One or more alternatives lead to a block of possible outcomes with unknown probabilities. Subjective decision-making

Содержание

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One or more alternatives lead to a block of possible outcomes

One or more alternatives lead to a block of possible outcomes

with unknown probabilities

Subjective decision-making

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…no reliable data… 3

…no reliable data…

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2 approaches to decision making under conditions of uncertainty The Manager

2 approaches to decision making under conditions of uncertainty

The Manager uses

the available information and experience to define subjective probabilities > risk conditions

The Manager makes no assumptions concerning the probabilities of external conditions

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4 solutions criteria : Solution Criterion of Wald (Maxi-min) Solution Alfa-criterion

4 solutions criteria :

Solution Criterion of Wald (Maxi-min)

Solution Alfa-criterion of Hurwitz

Solution

criterion of Savidge (disclaimer of mini-max)

Solution Criterion of Laplace (Bayesian)

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The Manager makes no assumptions concerning the probabilities of external conditions

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The most suitable criteria? 6

The most suitable criteria?

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…take into account philosophy, temperament and viewpoints of the present leadership of the company 7

…take into account philosophy, temperament and viewpoints of the present

leadership of the company

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Solution Criterion of Wald (Maxi-min) The criterion of conservatism and attempt

Solution Criterion of Wald (Maxi-min)

The criterion of conservatism and attempt to

maximize reliability

External conditions are moody and freakish

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Define the worst possible result of each strategy Choose the strategy

Define the worst possible result of each strategy

Choose the strategy that

provides the best of the worst results

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…probability of different states of economy are unknown 11 Decision matrix

…probability of different states of economy are unknown

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Decision matrix

The

state of the external environment

Alternative
strategies

Criteria

Maxi-min

Maxi-max

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11 Strategy S1 is just the most conservative - it implies

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Strategy S1 is just the most conservative - it implies the

lowest risks, but at the same time promises the lowest profit
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The criterion is suitable for small commercial firms whose survival depends

The criterion is suitable for small commercial firms whose survival depends

on the ability to avoid losses

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Solution Alfa-criteria of Hurwitz Determine the index of the solution -

Solution Alfa-criteria of Hurwitz

Determine the index of the solution - d

for each strategy, which is an average weighted of its extreme outputs

Weighing factors
the coefficient of optimism alpha α, which applies to the maximum return M,
and its addendum 1 - α , which is applicable to the minimum return m

The cost of each strategy:

The strategy with the highest value for di selected as the optimal

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The coefficient of optimism α is located in the range from 0 to 1 14

The coefficient of optimism α is located in the range from

0 to 1

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If a Manager is a pessimist, he may decide that α=

If a Manager is a pessimist, he may decide that α=

0

=> Maxi-Min

If the Manager is optimistic, he may decide that α = 1

=> Maxi-max

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dead end

prospect

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Suppose that a Manager is optimistic and decides that a = 0,7

Suppose that a Manager is optimistic and decides that a =

0,7
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…depends on the amount of …. ….depends on their own relations “Manager for risk”… 17

…depends on the amount of ….
….depends on their own relations “Manager

for risk”…

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Alpha-Hurwitz criterion: draw attention to the worst and the best return of the concrete strategies 18

Alpha-Hurwitz criterion: draw attention to the worst and the best return

of the concrete strategies

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Solution criterion of Savage (disclaimer of mini-max) Explores losses incurred as

Solution criterion of Savage (disclaimer of mini-max)

Explores losses incurred as a

result of making the wrong decision

Losses are measured as the absolute difference between the returns for this strategy, and returns of the most effective strategy within the same state of the economy.

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20 Within each column, the biggest return is deducted from each

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Within each column, the biggest return is deducted from each of

the next return in column (including yourself). The absolute difference between the positions is a measurement of losses

Matrix of losses

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The meaning of measurement of losses: if we have chosen a

The meaning of measurement of losses:
if we have chosen a strategy

that provides the most value for this condition, then we do not consider losses

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But if we choose any other strategy, the loss is the

But if we choose any other strategy, the loss is the

difference between what happens in fact, and the return that we would get by adopting a more optimal solution

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