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Game Theory
“In war the will is directed at an animate object that reacts.”
- Karl Von Clausewitz, On War
Mike ShorLecture 2
Mike ShorGame Theory & Business Strategy
2
Defining the Game
Review Game theory is a description of strategic
interaction between mutually aware players You are self-interested and selfish So is everyone else
Outline: Defining the rules of the game Manipulating the rules if they are flexible Questioning game theory’s assumptions
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Rules of the Game The strategic environment
Players Strategies Payoffs
The rules Timing of moves Nature of conflict and interaction Informational conditions Enforceability of agreements or contracts
The assumptions Rationality Common knowledge
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The Strategic Environment
PlayersEveryone who has an effect on your earnings
StrategiesActions available to each playerDefine a plan of action for every contingency
PayoffsNumbers associated with each outcomeReflect the interests of the players
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The Rules
Timing of movesAre moves simultaneous or sequential?
Nature of conflict and interactionAre players’ interests in conflict?Will players interact once or repeatedly?
Informational conditionsAre some players better informed?
Enforceability of agreementsCan contracts be enforced?
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Example: Toys “R” Us Sequential timing
Threat Manufacturer’s decisionsHow will my opponents react?
Simultaneous timing Manufacturer’s decisions
What is my opponent doing right now? Information
Future profitability of warehouse clubsWhat can I infer from the actions of others?
Agreements Enforceability of contracts & agreements
What happens if someone breaks the agreement?
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Changing the Rules
Are the rules of the game fixed?
COMMANDMENT
When the rules of the game are flexible manipulate them to your advantage.
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Example:Agenda Setting
Gore v. Bush before the U.S. Supreme Court
Four judges prefer: Bush to Gore to Remand ( B > G > R )
Three judges prefer:Gore to Remand to Bush ( G > R > B )
Two judges prefer:Remand to Bush to Gore ( R > B > G )
Voting by Majority Rule
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Agenda Setting (continued)
No majority in three way race Chief Justice selects voting rules:
First, Bush v. GoreThen, Bush/Gore winner versus Remand
First, Bush v. RemandThen, Bush/Remand winner versus Gore
First, Gore v. RemandThen, Gore/Remand winner versus Bush
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Agenda Setting (continued) Recall member preferences:
4 (B>G>R) 3 (G>R>B) 2 (R>B>G)
Majority rule results: B beats G ; G beats R ; R beats B
Voting results: B beats G then winner versus R R B beats R then winner versus G G G beats R then winner versus B B
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The Assumptions Rationality
Players aim to maximize their payoffs Players are perfect calculators
Common Knowledge Each player knows the rules of the game Each player knows that each player knows the rules Each player knows that each player knows that each player
knows the rules Each player knows that each player knows that each player knows that each
player knows the rules Each player knows that each player knows that each player knows that each player knows that each player knows the rules
Etc. Etc. Etc.
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Common Knowledge
Do people really behave as the theory predicts?
If not, what good is the theory?
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Common Knowledge
Examples Intentional failure to coordinate
Financial and grade disclosure
Bluffing
Stock market
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The Stock Market& Rationality
“I can calculate the motions of heavenly bodies, but not the madness of people”
- Sir Isaac Newton(upon losing £20,000 in the South Sea Bubble in 1720)
QUESTION:
When would a sell-off occur if we knew the exact date of a bubble’s burst?
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Greater Fool Theory
He who panics first wins
You may be a fool to pay as much as you did, but you are betting that there’s a greater fool down the road.
And if you’re right, then of course you aren’t being foolish.
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often is a good month for stocks” is typically a strong month for stocks” tends to be a good month for stocks” is usually a good month for stocks”
is typically a bad month for the stock market”
is usually the worst month for stocks” is traditionally a cruel month for stocks” is the worst month for stocks”
“_________ “_________ “_________ “_________
“_________ “_________ “_________ “_________
Which Month Am I?
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Fun with Probabilities
If, in each month, the stock market is equally likely to go up or go down, then there is over an 80% chance that some month will be “bad” three years in a row!
Why is October so bad?
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– Wall Street Journal, quoting Mark Twain
The Worst Month for Stocks
“ October. This is one of the peculiarly dangerous months to speculate in stocks. ”
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Wall Street JournalMay 1988
Front Page Story:
“Clear Road Ahead …”
“Will record gains through the fall” “October looms on the horizon …
the dreaded though inevitable slide.”
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Excess Returns prior to IPO Lock-Up Expiration
Event Day
Cum
ulat
ive
Abn
orm
al R
etur
n
-20 -16 -12 -8 -4 0 4 8 12 16
0.005
0
-0.005
-0.010
-0.015
-0.020
-0.025
-0.030
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What is a “Step”?
“Now keep in mind this is
just a ballpark figure”