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Modeling Individual Choice Chapter 2
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2 Individual Choice Individual Choice in Buying Goods: Theory Individuals want to be as happy as possible. Individuals gain happiness from the consumption of goods / services. The more consumption the better, at least to a satiation point. The happiness we gain becomes less and less as we consume more and more of any good. The “Law of Diminishing Marginal Utility”
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Robinson Crusoe - Why?
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Assumptions No scarcity No production is necessary No future or sense of time passing No risk or uncertainty
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Definitions Utility - Satisfaction Consume - the act of deriving utility Note: not always used up. –Consume pizza - gone –Consume art - still there
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Goods Tangible, can be stored – Ex. Food, sneakers Services - intangible, cannot be stored – Ex. Haircut
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More Assumptions People know what gives them utility, and can rank items by the utility they receive from an item Rational behavior - utility maximizingRational behavior Assumption - people are rational Rational households consume goods and services in order to derive the maximum utility
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New assumption Ceteris paribus, the utility one derives from the consumption of a good decreases with each successive unit consumed Ex. Dying of thirst 1st sip - much utility 2nd sip - less so eventually - no utility
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More clearly stated: Ceteris paribus, the utility one derives from the consumption of a good decreases with each successive unit consumed or one experiences diminishing marginal utility
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We can make up a unit of utility We’ll call it a util Eventually, as you keep eating you get to the point where you derive no satisfaction At this point, MU=0
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M&Ms
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12 Utility maximization, marginal utility / total utility / diminishing marginal utility You are given the following information about the utility value of Big Mac's (assuming the burgers are free) number of Big Mac's MU total utility 1 100 X 2 90 Y 3 Z 270 4 5 P 5 0 Q 6 -10 R Use the information above to answer questions 1 -7 keeping the Law Of Diminishing Marginal Utility in mind 1. - the value of X would be _____ 2. - the value of Y would be _____ 3. - the value of Z would be _____ 4. - the value of P would be _____ 5. - the value of Q would be _____ 6. - the value of R would be _____ 7. - a rational consumer would consume HOW MANY Big Mac's ____ = satiation
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13 Utility maximization, marginal / total utility You are given the following information about the utility value of Big Mac's (assuming the burgers are free) number of Big Mac's MU total utility 1 100 X 2 90 Y 3 Z 270 4 5 P 5 0 Q 6 -10 R Use the information above to answer questions 1 -7 keeping the Law Of Diminishing Marginal Utility in mind 1. - the value of X would be __100___ 2. - the value of Y would be __190___ 3. - the value of Z would be ___80___ 4. - the value of P would be __275___ 5. - the value of Q would be __275___ 6. - the value of R would be __265___ 7. - a rational consumer would consume HOW MANY Big Mac's _4_ = satiation
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MU’s From 3 Different Activities
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15 Given no scarcity - I will consume until I satiate my want for good 1 – so I will consume until the marginal utility = 0 utils (Bliss Point). The same would be true for good 2, 3, … Or until MU 1 = MU 2 = MU 3 = … = MU n = 0.
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If time were not scarce You could think of the decision rule as MU1 = MU2 = MU3=…= MUn = 0 Unitoftime Unitoftime
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Time IS Scarce 7 hours of play – MU=50 3 hours of study – MU=70
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How to optimize- The optimal allocation is the one which maximizes utility Do another hour of the choice which gives you the higher marginal utility
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A new allocation 6 hours of play – MU=60 4 hours of study – MU=60
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2.5.2 Your Decision Rule under Scarcity MU1 = MU2 = MU3=…= MUn = X Unit Unit Where X can be >0 How do people maximize utility in the face of scarcity? Answer: We balance at the Margins!!
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2.6 Relaxing Factors of Production Stuff doesn’t just appear like magic for you to consume Endowment- all the natural and human resources from which all goods and services are produced Endowment may not be fixed, but it is finite, so scarcity is an issue
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On Factors Factors of production – basic inputs we use to produce, such as Natural resources – in, on or around the earth Labor- human work Together, these first two are called the natural endowment
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Capital physical capital (machines) human capital (skills, innate and acquired).
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Allocation, Techniques, and Technology Allocated – we decide how to use the factors Process of production – transforming the inputs into an good, or service Technique- one way of combining inputs Technology – set of all available techniques
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Types of techniques Labor-intensive technique- uses primarily labor Capital-intensive technique – uses primarily capital Firms usually choose the cheapest way
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Scale of Production Refers to the size of the process of production Returns to scale – how does a change in scale affect output? Ex. If double inputs – less than doubles the output –decreasing returns to scale If double inputs – doubles the output – constant returns to scale If double inputs - more than doubles the output – increasing returns to scale We assume decreasing returns to scale
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Marginal Productivity The additional output that comes from an additional unit of input is called the marginal product (MP) While MP can increase for a while, It will eventually diminish If inputs were free, to maximize production you would use inputs until MP=0 for all inputs
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The Law of Diminishing Returns The Law of Diminishing Returns – as a firm uses more and more of a given input such as labor, ceteris paribus on the other inputs, there will come a time when the marginal product of labor will decrease (i.e. Diminishing Marginal Product of Labor).
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Value from the marginal product – V So far, we have two independent rules: MU1=MU2=MU3=…=MUn=0 (consumption of free goods) MP1= MP2 = MP3=…=MPn=0 (use of free inputs) Now we need to bridge the two
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Labor (HRs)Marginal Product (MP) Rabbits Total Product Rabbits 111 223 336 428 519 609
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Marginal Utility Schedule RabbitMU 1 st 100 2 nd 90 3 rd 80 4 th 70 5 th 60 6 th 50 7 th 40 8 th 30 9 th 20
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Calculating V (Marginal Product) LaborRabbits and MUMarginal Product Total Utility 1 st 1@100100 2 nd 2@90+3@80170270 3 rd 4@70+5@60+6@50180450 4 th 7@40+8@3070520 5 th 9@2020540 6th00540
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V schedules
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Decision rule
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