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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Outline
1 Class 1: Intro and Demand
2 Class 2: Costs
3 Class 3: Competition
4 Class 4: Market Failure
5 Class 5: Information and Decisions Definitions Decisions on Expected Value Features of Decision-making: Risk Preferences Recap
6 Class 6: Capstone Class
7 Class 7: Presentations
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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Quiz 3
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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Why are we in class today?
You don’t know?... How do you know that I know?
Most times, firms have far too little info
So, firms must understand how to take decisions with probabilities - not full information
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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Key Learning Objectives
Expected value - what it means
Risk Aversion - what it means and how it relates to expected value
Expected Utility - how it could be used to describe rational decisions
Decision Trees - how to construct and use one
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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Definitions
Uncertainty
Uncertainty is not Risk:
Risk is usually quantifiable By definition, uncertainty is not
Uncertainty represents the absence of information
"The essential fact is that ’risk’ means in some cases a quantity susceptible of measurement.... It will appear that a measurable uncertainty, or ’risk’ proper, as we shall use the term, is so far different from an unmeasurable one that it is not in effect an uncertainty at all." – Frank Knight (1885-1972), Risk, Uncertainty, and Profit
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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Definitions
Risk
Known Unknowns of Iraq War
Pure risk examples: the lottery, rolling dice
Other examples: commodity prices, interest rates
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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Decisions on Expected Value
Discussion: Is it Rational to Play Powerball?
Derive the expected value of a:
coin toss bet
Roll of the die
Expected value of playing the lottery
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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Decisions on Expected Value
Expected Value
E(v) = p1v1 + p2v2 + .... + pnvn (1)
= i=n∑ i=1
pivi (2)
=
∫ v ∗ p(v)dvfor continuous probability distribution (3)
Decisions based expected value are rational
They do not consider ’risk preferences’, (economic agents’ risk aversion)
How people gamble Class exercises
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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Decisions on Expected Value
Decisions and Outcomes
Can a ’good’ rational decision lead to a bad outcome?
Can a ’bad’ rational choice lead to a good outcome?
What then makes for a good decision? Or choosing to do nothing?
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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Decisions on Expected Value
Decision Trees
A decision tree is a good way to represent the interaction of: decisions states of the world (SOWs) OR chance events
Useful for visualizing how we derive expected value
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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Decisions on Expected Value
Class Exercise
Faced with two opportunities to take a risk: 1% chance of winning $10,000 and 99% chance of winning $0
1% chance of winning $1 million, 1% chance of losing $990,000 and 98% chance of winning $0
What is the expected value of these games?
Would you pay $100 to play game 1? game 2?
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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Decisions on Expected Value
Expected Values in Sequence
Refer to the R&D question of page 511 of text
Some choices only happen at a later stage
There may be ’wait-and-see’ decisions
First, draw the decision tree
then estimate conditional expected values Estimate expected values in sequence in reverse (backwards from the last to the first decision or SOW)
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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Decisions on Expected Value
Class Exercises
Sequential decision problem: page 516 (Check Station 3)
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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Decisions on Expected Value
Class Discussion and Group Work
Take 10 mins- working in assigned groups, draft notes on risk issues for your class project Discuss how the risk factors affect your business prospects
Business or Income Cycles Natural Gas and Coal Prices Electric Utility Rates Solar Panel Prices Lithium Prices
Focus on numbers - (outcomes) What is possible? (probability) How likely is it to happen?
From the Solar Energy Industry Association: Outlook
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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Features of Decision-making: Risk Preferences
Risk Aversion
Risk neutral person is indifferent between a sure income and an uncertain income with the same expected value
Risk averse person prefers a sure income (the certainty equivalent), over an uncertain income with the same expected value
To avoid risk, a risk averse person will be willing to pay extra (i.e. a risk premium) Alternatively, such a person will require extra compensation if (s)he is made to bear risk
Risk loving person prefers an uncertain income over a sure income with the same expected value
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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Features of Decision-making: Risk Preferences
Ways to Deal with Risk
Risk financing (e.g. insurance) With insurance, transfer risk to another entity, usually for a fee Costly, so it is meant for non-diversifiable risk Who, among the risk neutral, risk loving, and risk averse, will always buy actuarially fair insurance?
Risk mitigation (e.g. diversification, divestment) The "Don’t put all your eggs in the same basket" strategy With two investments that are not perfectly positively correlated, the variance of a combination will be lower than variance of either investment (for the same total investment) Generally, lower risk for same return...but beware transaction costs
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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Recap
Decision-making Pitfalls: Excluding relevant alternatives
Choices Remember the die toss exercise!
More Choices
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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Recap
Decision-making Pitfalls: Vague Probability Specifications
There is a good chance it is sunny tomorrow
Is that a 50% or a 90% probability?
There is a fair chance of winning the lottery
Is that a 50% or a 0.00000000342 probability?
When it comes to money, which is always measured in numbers, every number is your friend!
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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Recap
Decision-making Pitfalls: Overoptimism and Overconfidence
The odds must be in my favor
The tendency to skew outcome probabilities
Exercise: Repeat coin toss exercise, but with subjective probabilities on outcomes
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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Recap
Failing to gather data
PwC: Big Decisions
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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Recap
Recap
Risk is not uncertainty (the absence of information) Decisions are often not rational because they require information:
Obtaining information is costly
Processing information is costly
Separating biases and preferences from information is not easy
Nevertheless, good rational decision-makers should consider all possible outcomes (use decision trees) identify (or guess) probabilities for each outcome determine the expected value of each choice
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Class 1: Intro and Demand Class 2: Costs Class 3: Competition Class 4: Market Failure Class 5: Information and Decisions Class 6: Capstone Class Class 7: Presentations
Recap
What Comes Next?
Submit projects before deadline
Put all our class concepts to work in simulation
Laptops are required
Come with all class notes, those notes will be needed to create winning strategy
Read simulation case carefully, simulation could be a pop quiz Register at MIT website
Register as part of class (class code - 592S16; pwd - 592S16 )
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