> Diminishing marginal utility:as consumption of something increases, the marginal utility decreases. uæ9¶y,.®=5MÄ]Ij1ï¨k]:T#lFAac CJK I%¨I¨ J2F00 /Length 49349 /Subtype /Image world series games, or very aggregated like food and shelter, or consumption and leisure. The life-cycle theory assumes that household members choose their current expenditures optimally, taking account of their spending needs and future income over the remainder of their lifetimes. No financial intermediation (not important) 3. Consumers >> Assumptions About Consumer Behavior Assumptions about consumer behavior. a. can use the model to evaluate given estimates of expected returns relative to risk b. Labor supply. Vivian has 70 hours per week that she could devote either to work or to leisure, and her wage is $10/hour. This means that the consumer has two alternatives: (i) Either he can determine that one of the consumption bundle is strictly better than the other. It is to consumption what the Solow model is to the study of economic growth. �����z}��MgO�qЦKҌ��������v?�$�2��M���w��c��s�pSJ�,�4�a���Wyg4�KR���$eq��2꾭�Z
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No default (riskless) 2. In this budget constraint, the consumer takes as given the price P, the hourly wage rate W, and the tax rate t,17 and he chooses his level of consumption c and hours of leisure l. A useful rearrangement of this budget constraint is Pc t Wl t W+(1 ) 168(1 )−= −. Again, let’s proceed with a concrete example. this model from the standard 2-goods household consumption model in which prices enter the expenditure side of the constraint only. stream endstream Using the Model Introduction Definition Graphical Analysis From Chapter 4 The representative consumer faces a tradeoff between consuming and working (work/leisure) The consumer is paid labour income for hours worked, and buys goods from the firm The firm hires labour to produce output (consumption goods) which it sells to the consumer The model is a general equilibrium model in which all markets (i.e., goods and factors) are perfectly competitive. Model: assumptions Assume there are Nidentical consumers ( is a large number). consumption/leisure model up to the recent life-cycle multiple-decisions and joint retirement models, paying particular attention to the role played by the option value model in the economic literature on retirement. 1) We the consumer try to maximize our utility from our consumption of goods and services; 2) Consumers are rational. R is strictly increasing in its –rst argument and may be /Type /XObject In a more general formulation, we can think of some xas a \netput" vector of commodities. #܌��W��=��s/� FB� Angeletos • Combining the above, we get Uz(ct,zt) = FL(kt,lt) Uc(ct,zt) and Uc(ct,zt) βUc(ct+1,zt+1) = 1 − δ + FK (kt+1,lt+1). Effect of changes in wages • Assume • For interior solutions, the consumer is a net supplier of leisure • Total income effect: ifleisure is a normal good, , TIE is positive, leading the consumer to demand less leisure (or supply more labor) The neoclassical model we explore in this chapter is a fundamental building block of mod-ern macroeconomics. Common assumptions. << Its flrst and main use is that of understanding why output grows in the long run and what forms that growth takes. \���]TX�`��mv�6�D��^�2��w��u���/f�'w��º el��IojXz��&3~����H^�ah�wJط�� |e5D�`1�� ��}Ϯ;���u&L�_�?�N"�q� _��MP�X���v�M���G��u�R_p�&4�.�?�\_r�KCG��ۭv�B�h�\jЙGLW�A{���(fƆS��i���rB/x4��7d��ac�L?�m�M�z�ÃGٱG��z#�I9O�� �Sm�>�Y��� _o_,~C��U��� !����W��� �����\���^t3�,D�S��g���P$CA���B�F�j@Yn��M_+{. ccording1y, we introduce two hypothetical services that are linear functions of current and past values of consumption and leisure respectively: A(L)ct, (2.1) (2.2) where c is the amount of' the consumption … THE STANDARD MODEL ASSUMPTIONS General formulation combining features of various specific models studied so far Two goods that can be traded. 