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UW-Madison ECON 522 - Lecture 16 Notes

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Econ 522 Economics of LawSlide 1The law as incentives – HW2 Q3 (from old midterm)If we think about payoffs after the fact (after accident, after treatment)…So what is the right way to think about the problem?Something to rememberSlide 6Monday…PrecautionSlide 10Model of unilateral harmSlide 12Slide 13Slide 14Slide 15Slide 15Effect of liability rules on precautionRule 1: No LiabilityRule 1: No Liability Injurer precautionRule 1: No Liability Victim precautionSlide 21Rule 2: Strict LiabilityRule 2: Strict Liability Injurer precautionRule 2: Strict Liability Victim precautionSlide 25So for accidents with unilateral precaution…Rule 3: Simple NegligenceRule 3: Simple Negligence Injurer precautionRule 3: Simple Negligence Victim precautionSlide 30For bilateral precaution, there are several ways to implement a negligence ruleDifferent negligence rulesSlide 33Here’s the cool part…Discrete example of bilateral precautionNegligence with a Defense of Contributory NegligenceComparative NegligenceStrict Liability with a Defense of Contributory NegligenceSo even with bilateral precaution…(I mentioned, with bilateral precaution, things occasionally get more complicated…)So far, our results seem to favor negligence rules…Econ 522Economics of LawDan QuintSpring 2010Lecture 162The law as a setof incentives3A physician comes upon an auto accident, stops, and treats an unconscious and badly bleeding victim. A week later the victim receives a bill for services rendered. Must he pay it?Under current U.S. law the answer is yes.Consider the following alternatives:i. The victim need not pay anythingii. The victim must pay only the value of whatever materials were used up in treating him (bandages, etc.)iii. The victim must pay the going market rate for comparable medical servicesiv. The victim must pay whatever the doctor demandsWhich of these do you expect to lead to the most efficient outcomes? Why?The law as incentives – HW2 Q3(from old midterm)4If we think about payoffs after the fact(after accident, after treatment)…Suppose value of treatment is $100,000, cost of materials $50, value of doctor’s time $450, market rate $1,000After the fact, all remedies are equally efficientSo this can’t be the right way to think about the problem!99,50099,50099,50099,500Combined Payoffs999,500500-450-500Doctor’s Payoff-$900,000$99,000$99,950$100,000Patient’s PayoffWhatever Doc AsksMarketRateCost of MaterialsPayNothing5Need to think about incentive each rule creates, therefore the behavior it will lead toPatient pays nothingPatient pays for materialsPatient pays market ratePatient pays whatever doctor asksSo what is the right way to think about the problem?6Something to rememberdistributionbut notefficiencyefficiency7Back totort law8Elements of a tortHarm; causation; breach of duty (negligence)Strict liability: no need to prove negligence, just harm and causationNegligence: need to prove all three elementsPrecaution: any actions taken to reduce likelihood of an accidentToday: economic model of tortsMonday…9The more carefully I drive, the less likely I am to hit youBut, driving more carefully is also more costly to meMust be some efficient level of carePrecaution10The more carefully I drive, the less likely I am to hit youBut, driving more carefully is also more costly to meMust be some efficient level of careWhat determines how carefully I drive is what I think will happen if I hit youTort law creates incentivesWe ended Monday with two questions:What is the efficient level of precaution?How do we design the law to achieve it?Like with nuisance and contract law… easiest way is to design the law so that I internalize the externality I cause when I hit youPrecaution11Unilateral harm – just one victimPrecaution – costly actions that make accident less likelyCould be taken by either victim or injurerWe’ll focus on one at a timeNotationx – the amount of precaution that is takenw – the cost of each “unit” of precautionso total cost of precaution is wxp(x) – probability of an accident, given precaution xp is decreasing in xA – cost of accident (to victim)so expected cost of accidents is p(x) AModel of unilateral harmx level of precautionw marginal cost of precautionp(x) probability of an accidentA cost of an accident12Model of unilateral harmx level of precautionw marginal cost of precautionp(x) probability of an accidentA cost of an accidentPrecaution (x)$p(x) A (Cost of Accidents)wx (Cost of Precaution)wx + p(x) A(Total Social Cost)x* (Efficient Level of Precaution)13efficient precaution: minx { wx + p(x) A }w + p’(x) A = 0w = – p’(x) AUnder reasonable assumptions (p(x) convex)…x < x*  w < – p’(x) AMSC < MSB  more precaution efficientx > x*  w > – p’(x) AMSC > MSB  less precaution efficientx = x*  MSC = MSBModel of unilateral harmx level of precautionw marginal cost of precautionp(x) probability of an accidentA cost of an accidentmarginal social cost of precautionmarginal social benefit of precaution14Model of unilateral harmx level of precautionw marginal cost of precautionp(x) probability of an accidentA cost of an accidentx$p(x) Awxwx + p(x) Ax*x < x* x > x*15We haven’t yet said who is taking precautionSome situations, only injurer can reduce accidentsSome situations, victim can tooBilateral precaution is a little bit tricky, but if we look at the two parties one at a time, everything works fineNext: consider effect of different liability rules on precautionModel of unilateral harm16Effect of Liability Ruleson Precaution17Three rules we’ll consider:No liabilityStrict liabilityNegligenceEffect of liability rules on precaution18In a world with no liability…Victim bears the cost of any accidents, plus the cost of any precaution he takesInjurer bears cost of any precaution he takes, does not have to pay for accidentsRule 1: No Liability19Rule 1: No LiabilityInjurer precautionx$p(x) Awxwx + p(x) Ax*Injurer’s private cost is just wxInjurer minimizes private cost by setting x = 0Private cost to injurer20Rule 1: No LiabilityVictim precautionx$p(x) Awxwx + p(x) Ax*Victim’s private cost is wx + p(x) ATo minimize this,


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UW-Madison ECON 522 - Lecture 16 Notes

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