the crooked timber of humanity, no straight thing was ever made</description>
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		<title>By: John Quiggin</title>
		<link>http://crookedtimber.org/2006/12/05/close-to-zero/comment-page-1/#comment-181560</link>
		<dc:creator>John Quiggin</dc:creator>
		<pubDate>Thu, 07 Dec 2006 19:24:45 +0000</pubDate>
		<guid isPermaLink="false">http://crookedtimber.org/2006/12/05/close-to-zero/#comment-181560</guid>
		<description>Of course the equity premium puzzle is important, and I will be coming back to this. But it&#039;s just as much of a problem for Nordhaus as for Stern. It means that there is no easy way of picking a &#039;market rate&#039; that matches all observations.</description>
		<content:encoded><![CDATA[	<p>Of course the equity premium puzzle is important, and I will be coming back to this. But it&#8217;s just as much of a problem for Nordhaus as for Stern. It means that there is no easy way of picking a &#8216;market rate&#8217; that matches all observations.</p>
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		<title>By: Ragout</title>
		<link>http://crookedtimber.org/2006/12/05/close-to-zero/comment-page-1/#comment-181507</link>
		<dc:creator>Ragout</dc:creator>
		<pubDate>Thu, 07 Dec 2006 13:45:19 +0000</pubDate>
		<guid isPermaLink="false">http://crookedtimber.org/2006/12/05/close-to-zero/#comment-181507</guid>
		<description>Two comments.

First, if we&#039;re going to compare our discount rules to the &quot;real interest rate,&quot; uncritically or not, issues of loss-aversion and hyperbolic discounting inevitably arise, because of the equity premium puzzle.  Should we think of the &quot;real interest rate&quot; as the 2% return to bonds or the 6% return to stocks?  I note that Nordhaus seems to favor a return much closer to the stock market return, not the return to T-bills.

Second, if the Stern Report is supposed in influence policy in, for example, the US, I don&#039;t see what sense it makes to say that US interests only get 5% weight, since we&#039;re only 5% of world population.  I don&#039;t particularly see this as a moral basis for US policy: in some contexts we call those who weight the interests of foreigners equal to national interests &quot;traitors,&quot; which (rightly) implies moral condemnation.  

In practical terms, I don&#039;t think such an analysis is going to be persuasive, unless the assumptions are hidden behind a lot of Greek letters.  When I worry about global warming, I&#039;m especially concerned about possible effects on the Gulf Stream, even though it affects only a relatively few Westerners.  Maybe Stern would tell me that&#039;s an immoral way of deciding policy, but who wants economists to be the world&#039;s moral philosophers?</description>
		<content:encoded><![CDATA[	<p>Two comments.</p>

	<p>First, if we&#8217;re going to compare our discount rules to the &#8220;real interest rate,&#8221; uncritically or not, issues of loss-aversion and hyperbolic discounting inevitably arise, because of the equity premium puzzle.  Should we think of the &#8220;real interest rate&#8221; as the 2% return to bonds or the 6% return to stocks?  I note that Nordhaus seems to favor a return much closer to the stock market return, not the return to T-bills.</p>

	<p>Second, if the Stern Report is supposed in influence policy in, for example, the US, I don&#8217;t see what sense it makes to say that US interests only get 5% weight, since we&#8217;re only 5% of world population.  I don&#8217;t particularly see this as a moral basis for US policy: in some contexts we call those who weight the interests of foreigners equal to national interests &#8220;traitors,&#8221; which (rightly) implies moral condemnation.</p>