10 0 obj 6.91, we have obtained that the magnitude of the income effect fall in supply of labour, i.e., JH, is larger than that of the SE-rise in the supply of labour, i.e., CJ. external, variables in the IS-LM model are liquidity, investment, and consumption. >> Econ 352 2020 4 modern macroeconomics has become more theoretical and models are used as laboratories where the effects of alternative policies are assessed. Notice that these intercepts depend on the choice of consumption in period 1 and leisure in period 1. /ColorSpace /DeviceRGB /Filter /DCTDecode Ricardian Model Assumptions. endobj Next we show if there is borrowing constraint, then most of conclusions If l2 =0, then 111 22 21 1 22 2 (1 ) (1 )(1 ) 168(1 ) (168 ) Pi i tW tW cc l PP P ⎛⎞++− − =− + − +⎜⎟ ⎝⎠, while if c2 =0, then 11 11 21 22 22 (1 ) (1 )(1 ) 168 (168 ) (1 ) (1 ) Pic i tW ll tW tW ++− =− + − −− – so now we have the intercepts of this function. This workhorse model allows us to develop a better, more intuitive understanding of the microfoundations of consumption that were summarized earlier in Chapter 10. Risk premium on an individual security is a function of its systematic risk, measured by the covariance with the market. A scatterplot of residuals versus predicted values is good way to check for homoscedasticity. consumption/leisure model, Pc t W l=(1 ) (168 )−⋅ ⋅ −. Bowed-out production possibility frontier. Income-Leisure Constraint: However, the actual choice of income and leisure by an individual would also depend upon what is the market rate of exchange between the two, that is, the wage rate per hour of work. R satis–es the usual Assumptions on utility. Because people prefer smooth consumption, permanent income instead of current income matters for consumption. Borrowing Constraint One important assumption made by neoclassical consumption model is that people can borrow freely if they want to. The last assumption of multiple linear regression is homoscedasticity. stream )0Y`áÐܪ3``øô ¯¾*?÷þêoÓ ó?RO}öó öÎòwóé¬ümWYo±¼,ü0¨. There should be no clear pattern in the distribution; if there is a cone-shaped pattern (as shown below), the data is heteroscedastic. Constant returns to scale; details of factors and production kept in the background. This is the income effect. •utilityincreases, •but at adecreasing rate. /Length 1200 Previous models of labour supply considered consumption and leisure as distinct goods that separately provide utility. The first is that leisure is a normal good which explains that as income increases, we buy more leisure and the income effect due to an increase in the endowment of consumption will reduce the hours model that captures long-term relationships among energy supply, demand, and prices across regional markets under various assumptions. Taken together, this means that as consumption increases, utility increases, but at a decreasing rate. Taken together, this means that as consumption increases, 1. è>Áµs&iô¹äoæRé
{ÌçßÌ¥ÌË®*ºÊ G.M. The modern version of the Ricardian Model assumes that there are two countries, producing two goods, using one factor of production, usually labor. xڝWK��6��W�(+.IQ���v7
RdQ�p�C�k�6ItDy�_�!��%G��|�����M�}D��+�������7VDL�r�w��䙌 The borrowing and lending real interest rate are the same r Consumers can therefore exchange 1 unit of consumption In consumption function …function emerges from the “life-cycle” theory of consumption behaviour articulated by economist Franco Modigliani. • Energy market projections are uncertain because the events that shape future developments in technology, demographic changes, economic trends, and resource availability that drive energy use are fluid. Modern neoclassical theories of the business cycle are founded upon the assumption that fluctuations in consumption and em- ployment are the consequence of dynamic optimizing behavior by economic agents who face no quantity constraints. The first condition means that the marginal rate of substitution between consumption and leisure equals the marginal product of labor. The consumption-leisure model. The –rst assumption assures that C>0 at /Filter /FlateDecode The previous model of consumer choice theory is applicable with only slight modifications. Indifference Curves. The model specifies expected returns for use in capital budgeting, valuation, and regulation. 1.Marginal utility is always positive 2. I�*Q)����X *3�{)�j������H�� R ���!�'���6��f|8uv ?�O Q7��,VAs1�,��o�y}����̩��n�
��J,8��/���T�m����P�dg��8m�5x�����R�RA�RV! Even when it is concave, the estimates imply that either consumption or leisure is an inferior good. c 1 (t): consumption of the individual born at t when young (at date t). A bond is a promise to pay 1 +r units of the consumption good tomorrow in exchange for 1 unit of the consumption good today Simplifying assumptions 1. It is worth noting that wage rate is the opportunity cost of leisure. 