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A series of lecture notes from a Business Decision Making course taught by Prof. Dr. Matthias Raith at Otto-von-Guericke University Magdeburg. The notes cover the topic of Preferences and Decision Making, including preference relations, rational preferences, change of criteria, and continuity. The document also discusses the value function and decision problem in the context of constrained optimization.
Typology: Lecture notes
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Types of Decision Making 2
non-compensatory compensatory
Types of Decision Making: Procedures that one can analyze and compare according to some specified criteria.
The criteria could be related to the procedure itself or to the outcomes of the procedure.
If the criteria for a “good” procedure are known, one could even design a decision procedure.
Paul Goodwin and George Wright (2009): Decision Analysis for Management Judgment , 4th ed., ch. 2
- Preferences and Decision Making -
Prof. Dr. Matthias Raith Chair of Entrepreneurship Otto-von-Guericke University Magdeburg http://www.entrepreneurship.ovgu.de
Preferences and Decision Making 4
**1. Introduction
Preferences and Decision Making 7
Example:
10 € used alternatively to buy a theater ticket, netflix, or a book.
Theater ticket netflix Repeated pleasure
Importance of education
Break from studies
netflix Book
Book Theater ticket
Preferences and Decision Making 8
Imagine that you are about to purchase a stereo for 125 dollars and a calculator for 15 dollars. The salesman tells you that the calculator is on sale for 5 dollars less at the other branch of the store, located 20 minutes away. The stereo is the same price there. Would you make the trip to the other store?
A. MasColell, M.D. Whinston, J.R. Green: Microeconomic Theory , 1995
Imagine that you are about to purchase a stereo for 125 dollars and a calculator for 15 dollars. The salesman tells you that the stereo is on sale for 5 dollars less at the other branch of the store, located 20 minutes away. The calculator is the same price there. Would you make the trip to the other store? Because of a stockout you must travel to the other store to get the two items, but you will receive 5 dollars off on either item as compensation. Do you care on which item this 5 dollar rebate is given? x = Travel to the other store and get a 5 dollar rebate on the calculator. y = Travel to the other store and get a 5 dollar rebate on the stereo. z = Buy both items at the first store. x z and z y, butx y
x z
z y
Preferences and Decision Making 9
Anthony Blair, Philosopher
Preferences and Decision Making 10
a b c b c a c a b
Decision by simple majority vote: Who prefers a to b? 1 and 3 Who prefers b to c? 1 and 2 Who prefers c to a? 2 and 3
Group decisions based on simple majority vote may imply intransitive preferences, even though the preferences of each individual group member are transitive! Condorcet Paradox
Group of Decision Makers
Individual Rational Preference Profiles
Preferences and Decision Making 13
If the preferences of the decision maker can be characterized by a value function, then the decision problem can be formulated as constrained optimization problem.
This perspective takes the the set of alternatives as given. Alternative Focused Thinking
Preferences and Decision Making 14
v is twice continuously differentiable
v has a stationary point at a^ *^ , where v '( a *) 0.
v ''( a^ *^ ) 0 a *^ is amaximum point
v ''( a^ *^ ) 0 a *^ is aminimum point
A is a continuous set
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S Strategic Objectives f Fundamental Objectives i Instrumental Objectives A, a Alternatives
a A
i
f
S
Preferences and Decision Making
Value Information
Factual Information
Decision Context
Ralph Keeney: Value-Focused Thinking. A Path to Creative Decision Making , 1992
Preferences and Decision Making
Preferences and Decision Making
Fundamental Objective
Instrumental Objective
Instrumental Objective
Instrumental Objective
Instrumental Objective
Instrumental Objective
Towards a Fundamental Objective „Why is that important?“ Away from a Fundamental Objective „How can this be achieved?“
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Preferences and Decision Making
Fundamental Objectives Instrumental Objectives
Direction: Downward in the hierarchy Away from fundamental objectives
Question: What exactly does this mean?
How can this be achieved?
Direction: Upward in the hierarchy Towards fundamental objectives
Question: Of which more general objective is this an aspect?
Why is that important?
R. T. Clemen, T. Reilly: Making Hard Decisions , 2001 20
Preferences and Decision Making 21
Value focused thinking
Alternative focused thinking
Hammond, Keeney, Raiffa: Smart Choices , 1999
Preferences and Decision Making 22
Value-Focussed Thinking
Alternative-Focussed Thinking
Reactive Problem Solving: Proactive Planning: Take the Best – make it reality
Conceptualization of a desired future and the search for ways to reach this state as effectively as possible.
Take whatever is available – choose the best alternative
Moving away from something undesired, does not bring you closer to something desired.
Unconstrained Thinking
Constrained Thinking
Russell L. Ackoff: The Art of Problem Solving , 1978
Stephen R. Covey: The Seven Habits of Highly Effective People, 1989