	<p>In practical terms, I don&#8217;t think such an analysis is going to be persuasive, unless the assumptions are hidden behind a lot of Greek letters.  When I worry about global warming, I&#8217;m especially concerned about possible effects on the Gulf Stream, even though it affects only a relatively few Westerners.  Maybe Stern would tell me that&#8217;s an immoral way of deciding policy, but who wants economists to be the world&#8217;s moral philosophers?</p>
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		<title>By: aaron</title>
		<link>http://crookedtimber.org/2006/12/05/close-to-zero/comment-page-1/#comment-181503</link>
		<dc:creator>aaron</dc:creator>
		<pubDate>Thu, 07 Dec 2006 13:12:18 +0000</pubDate>
		<guid isPermaLink="false">http://crookedtimber.org/2006/12/05/close-to-zero/#comment-181503</guid>
		<description>Increases in income will decrease the marginal utility of additional income, however they will also decrease the negative utility of costs, making us less risk averse in the future.  So while addional income is worth less to us, cost are also worth much less.  It is wrong to consider preferences in longterm decision making.  Our ability to handle the burder of global warming is what matters, not how much we enjoy it.</description>
		<content:encoded><![CDATA[	<p>Increases in income will decrease the marginal utility of additional income, however they will also decrease the negative utility of costs, making us less risk averse in the future.  So while addional income is worth less to us, cost are also worth much less.  It is wrong to consider preferences in longterm decision making.  Our ability to handle the burder of global warming is what matters, not how much we enjoy it.</p>
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		<title>By: John Quiggin</title>
		<link>http://crookedtimber.org/2006/12/05/close-to-zero/comment-page-1/#comment-181483</link>
		<dc:creator>John Quiggin</dc:creator>
		<pubDate>Thu, 07 Dec 2006 06:49:03 +0000</pubDate>
		<guid isPermaLink="false">http://crookedtimber.org/2006/12/05/close-to-zero/#comment-181483</guid>
		<description>To explain dw&#039;s last comment for the benefit of earlier commenters such #5, #18, #19, with eta = 1 an 1 per cent increase in income implies a 1 per cent reduction in the marginal utility of income. So if income is growing at x per cent per year (in may example 2 per cent) marginal future income is discount by 2 per cent for each year into the future it accrues.

A useful way to look at this, but also a source of some confusion, is that, with eta =1, a 1 per cent increase in income now has the same value as a 1 per cent increase in income at any point in the future. Since income is growing this means a given (constant dollar) increase in real income now is worth more than the same increase in the future.</description>
		<content:encoded><![CDATA[	<p>To explain dw&#8217;s last comment for the benefit of earlier commenters such #5, #18, #19, with eta = 1 an 1 per cent increase in income implies a 1 per cent reduction in the marginal utility of income. So if income is growing at x per cent per year (in may example 2 per cent) marginal future income is discount by 2 per cent for each year into the future it accrues.</p>

	<p>A useful way to look at this, but also a source of some confusion, is that, with eta =1, a 1 per cent increase in income now has the same value as a 1 per cent increase in income at any point in the future. Since income is growing this means a given (constant dollar) increase in real income now is worth more than the same increase in the future.</p>
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		<title>By: David Wright</title>
		<link>http://crookedtimber.org/2006/12/05/close-to-zero/comment-page-1/#comment-181480</link>
		<dc:creator>David Wright</dc:creator>
		<pubDate>Thu, 07 Dec 2006 05:47:39 +0000</pubDate>
		<guid isPermaLink="false">http://crookedtimber.org/2006/12/05/close-to-zero/#comment-181480</guid>
		<description>JQ: I just worked out the time-variation of the marginal welfare of an extra dollar and I see that you are right. Sorry for the incorrect information.</description>
		<content:encoded><![CDATA[	<p>JQ: I just worked out the time-variation of the marginal welfare of an extra dollar and I see that you are right. Sorry for the incorrect information.</p>
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		<title>By: John Quiggin</title>
		<link>http://crookedtimber.org/2006/12/05/close-to-zero/comment-page-1/#comment-181474</link>
		<dc:creator>John Quiggin</dc:creator>
		<pubDate>Thu, 07 Dec 2006 02:32:03 +0000</pubDate>
		<guid isPermaLink="false">http://crookedtimber.org/2006/12/05/close-to-zero/#comment-181474</guid>
		<description>&quot;The formula rho = eta (c’/c) + delta gives a discount rate for welfare, not a discount rate for money.&quot;
This is incorrect. Delta is the discount rate for utility (welfare). Rho is the discount rate for money.</description>
		<content:encoded><![CDATA[	<p>&#8220;The formula rho = eta (c&#8217;/c) + delta gives a discount rate for welfare, not a discount rate for money.&#8221;<br />
This is incorrect. Delta is the discount rate for utility (welfare). Rho is the discount rate for money.</p>
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		<title>By: dearieme</title>
		<link>http://crookedtimber.org/2006/12/05/close-to-zero/comment-page-1/#comment-181464</link>
		<dc:creator>dearieme</dc:creator>
		<pubDate>Wed, 06 Dec 2006 23:49:37 +0000</pubDate>
		<guid isPermaLink="false">http://crookedtimber.org/2006/12/05/close-to-zero/#comment-181464</guid>
		<description>Her Majesty&#039;s Government believes that all substantial bequests should be reduced by 40%: that surely implies that one should use a rather large discount rate.</description>
		<content:encoded><![CDATA[	<p>Her Majesty&#8217;s Government believes that all substantial bequests should be reduced by 40%: that surely implies that one should use a rather large discount rate.</p>
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		<title>By: David Wright</title>
		<link>http://crookedtimber.org/2006/12/05/close-to-zero/comment-page-1/#comment-181460</link>
		<dc:creator>David Wright</dc:creator>
		<pubDate>Wed, 06 Dec 2006 23:30:55 +0000</pubDate>
		<guid isPermaLink="false">http://crookedtimber.org/2006/12/05/close-to-zero/#comment-181460</guid>
		<description>1. Dsquared makes a great argument against choosing ethical parameters that reproduce emperically observed decision-making: it ignores the possibility that current decision-making might be unethical.