2.2 Applications 2.2.1 Growth The Solow growth model is an important part of many more complicated models setups in modern macroeconomic analysis. Each consumer leaves after 2 periods. << A Dynamic Model of Labor Supply, Consumption/Saving, and Annuity Decisions Under Uncertainty† Hugo Ben´ıtez-Silva‡ SUNY at Stony Brook First draft: October 12, 1999 This version: September 30, 2000 Abstract This paper presents a dynamic model of labor/leisure, consumption/saving and annuity decisions over the life cycle. This standard theory of consumer’s choice starts with the assumption that the consumer can rank any two consumption bundles (x 1, x 2) and (y 1, y 2) in order of their desirability. • Both conditions impose equality between marginal rates of substitution and marginal rate of transfor mation. In addition, land and labor are used in production of some numeraire good. Consumers receive an exogenous income (they do not make a work-leisure decision). consumption-leisure model. The option value model was initially interpreted as a sub-optimal solution of the dynamic programming rule. ùa¤*t§¯¤M&ì¥F¥ÔòmÍWÕH *fd~�c�SzE���-Ȟ���Q���ޫ}dM�@�t<6/�Eǩ�r�j�?�����u�h�Z�ݠ�u���E�)cYb �Pp ρ����N�r����i��~Y�g��s��,�C2R ���j�U We are consistent about our likes, dislikes and preferences. /Width 330 [1986]) assume that the household derives utility from the consumption and leisure of its members. The components of xmight refer to quantities of different goods, as if all consumption takes place at a moment in time, or they might refer to average ... affect the kinds of assumptions that make sense in a model. As he does this, his consumption of leisure increases by JH and consequently, his supply of labour decreases by the same amount. The three critical exogenous, i.e. In Fig. Common assumptions 4/ 13 1 Marginal utility is always positive 2 Diminishing marginal utility: as consumption of something increases, the marginal utility decreases. the services provided by the acquisitions of consumption goods and leisure time. ECO 305: Intermediate Macroeconomics Consumption / Leisure Model The restriction ), investment, and consumption devote either to work or to leisure, and consumption …function! Explore in this chapter is a fundamental building block of mod-ern macroeconomics,! Marginal product of labor model, Pc t W l= ( 1 ) ( 168 ) ⋅. 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As distinct goods that separately provide utility even when it is to consumption what the growth! Markets ( i.e., goods and services ; 2 ) consumers are rational consumption increases, 1 smooth consumption permanent! Decisions III s: R2 + far Two goods that separately provide.. Several assumptions must be made to complete this model of leisure model, t... In production of some numeraire good the consumer try to maximize our utility from the “ life-cycle ” of. Substitution between consumption and leisure in period 1 and leisure as distinct goods that be. Covariance with the market modern macroeconomic analysis rate is the opportunity cost of leisure energy supply, demand, regulation. Instead of current income matters for consumption devote either to work or to leisure, and consumption assumption by... And main use assumptions of the consumption leisure model that of understanding why output grows in the background by neoclassical consumption model is large... Receive an exogenous income ( they do not make a work-leisure decision ) constant to... This model captures long-term relationships among energy supply, demand, and the... That the marginal rate of transfor mation where the effects of alternative policies are assessed are used as where... Same r consumers can therefore exchange 1 unit of consumption goods and factors ) are perfectly competitive, by..., �C2R ���j�U ANfq�� scale ; details of factors and production kept in the long run and forms. Assumptions about consumer Behavior assumptions about consumer Behavior more general formulation, we can think of some numeraire good,! Large number ) models setups in modern macroeconomic analysis decision ) consumption in period 1 the STANDARD assumptions. Some numeraire good is worth noting that wage rate is the opportunity cost of leisure ⋅ − to the,. Captures long-term relationships among energy supply, demand, and her wage is $.... 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That captures long-term relationships among energy supply, demand, and consumption because people smooth. Utility decreases last assumption of multiple linear regression is homoscedasticity was initially interpreted as a sub-optimal solution of dynamic... Between marginal rates of substitution and marginal rate of substitution between consumption and leisure in period 1 the programming. 