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The Basic Market Equation

The Basic Market Equation. Price Theory. Cold Call Questions. What is the law of diminishing marginal utility: what happens if you assume the opposite? What is the law of diminishing marginal product: what happens if you assume the opposite? What is the link between SS #s and auctions?

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The Basic Market Equation

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  1. The Basic Market Equation Price Theory

  2. Cold Call Questions • What is the law of diminishing marginal utility: what happens if you assume the opposite? • What is the law of diminishing marginal product: what happens if you assume the opposite? • What is the link between SS #s and auctions? • What is Pareto optimal allocation • Why do monopolies misallocate resources? • Can demand curves slope up? • Can supply curves slope down? • What are Non-price adjustments for demand? For supply?

  3. Announcements • Spoon-feeding • Reflections • Project due dates • Next class

  4. Shift from Whole to Part • Whole is driven by photosynthesis and thermodynamics • Part is driven by prices and GDP

  5. What do markets do? • Do markets tell us the value of things? • What is value? • Why are diamonds worth more than water? • Use value • Exchange value • Why is food worth more to a rich overnourished person than to a poor, undernourished one. • Do markets tell us how scarce things are? • Why did oil prices remain flat for 100 years? • Why did we harvest North Atlantic Cod almost to extinction with only small price increases?

  6. What do markets do? • Markets equilibrate supply and demand • Does this mean everyone can satisfy their demand for anything? • Does mean people are guaranteed access to basic human needs? • Economists focus entirely on preferences, making no distinction for needs • Rationing function of price • Allocative function of price

  7. Equation Components • Marginal utility MUxn, MUyn, MUxm, MUym • What’s the marginal utility of a cure for African sleeping sickness to someone dying of African sleeping sickness? • What’s the marginal utility of Vaniqa to someone with excessive facial hair? • Commodities are the outputs of production. Commodity prices (Px =cost of life saving medicines, Py = cost of cosmetics)

  8. Equation Components • Factors are the inputs to production. Factor prices = Pa , Pb, Pc • Pa the wage of a scientist needed to develop the commodity • Pbthe cost of laboratory equipment to produce the commodity • Pc the cost of raw materials (e.g. eflornithine) • Marginal Physical Product (MPPax, MPPay, MPPbx, MPPby, ) • Assumes other factors are held constant • The laws of physics: can you produce more pizza just by hiring more cooks?

  9. Perfect Market • All firms and consumers are price takers • How do prices change? • Plans are adjusted to prices

  10. Basic Concepts • Law of diminishing marginal utility • Assume the opposite, increasing marginal utility • Law of diminishing marginal physical product • Assume the opposite, increasing marginal physical product. • What about economies of scale?

  11. Basic Concepts • Equimarginal principle of maximization • Consumer's equimarginal principle of utility maximization • MUxn/Px = MUyn/Py • Rearrange to get MUxn /MUyn = Px /Py

  12. Basic Concepts • Equimarginal principle of maximization • Producer's equimarginal principle of profit maximization • MPPax/Pa=MPPbx/Pb • What theoretically happens when we raise Pa to $9.00/hr? • How does this relate to the price of X and Y? • Pa=Px(MPPax) = Py(MPPay) or Px=Pa/MPPax= Py=Pa/MPPay • Rearrange to get MPPay/MPPax=Px/Py • Which industries get the resources? • Which industry can afford to pay the most for scientists, laboratories and raw materials, life saving medicines for the poor or cosmetics for the rich? • Allocative function of price

  13. The Basic Market Equation (cont.) MUxn/MUyn = Px/Py = MPPay/MPPax

  14. What’s so special about the Basic Market Equation? • MUxn/MUyn = rate at which consumers are willing to substitute X for Y (psychological rate of substitution) • Px/PY = rate at which consumers are able to substitute X for Y (Market rate of substitution) • MPPay/MPPax = rate at which producers are able to produce ‘transform’ one good into another (technical rate of transformation or marginal rate of technical substitution) by reallocating factors of production

  15. What’s so special about the Basic Market Equation? • Equation holds for all consumers m, n, o • All products x, y, z • All factors of production a, b, c • Decentralized information

  16. What’s so special about the Basic Market Equation? • Markets balance what is possible with what is desirable • Resources flow to those who value them most • Leads to ‘optimal’ allocation of resources • Consumers maximize utility • Producers maximize profits

  17. Reality Check • So does society produce the right balance of life saving diseases and cosmetics? • Who values eflornithine most, dying Africans or hairy women? • Rationing function of price • Pareto optimality: Everyone is as well off as can be without making someone else worse off. • How do we choose between Pareto Optimal outcomes? • Many other reality checks to come!

  18. Other assumptions not mentioned? • Do things that are not bought and sold compete for resources with things that are? • E.g. ecosystem structure and ecosystem services • Can everyone participate in the market?

  19. Monopoly • Headlines: Mega-Mergers See Comeback as Uncertainty of Crisis Fades • Monopolists are price makers • Marginal revenue for monopolist is less than price • Monopolists maximize profits by producing less than is socially ‘optimal’. • Are monopolies relevant to the eflornithine example?

  20. Non-Price Adjustments • How can we alter the desirability conditions (MU ratios?) • How can we alter the possibility conditions (MPP ratios) • What would happen if we redistributed wealth?

  21. Demand Curve • MUxn/Px=MUyn/Py • Let y = money, and let Py = 1. • Then MUxn/Px=MUmn, and • Px = MUxn/MUmn. • We keep trading money for good X until we maximize utility.

  22. Demand curve (cont.) • Px = MUxn/MUmn • How do we adjust if Px drops? What part of this demand curve corresponds to Africans’ demand for eflornithine?

  23. Reality Check • Does Px really equal Muxn? • Social security numbers and auctions

  24. Supply curve • Px=MCx • This is the condition for being on the supply curve • Remember that we are assuming increasing marginal costs. • Px=MCx=Pa/MPPax=Pb/MPPbx=... • Remember units. Px=$/X, Pa/MPPax=$/X • Look at Px=Pa/MPPax. Say Px increases. Pa stays the same, so MPPax must decrease. More a must be used, so Q increases.

  25. Demand and Supply (cont.) • Supply curve

  26. Demand and Supply (cont.) • Supply and demand together MUxn/MUmn=Px=Pa/MPPax MUyn/MUmn=Py=Pa/MPPyx

  27. To think about • Can we make more pizza by simply using more ovens or more cooks? • Markets make decisions based on the principle of one dollar, one vote. Is this appropriate for all resources? • Do you think markets allocate scientists towards their best possible use? • What about information? • Many ecological economists are trying to price non-market goods and services (e.g. ecosystem services). If we could do this, would it lead to their optimal allocation?

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