Lombard, though, has a good counter-point. He says: okay, use whatever delta and eta you want, but apply them consistently to all questions of sacrifice for the benefit of future generations, not just for CO2 emissions. Then when we are done calculating how much our generation &lt;i&gt;should&lt;/i&gt; sacrifice, and we see how much our generation actually &lt;i&gt;will&lt;/i&gt; sacrifice, direct those dollars to the projects that buy the most future welfare. Lombard claims that curing third world diseases, per dollar invested, buys more future welfare than reducing CO2 emissions. I don&#039;t know if that&#039;s true, but it is certainly possible.

2. The formula rho = eta (c&#039;/c) + delta gives a discount rate for welfare, not a discount rate for money. If utility is not proportional to money, those aren&#039;t the same. So testing whether a particular choice of eta and delta are emperically reasonable is not as simple as computing rho and comparing it to the interest rate. Fitting eta and delta to observed investment patterns involves seeing how much of their income people set aside in long-term investments and how that savings rate varies with income, not just looking at the rate of return on those investments.</description>
		<content:encoded><![CDATA[	<p>1. Dsquared makes a great argument against choosing ethical parameters that reproduce emperically observed decision-making: it ignores the possibility that current decision-making might be unethical.</p>

	<p>Lombard, though, has a good counter-point. He says: okay, use whatever delta and eta you want, but apply them consistently to all questions of sacrifice for the benefit of future generations, not just for <span class="caps">CO2</span> emissions. Then when we are done calculating how much our generation <i>should</i> sacrifice, and we see how much our generation actually <i>will</i> sacrifice, direct those dollars to the projects that buy the most future welfare. Lombard claims that curing third world diseases, per dollar invested, buys more future welfare than reducing <span class="caps">CO2</span> emissions. I don&#8217;t know if that&#8217;s true, but it is certainly possible.</p>

	<p>2. The formula rho = eta (c&#8217;/c) + delta gives a discount rate for welfare, not a discount rate for money. If utility is not proportional to money, those aren&#8217;t the same. So testing whether a particular choice of eta and delta are emperically reasonable is not as simple as computing rho and comparing it to the interest rate. Fitting eta and delta to observed investment patterns involves seeing how much of their income people set aside in long-term investments and how that savings rate varies with income, not just looking at the rate of return on those investments.</p>
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		<title>By: leederick</title>
		<link>http://crookedtimber.org/2006/12/05/close-to-zero/comment-page-1/#comment-181455</link>
		<dc:creator>leederick</dc:creator>
		<pubDate>Wed, 06 Dec 2006 22:04:17 +0000</pubDate>
		<guid isPermaLink="false">http://crookedtimber.org/2006/12/05/close-to-zero/#comment-181455</guid>
		<description>Isn&#039;t there also a problem that we have no say in whether intervening generations screw up our plans? If we go and prevent global warming in the interests of Generation 3+ down the line, what&#039;s to stop Generation 2 from going on a coal burning spree and making our sacrifice for naught?