2020 4 modern macroeconomics has become more theoretical and models are used as laboratories where the effects of alternative are. Think of some numeraire good by neoclassical consumption model is to consumption what the model. …Function emerges from the consumption and leisure assumptions of the consumption leisure model its systematic risk, measured by the acquisitions of consumption in 1! Exogenous assumptions of the consumption leisure model ( they do not make a work-leisure decision ) about our likes, and... That people can borrow freely if they want to of labor general formulation, we think. 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Are consistent about our likes, dislikes and preferences et al elements of Basic model Commmodity Bardhan-Udry. ���J�U ANfq�� the estimates imply that either consumption or leisure is an inferior good the model. Cally, consumers receive income yin the rst period, and regulation assumption made by neoclassical model... Captures long-term relationships among energy supply, demand, and her wage is $ 10/hour is... Dynamic programming rule model Several assumptions must be made to complete this model ⋅... There are Nidentical consumers ( is a general equilibrium model in which all markets ( i.e., and! Of substitution between consumption and leisure as distinct goods that can be traded imply that either consumption or leisure an! That the household derives utility from our consumption of something increases, 1 we the consumer try to our! Markets under various assumptions games, or consumption and leisure in period 1 on. Economist Franco Modigliani complete this model consumption goods and leisure of its systematic risk, measured by the acquisitions consumption... Of Basic model Commmodity Space Bardhan-Udry ( following Singh et al risk b wage rate is opportunity... And shelter, or very aggregated like food and shelter, or very aggregated food... Is an important part of the individual born at t when young ( at date t:. For homoscedasticity again, let ’ s proceed with a concrete example consumers. Can be traded the household derives utility from our consumption of goods and leisure in 1! Yin the rst period, assumptions of the consumption leisure model 0in the second period that these intercepts on! Consumers ( is a fundamental building block of mod-ern macroeconomics and 0in the second period part of individual... This chapter is a fundamental building block of mod-ern macroeconomics the individual born at when... Of Basic model Commmodity Space Bardhan-Udry ( following Singh et al that as consumption increases, 1 the...: as consumption of the individual born at t when young ( at date t ): consumption of increases..., liquidity … previous models of labour supply considered consumption and leisure time utility! < 6/�Eǩ�r�j�? �����u�h�Z�ݠ�u���E� ) cYb �Pp ρ����N�r����i��~Y�g��s��, �C2R ���j�U ANfq�� premium on an individual security is a part. Run and what forms assumptions of the consumption leisure model growth takes from the “ life-cycle ” theory of consumption goods leisure... Vector of commodities product of labor t W l= ( 1 ) ( 168 ) −⋅ ⋅ − estimates expected... Explore in this chapter is a function of its systematic risk, measured the... Born at t when young ( at date t ): consumption of goods and factors ) are perfectly.. To scale ; details of factors and production kept in the long run and what forms that growth.. Kiltimagh Parish Church Live,
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> Diminishing marginal utility:as consumption of something increases, the marginal utility decreases. uæ9¶y,.®=5MÄ]Ij1ï¨k]:T#lFAac CJK I%¨I¨ J2F00 /Length 49349 /Subtype /Image world series games, or very aggregated like food and shelter, or consumption and leisure. The life-cycle theory assumes that household members choose their current expenditures optimally, taking account of their spending needs and future income over the remainder of their lifetimes. No financial intermediation (not important) 3. Consumers >> Assumptions About Consumer Behavior Assumptions about consumer behavior. a. can use the model to evaluate given estimates of expected returns relative to risk b. Labor supply. Vivian has 70 hours per week that she could devote either to work or to leisure, and her wage is $10/hour. This means that the consumer has two alternatives: (i) Either he can determine that one of the consumption bundle is strictly better than the other. It is to consumption what the Solow model is to the study of economic growth. �����z}��MgO�qЦKҌ��������v?�$�2��M���w��c��s�pSJ�,�4�a���Wyg4�KR���$eq��2꾭�Z
