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Game Theory
“The difference between genius and stupidity is that genius has its limits.”
- Albert Einstein
Mike ShorLecture 7
Punishment and Credibility
Review Cooperation requires sacrificing immediate profits
for a future relationship
The sacrifice is only made if the punishment is severe enough
Punishment that is too severe is not credible
Outline: What is credibility? Payoffs, strategies, irrationality A credibility check list
Mike ShorGame Theory & Business Strategy
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The Winning Lottery Ticket
“It won’t change me one bit!”
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What is Credibility?
“The difference between genius and stupidity is that genius has its limits.”
– Albert Einstein
Telling you I’m going to act in my best interest is not committing
To commit to a suboptimal action, I need to: Change the game Change perceptions
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How to be Credible?
Reduce payoffs from those strategies that may tempt you
Make it costly to renege
Remove strategiesfrom among those that may tempt you in the future
Destroy avenues of retreat
Become irrationalby eliminating strategic control
Remove “human meddling”Mike Shor
Game Theory & Business Strategy5
Talk is Cheap
“ Continental Airlines said yesterday that it would raise airfares on about two-thirds of its routes … to take effect September 5.” - The New York Times August 29, 1992
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Commitment
Must commit to be credible!
“The difference between ‘involvement’ and ‘commitment’ is like an eggs-and-ham breakfast:
the chicken was ‘involved’ – the pig was ‘committed.’ ”
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Commitment vs. Involvement
Two firms considering market entry: Market potential is $10 million NPV profits Entry costs $7 million
It is in our best interest to stay out if we think that the other firm will enter
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In Out
UsIn -2 , -2 3 , 0
Out 0 , 3 0 , 0
Them
Involvement
We make an initial investment: Invest first $1 million to deter entry
It is still in our best interest to stay out if we think that the other firm will enter
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In Out
UsIn -2 , -2 3 , 0
Out -1 , 3 -1 , 0
Them
Commitment
We make an initial investment: Invest first $3 million to deter entry
Now, it is our dominant strategy to enter regardless of what the other firm will do
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In Out
UsIn -2 , -2 3 , 0
Out -3 , 3 -3 , 0
Them
Credible Commitment
By reducing our own payoffs from staying out, we have committed to entry
Other examples: Financing of takeovers
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Reducing Payoffs: Contracting
Takeover offer:$200 million You can “afford” $20 million / year Finance takeover for 20 years at 7%
Add penalty: if amount greater than $200 million, +1.5 points on interest rate
Annual Payments:$200 million: $18.6 million / year$210 million: $19.6 million / yearwith penalty: $21.9 million / year
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Credible Threats
Targeted threats are generally more credible than blanket threats
But what if a blanket threat is exactly what we need? Assign responsibility to alter incentives
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From Incredible to Credible
Ten suppliers each have two options: Deliver on time at a cost of $70,000 Deliver a week late at a cost of $20,000
Delivery results in $100,000 payment
I need at least nine suppliers and the suppliers know this
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A Non-Credible Threat
I threaten not to deal with any supplier who delivers late But, suppliers know that I can punish at most one
Two equilibria: All deliver on time All deliver late (the likely equilibrium) Even if I think that only one other supplier will
deliver late, it is in my best interest to do so: ½ (80) > 30
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A Credible Threat
I number the suppliers arbitrarily: 1…10 I refuse delivery from the lowest numbered
supplier among those who are late
Result: Supplier 1 delivers on time
(better than getting nothing) Thus, supplier 2 delivers on time …
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Removing Strategies I
You are not always better off with more options.
DelegationIn contract negotiation, can “squabble” over
many detailsInstead, send an agent with power of attorney
to “sign as is” or “walk away”Haggling over prices in a department store
Learn from government bureaucracy: “The rules won’t allow me to do what you ask!”
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Delegation Examples
Human resource departments Shield from requests for higher salaries HR execs not compensated based on employer
value
Collection agencies shield from pleas or threats of the debtor reinforce repayment to protect reputation
Accounting firms overseeing contests Accountant’s payment not tied to outcome Concerned with reputation for fairness
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Removing Strategies II
Sometimes, you should burn bridges.
Burning Bridges Power comes from not being able to retreat Allow opponent to retreat (Sun Tzu)
The nicotine patch Hunt for Red October Cortes upon arriving in Mexico
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Burning Bridges Example
Semiconductor patent sharing
“Mosaid Technologies, a designer and licensor of semiconductor chips and technologies, just announced a patent sharing deal with Mitsubishi Electric”
Share patent with another competing firmCommit to chip supply to production plantsCommit to no opportunistic behavior
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Building Bridges
Build bridges for your opponents.
“When you surround an enemy, you must leave an outlet for him to go free.” – Sun-Tzu
Jimmy Hoffa’s negotiation lesson:
What is the single most important thing for a negotiator to know?
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Commitment Is Counterintuitive
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COMMANDMENTCOMMANDMENT
Reduce your strategy space and decrease your own payoffs to commit.
(Hurt yourself to help yourself)
Increase your opponent’s strategy space
to preclude the rival from committing.(Help your rival to help yourself)
Irrationality
U.S. / U.S.S.R. nuclear deterrence Mutually Assured Destruction (MAD)
like Grim Trigger Strategy
Proportional Response like Tit-for-Tat
Want a lot of deterrence Want irrationality to be credible Dr. Strangelove & the Doomsday device
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Irrationality
A takeover defense tactic: “I will burn the factories down!”
If threatening the irrational – take it out of your control, permanently
Reversible commitment is akin to no commitment at all
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Dr. Strangelove The Credibility Checklist
Severity “Create fear in the mind of the enemy”
Irreversibility “It is essential”
Irrationality “Not something a sane man would do”
Practicality “It wasn’t a practical deterrent”
Clarity “Tell the world”
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Changing the Rules
Question the clichés: Less options may be better Sometimes, burn bridges
Commitments change the game. Which game is best for you to play?
Looking ahead: How commitments can resolve
the prisoner’s dilemma
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