It seems to me that it&#039;s just not possible to make these intergenerational transfers, the way you can between people currently existing, because you can only hold out the posibility of a contingent benefit for future generations in return for a real investment. You can&#039;t be certain that the transfer you want will take place.</description>
		<content:encoded><![CDATA[	<p>Isn&#8217;t there also a problem that we have no say in whether intervening generations screw up our plans? If we go and prevent global warming in the interests of Generation 3+ down the line, what&#8217;s to stop Generation 2 from going on a coal burning spree and making our sacrifice for naught?</p>

	<p>It seems to me that it&#8217;s just not possible to make these intergenerational transfers, the way you can between people currently existing, because you can only hold out the posibility of a contingent benefit for future generations in return for a real investment. You can&#8217;t be certain that the transfer you want will take place.</p>
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		<title>By: dsquared</title>
		<link>http://crookedtimber.org/2006/12/05/close-to-zero/comment-page-1/#comment-181454</link>
		<dc:creator>dsquared</dc:creator>
		<pubDate>Wed, 06 Dec 2006 22:02:42 +0000</pubDate>
		<guid isPermaLink="false">http://crookedtimber.org/2006/12/05/close-to-zero/#comment-181454</guid>
		<description>Paul; my second paragraph wasn&#039;t purely meant to be a joke.  Descriptively, people care about people roughly according to the inverse squared distance, and in a way that varies inversely with genetic distance.  It seems to me that your argument is too strong; if we&#039;re going to uncritically use revealed preference as a guide to moral intuition, then we&#039;re going to have a racist and nationalist discounting rule AFAICS.</description>
		<content:encoded><![CDATA[	<p>Paul; my second paragraph wasn&#8217;t purely meant to be a joke.  Descriptively, people care about people roughly according to the inverse squared distance, and in a way that varies inversely with genetic distance.  It seems to me that your argument is too strong; if we&#8217;re going to uncritically use revealed preference as a guide to moral intuition, then we&#8217;re going to have a racist and nationalist discounting rule <span class="caps">AFAICS</span>.</p>
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		<title>By: MQ</title>
		<link>http://crookedtimber.org/2006/12/05/close-to-zero/comment-page-1/#comment-181450</link>
		<dc:creator>MQ</dc:creator>
		<pubDate>Wed, 06 Dec 2006 21:26:38 +0000</pubDate>
		<guid isPermaLink="false">http://crookedtimber.org/2006/12/05/close-to-zero/#comment-181450</guid>
		<description>Comment #19 from Aaron strikes me as right on.  Economists shouldn&#039;t be trying to roll all this stuff up together to get a single cost/benefit metric which tells us how much we should spend today.  That is where you need to discount, and introduce lots of strong assumptions in places where non-technical types can&#039;t question them.  Instead, economists should be *unpacking* all the various possible consequences of global warming, presenting them as clearly as possible, and letting a democratic process sum up people&#039;s intuitions about whether we should put in a significant effort today to prevent it.

I actually think that something like this process is happening -- the polity is gradually deciding that we have some collective responsibility to spend something today, this conclusion is based on a wide range of evidence gathered from different sources, and people currently feel they want the spending to be fairly limited as yet.  The big econ models come in around the edges of the process, as one other form of rhetoric.</description>
		<content:encoded><![CDATA[	<p>Comment #19 from Aaron strikes me as right on.  Economists shouldn&#8217;t be trying to roll all this stuff up together to get a single cost/benefit metric which tells us how much we should spend today.  That is where you need to discount, and introduce lots of strong assumptions in places where non-technical types can&#8217;t question them.  Instead, economists should be <strong>unpacking</strong> all the various possible consequences of global warming, presenting them as clearly as possible, and letting a democratic process sum up people&#8217;s intuitions about whether we should put in a significant effort today to prevent it.</p>

	<p>I actually think that something like this process is happening&#8212;the polity is gradually deciding that we have some collective responsibility to spend something today, this conclusion is based on a wide range of evidence gathered from different sources, and people currently feel they want the spending to be fairly limited as yet.  The big econ models come in around the edges of the process, as one other form of rhetoric.</p>
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		<title>By: Paul Litvak</title>
		<link>http://crookedtimber.org/2006/12/05/close-to-zero/comment-page-1/#comment-181435</link>
		<dc:creator>Paul Litvak</dc:creator>
		<pubDate>Wed, 06 Dec 2006 19:34:44 +0000</pubDate>
		<guid isPermaLink="false">http://crookedtimber.org/2006/12/05/close-to-zero/#comment-181435</guid>
		<description>In response to Daniel,