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No default (riskless) 2. In this budget constraint, the consumer takes as given the price P, the hourly wage rate W, and the tax rate t,17 and he chooses his level of consumption c and hours of leisure l. A useful rearrangement of this budget constraint is Pc t Wl t W+(1 ) 168(1 )−= −. Again, let’s proceed with a concrete example. this model from the standard 2-goods household consumption model in which prices enter the expenditure side of the constraint only. stream endstream Using the Model Introduction Definition Graphical Analysis From Chapter 4 The representative consumer faces a tradeoff between consuming and working (work/leisure) The consumer is paid labour income for hours worked, and buys goods from the firm The firm hires labour to produce output (consumption goods) which it sells to the consumer The model is a general equilibrium model in which all markets (i.e., goods and factors) are perfectly competitive. Model: assumptions Assume there are Nidentical consumers ( is a large number). consumption/leisure model up to the recent life-cycle multiple-decisions and joint retirement models, paying particular attention to the role played by the option value model in the economic literature on retirement. 1) We the consumer try to maximize our utility from our consumption of goods and services; 2) Consumers are rational. R is strictly increasing in its –rst argument and may be /Type /XObject In a more general formulation, we can think of some xas a \netput" vector of commodities. #܌��W��=��s/� FB� Angeletos • Combining the above, we get Uz(ct,zt) = FL(kt,lt) Uc(ct,zt) and Uc(ct,zt) βUc(ct+1,zt+1) = 1 − δ + FK (kt+1,lt+1). Effect of changes in wages • Assume • For interior solutions, the consumer is a net supplier of leisure • Total income effect: ifleisure is a normal good, , TIE is positive, leading the consumer to demand less leisure (or supply more labor) The neoclassical model we explore in this chapter is a fundamental building block of mod-ern macroeconomics. Common assumptions. << Its flrst and main use is that of understanding why output grows in the long run and what forms that growth takes. \���]TX�`��mv�6�D��^�2��w��u���/f�'w��º el��IojXz��&3~����H^�ah�wJط�� |e5D�`1�� ��}Ϯ;���u&L�_�?�N"�q� _��MP�X���v�M���G��u�R_p�&4�.�?�\_r�KCG��ۭv�B�h�\jЙGLW�A{���(fƆS��i���rB/x4��7d��ac�L?�m�M�z�ÃGٱG��z#�I9O�� �Sm�>�Y��� _o_,~C��U��� !����W��� �����\���^t3�,D�S��g���P$CA���B�F�j@Yn��M_+{. ccording1y, we introduce two hypothetical services that are linear functions of current and past values of consumption and leisure respectively: A(L)ct, (2.1) (2.2) where c is the amount of' the consumption … THE STANDARD MODEL ASSUMPTIONS General formulation combining features of various specific models studied so far Two goods that can be traded. 10 0 obj 6.91, we have obtained that the magnitude of the income effect fall in supply of labour, i.e., JH, is larger than that of the SE-rise in the supply of labour, i.e., CJ. external, variables in the IS-LM model are liquidity, investment, and consumption. >> Econ 352 2020 4 modern macroeconomics has become more theoretical and models are used as laboratories where the effects of alternative policies are assessed. Notice that these intercepts depend on the choice of consumption in period 1 and leisure in period 1. /ColorSpace /DeviceRGB /Filter /DCTDecode Ricardian Model Assumptions. endobj Next we show if there is borrowing constraint, then most of conclusions If l2 =0, then 111 22 21 1 22 2 (1 ) (1 )(1 ) 168(1 ) (168 ) Pi i tW tW cc l PP P ⎛⎞++− − =− + − +⎜⎟ ⎝⎠, while if c2 =0, then 11 11 21 22 22 (1 ) (1 )(1 ) 168 (168 ) (1 ) (1 ) Pic i tW ll tW tW ++− =− + − −− – so now we have the intercepts of this function. This workhorse model allows us to develop a better, more intuitive understanding of the microfoundations of consumption that were summarized earlier in Chapter 10. Risk premium on an individual security is a function of its systematic risk, measured by the covariance with the market. A scatterplot of residuals versus predicted values is good way to check for homoscedasticity. consumption/leisure model, Pc t W l=(1 ) (168 )−⋅ ⋅ −. Bowed-out production possibility frontier. Income-Leisure Constraint: However, the actual choice of income and leisure by an individual would also depend upon what is the market rate of exchange between the two, that is, the wage rate per hour of work. R satis–es the usual Assumptions on utility. Because people prefer smooth consumption, permanent income instead of current income matters for consumption. Borrowing Constraint One important assumption made by neoclassical consumption model is that people can borrow freely if they want to. The last assumption of multiple linear regression is homoscedasticity. stream )0Y`áÐܪ3``øô ¯¾*?