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Sept 4, 2006 Risk and Public Policy Defining Risk BUSH 689.601 September 4, 2006

Sept 4, 2006Risk and Public Policy Defining Risk BUSH 689.601 September 4, 2006

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Sept 4, 2006Risk and Public Policy What is Risk? The classical answer Risk = uncertainty + damage Risk =, where a hazard is a source of danger s i is a scenario i which leads to some outcome p i is the probability or frequency of the occurrence of scenario i x i is the level of damage that results from the occurrence of s i So Risk={ } over all i.

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Page 1: Sept 4, 2006Risk and Public Policy Defining Risk BUSH 689.601 September 4, 2006

Sept 4, 2006 Risk and Public Policy

Defining Risk

BUSH 689.601September 4, 2006

Page 2: Sept 4, 2006Risk and Public Policy Defining Risk BUSH 689.601 September 4, 2006

Sept 4, 2006 Risk and Public Policy

Hazard“What are we worried

about?”

Transmission“How does the hazard get to

people”

Impact“What does it do to people other things

we care about?”

Risk Management“What can we do

about it?”

Mechanism Dose and Exposure

Dose and Response

Design institutions (sanctions and

incentives)

Duration Pathways Differential Effects

Manage exposure

Maximum effect

Scope Uncertainty Establish norms

Components of Risk Assessment

Page 3: Sept 4, 2006Risk and Public Policy Defining Risk BUSH 689.601 September 4, 2006

Sept 4, 2006 Risk and Public Policy

What is Risk?The classical answer

Risk = uncertainty + damageRisk = , where a hazard is

a source of dangersi is a scenario i which leads to some outcomepi is the probability or frequency of the occurrence

of scenario ixi is the level of damage that results from the

occurrence of si

So Risk={<si, pi, xi>} over all i.

safeguardshazard

Page 4: Sept 4, 2006Risk and Public Policy Defining Risk BUSH 689.601 September 4, 2006

Sept 4, 2006 Risk and Public Policy

The Risk Curve

Page 5: Sept 4, 2006Risk and Public Policy Defining Risk BUSH 689.601 September 4, 2006

Sept 4, 2006 Risk and Public Policy

Classic Form of the Risk Curve

Page 6: Sept 4, 2006Risk and Public Policy Defining Risk BUSH 689.601 September 4, 2006

Sept 4, 2006 Risk and Public Policy

Example of Risk Curve Comparisons

Page 7: Sept 4, 2006Risk and Public Policy Defining Risk BUSH 689.601 September 4, 2006

Sept 4, 2006 Risk and Public Policy

Risk Curve Densities

Page 8: Sept 4, 2006Risk and Public Policy Defining Risk BUSH 689.601 September 4, 2006

Sept 4, 2006 Risk and Public Policy

Bayesian Updating

p(Фm/E) = p(Фm )

where p(Фm/E) is your posterior probability of believing Фm, given the new evidence E;

p(Фm) is your “prior”;

p(E/ Фm) is the likelihood that you’d have gotten evidence E if Фm was true;

and p(E) is the probability of the evidence (how compelling is it?).

⎥⎦⎤

⎢⎣⎡

)()/( m

EpEp φ