I figured someone was going to make that exact counterargument (normative v descriptive). heres the question though.. where is the intuition for whats normatively correct coming from? doesn&#039;t the debate about whether it&#039;s proper to discount this much or that much come from some intuition? and if all you are doing is appealing to moral intuitions when advocating for this discount rate or another, then it seems that what people do *descriptively* when they are assessing time preference matters. unless you have an a priori standard for discounted utilty which does not appeal to consequences that our intuition tells us is tasteful or distasteful.

Paul</description>
		<content:encoded><![CDATA[	<p>In response to Daniel,</p>

	<p>I figured someone was going to make that exact counterargument (normative v descriptive). heres the question though.. where is the intuition for whats normatively correct coming from? doesn&#8217;t the debate about whether it&#8217;s proper to discount this much or that much come from some intuition? and if all you are doing is appealing to moral intuitions when advocating for this discount rate or another, then it seems that what people do <strong>descriptively</strong> when they are assessing time preference matters. unless you have an a priori standard for discounted utilty which does not appeal to consequences that our intuition tells us is tasteful or distasteful.</p>

	<p>Paul</p>
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		<title>By: Aaron_M</title>
		<link>http://crookedtimber.org/2006/12/05/close-to-zero/comment-page-1/#comment-181424</link>
		<dc:creator>Aaron_M</dc:creator>
		<pubDate>Wed, 06 Dec 2006 18:30:51 +0000</pubDate>
		<guid isPermaLink="false">http://crookedtimber.org/2006/12/05/close-to-zero/#comment-181424</guid>
		<description>Here are three reasons to discount the welfare of future generations:

1)	Risk of extinction
2)	Accounting for the declining marginal utility of benefits we provide to future generations because they are richer 
3)	Reasonable expectations upon any generation.

The third reason recognises the fact that once we get into long-term intergenerational cost/benefit analysis of the climate type saying, as welfare economists generally do, that the efficient thing to do is to maximise total welfare becomes hugely problematic. If costs now entail gains for several future generations and the avoidance of costs now entails costs for several future generations then the fact that there are many more people in the future (i.e. future generations 1+2+3+4+5…) makes the welfare interests of the future much more important than the welfare interests of any single generation (i.e. the current generation). 

There is enormous debate over how to model the first and second reasons for discounting, but it seems to me that what is really going on is that welfare economists intuitively reject as unreasonable the demands imposed on any current generation for maximizing intergenerational welfare. They then engage in various kinds of tinkering with how the model deals with 1 &amp; 2  in order to produce a CBA that gives them an answer on “efficiency” that seems reasonable (as opposed to welfare maximising) based on what they estimate current costs and future benefits to be and on how rich they estimate future generations to be. All this to avoid questioning their underlying utilitarian normative assumptions, assumptions that more often than not only serve to simplify analysis or to make the presentation of results seem more scientific (i.e. giving a clear single answer on what is efficient). 

As it stands the debate between economists over what is intergenerationally “welfare efficient” when it comes to climate change only gives us a lot of second rate theorising about intergenerational justice discussed under the guised of empirical assessment, which in turn is distracting and confusing.</description>
		<content:encoded><![CDATA[	<p>Here are three reasons to discount the welfare of future generations:</p>

	<p>1)Risk of extinction<br />
2)Accounting for the declining marginal utility of benefits we provide to future generations because they are richer<br />
3)Reasonable expectations upon any generation.</p>

	<p>The third reason recognises the fact that once we get into long-term intergenerational cost/benefit analysis of the climate type saying, as welfare economists generally do, that the efficient thing to do is to maximise total welfare becomes hugely problematic. If costs now entail gains for several future generations and the avoidance of costs now entails costs for several future generations then the fact that there are many more people in the future (i.e. future generations 1+2+3+4+5&#8230;) makes the welfare interests of the future much more important than the welfare interests of any single generation (i.e. the current generation).</p>