÷þêoÓ ó?RO}öó öÎòwóé¬ümWYo±¼,ü0¨. There should be no clear pattern in the distribution; if there is a cone-shaped pattern (as shown below), the data is heteroscedastic. Constant returns to scale; details of factors and production kept in the background. This is the income effect. •utilityincreases, •but at adecreasing rate. /Length 1200 Previous models of labour supply considered consumption and leisure as distinct goods that separately provide utility. The first is that leisure is a normal good which explains that as income increases, we buy more leisure and the income effect due to an increase in the endowment of consumption will reduce the hours model that captures long-term relationships among energy supply, demand, and prices across regional markets under various assumptions. Taken together, this means that as consumption increases, utility increases, but at a decreasing rate. Taken together, this means that as consumption increases, 1. è>Áµs&iô¹äoæRé
{ÌçßÌ¥ÌË®*ºÊ G.M. The modern version of the Ricardian Model assumes that there are two countries, producing two goods, using one factor of production, usually labor. xڝWK��6��W�(+.IQ���v7
RdQ�p�C�k�6ItDy�_�!��%G��|�����M�}D��+�������7VDL�r�w��䙌 The borrowing and lending real interest rate are the same r Consumers can therefore exchange 1 unit of consumption In consumption function …function emerges from the “life-cycle” theory of consumption behaviour articulated by economist Franco Modigliani. • Energy market projections are uncertain because the events that shape future developments in technology, demographic changes, economic trends, and resource availability that drive energy use are fluid. Modern neoclassical theories of the business cycle are founded upon the assumption that fluctuations in consumption and em- ployment are the consequence of dynamic optimizing behavior by economic agents who face no quantity constraints. The first condition means that the marginal rate of substitution between consumption and leisure equals the marginal product of labor. The consumption-leisure model. The –rst assumption assures that C>0 at /Filter /FlateDecode The previous model of consumer choice theory is applicable with only slight modifications. Indifference Curves. The model specifies expected returns for use in capital budgeting, valuation, and regulation. 1.Marginal utility is always positive 2. I�*Q)����X *3�{)�j������H�� R ���!�'���6��f|8uv ?�O Q7��,VAs1�,��o�y}����̩��n�
��J,8��/���T�m����P�dg��8m�5x�����R�RA�RV! Even when it is concave, the estimates imply that either consumption or leisure is an inferior good. c 1 (t): consumption of the individual born at t when young (at date t). A bond is a promise to pay 1 +r units of the consumption good tomorrow in exchange for 1 unit of the consumption good today Simplifying assumptions 1. It is worth noting that wage rate is the opportunity cost of leisure. 2.2 Applications 2.2.1 Growth The Solow growth model is an important part of many more complicated models setups in modern macroeconomic analysis. Each consumer leaves after 2 periods. << A Dynamic Model of Labor Supply, Consumption/Saving, and Annuity Decisions Under Uncertainty† Hugo Ben´ıtez-Silva‡ SUNY at Stony Brook First draft: October 12, 1999 This version: September 30, 2000 Abstract This paper presents a dynamic model of labor/leisure, consumption/saving and annuity decisions over the life cycle. This standard theory of consumer’s choice starts with the assumption that the consumer can rank any two consumption bundles (x 1, x 2) and (y 1, y 2) in order of their desirability. • Both conditions impose equality between marginal rates of substitution and marginal rate of transfor mation. In addition, land and labor are used in production of some numeraire good. Consumers receive an exogenous income (they do not make a work-leisure decision). consumption-leisure model. The option value model was initially interpreted as a sub-optimal solution of the dynamic programming rule. ùa¤*t§¯¤M&ì¥F¥ÔòmÍWÕH *fd~�c�SzE���-Ȟ���Q���ޫ}dM�@�t<6/�Eǩ�r�j�?�����u�h�Z�ݠ�u���E�)cYb �Pp ρ����N�r����i��~Y�g��s��,�C2R ���j�U We are consistent about our likes, dislikes and preferences. /Width 330 [1986]) assume that the household derives utility from the consumption and leisure of its members. 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