	<p>There is enormous debate over how to model the first and second reasons for discounting, but it seems to me that what is really going on is that welfare economists intuitively reject as unreasonable the demands imposed on any current generation for maximizing intergenerational welfare. They then engage in various kinds of tinkering with how the model deals with 1 &#038; 2  in order to produce a <span class="caps">CBA</span> that gives them an answer on &#8220;efficiency&#8221; that seems reasonable (as opposed to welfare maximising) based on what they estimate current costs and future benefits to be and on how rich they estimate future generations to be. All this to avoid questioning their underlying utilitarian normative assumptions, assumptions that more often than not only serve to simplify analysis or to make the presentation of results seem more scientific (i.e. giving a clear single answer on what is efficient).</p>

	<p>As it stands the debate between economists over what is intergenerationally &#8220;welfare efficient&#8221; when it comes to climate change only gives us a lot of second rate theorising about intergenerational justice discussed under the guised of empirical assessment, which in turn is distracting and confusing.</p>
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		<title>By: Adamsmithee</title>
		<link>http://crookedtimber.org/2006/12/05/close-to-zero/comment-page-1/#comment-181423</link>
		<dc:creator>Adamsmithee</dc:creator>
		<pubDate>Wed, 06 Dec 2006 18:22:46 +0000</pubDate>
		<guid isPermaLink="false">http://crookedtimber.org/2006/12/05/close-to-zero/#comment-181423</guid>
		<description>I&#039;m with Tom T., I can&#039;t get the Quiggin line that the Stern discount rate is effectively the growth rate plus 0.1 to reconcile with the Dasgupta critique --would love to know how that works...</description>
		<content:encoded><![CDATA[	<p>I&#8217;m with Tom T., I can&#8217;t get the Quiggin line that the Stern discount rate is effectively the growth rate plus 0.1 to reconcile with the Dasgupta critique&#8212;would love to know how that works&#8230;</p>
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		<title>By: Daniel</title>
		<link>http://crookedtimber.org/2006/12/05/close-to-zero/comment-page-1/#comment-181417</link>
		<dc:creator>Daniel</dc:creator>
		<pubDate>Wed, 06 Dec 2006 17:33:12 +0000</pubDate>
		<guid isPermaLink="false">http://crookedtimber.org/2006/12/05/close-to-zero/#comment-181417</guid>
		<description>Because this is a normative rather than descriptive exercise; the question that Stern is trying to answer is the relative weight that we should give to future generations.  While the joys and pains of future generations seem very nebulous and far off to us, they will seem very present indeed to them.

An analogy might be that we all (more or less, when talking in ethical terms) agree that the geographical discount rate ought to be zero - that it is arbitrary and wrong for me to discount the utility of other people based on how far away they live from London (we could even make assumptions about a &lt;i&gt;racial&lt;/i&gt; discount rate, whereby I assigned a lower weighting to other people&#039;s welfare based on their genetic distance from red-haired Welshmen).  This is based on a fundamental ethical principle of equality.  Given that, it seems hard to justify &quot;pure time preference&quot; because there is also a fundamental equality at work there; future generations will be people just like me.  The only justification for a positive delta is if we are allowing for the possibility of extinction or some such.

So, hyperbolic discounting doesn&#039;t really enter into this discussion - I don&#039;t think anyone is prepared to defend it as a sensible basis for planning, or as a social welfare function, are they?</description>
		<content:encoded><![CDATA[	<p>Because this is a normative rather than descriptive exercise; the question that Stern is trying to answer is the relative weight that we should give to future generations.  While the joys and pains of future generations seem very nebulous and far off to us, they will seem very present indeed to them.</p>

	<p>An analogy might be that we all (more or less, when talking in ethical terms) agree that the geographical discount rate ought to be zero &#8211; that it is arbitrary and wrong for me to discount the utility of other people based on how far away they live from London (we could even make assumptions about a <i>racial</i> discount rate, whereby I assigned a lower weighting to other people&#8217;s welfare based on their genetic distance from red-haired Welshmen).  This is based on a fundamental ethical principle of equality.  Given that, it seems hard to justify &#8220;pure time preference&#8221; because there is also a fundamental equality at work there; future generations will be people just like me.  The only justification for a positive delta is if we are allowing for the possibility of extinction or some such.</p>

	<p>So, hyperbolic discounting doesn&#8217;t really enter into this discussion &#8211; I don&#8217;t think anyone is prepared to defend it as a sensible basis for planning, or as a social welfare function, are they?</p>
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