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Expected Utility Theory
Introduction
 Expected utility theory was first proposed by Nicholas Bernoulli 1713
and solved by Daniel Bernoulli in 1738 and St. Petersburg Paradox.
 It offers economical representation of truly rational behaviour under
uncertainty.
 Expected utility theory is a normative approach which suggest how
should investors make a rational decision in an uncertain situation.
Introduction
 Certainty of a particular outcome has increased irrespective of the
constant or the price of the bet, individual changed their preference
towards the event that were more certain.
 But according to the prediction of Expected Utility theory, this
should not happen and individual were supposed to stick to their
preferences as the certainty increase not the price.
Equation of Expected Utility Theory

It Rains It does not Rain
Umbrella 15 15
No Umbrella 0 18
Assumptions
1. Investor is able to rank alternatives
2. An investor will prefer dominant investment
3. Investors ignore irrelevant alternatives
4. Investors consistently rank outcomes. If (A >B) or (B>C) then,
must be (A>C)
5. Investors ranking of alternatives are continuous.
6. Investors care about outcomes/payoff and probability with which
they are occur and not how they are presented.
Investment criteria under
Expected Utility Theory
 Maximum Return Criteria (MRC): When there is no risk at all,
investor should choose the investment with highest rate of
return.
 Maximum Expected Return Criteria (MERC): Investor
identifies the investment with the highest expected return
and thereby overcomes the problem of ranking.
Theories based on the concept of
Expected Utility Theory
Theories based on the concept of
Expected Utility Theory
Marginal Utility
Theory
Decision Theory
Subjective
Expected Utility
Theory
Von Veumann-
Morgenstern
Theory (VNMT)
Game Theory
Game Theory
 Introduced after the 1944 publication of the monumental volume
“theory of game and economic behaviour” by Von Neumann and
the economist Oskar Morgenstern.
 It is the formal study of conflicts and cooperation.
 The concept of game theory provide a language to formulate,
structure, analyse and understand strategic scenarios.
Marginal Utility Theory
 Marginal Utility Theory approach of consumer behaviour was
published by Gossen, W.S. Jevons of England, Leon Walras of
France and Carl Menger of Austria.
 Marginal utility is the additional satisfaction a consumer gains from
consuming one more units of a good or service.
 Positive marginal utility is when the consumption of an additional
item increases the total utility.
 Negative marginal utility is when the consumption of an additional
item decreases the total utility.
Decision Theory
 Decision Theory is a systematic procedure to identify the best
possible decision among the various available alternatives.
 Decision Theory enables the decision maker to take the best
suitable decision by providing him the facilities to evaluate and
examine the decision as per the degree of certainty.
Decision Making
under Uncertainty
Decision Making
under Risk
Decision Making
under certainty
Subjective Expected Utility
Model (SEUT)
 Also called as Bayesian decision theory.
 The Subjective Expected Utility model provides the conceptual and
computational framework that is most often used to analyse
decisions under uncertainty.
 Possible outcomes for the decision makers are represented by a set
of consequences, which could be such as health, happiness,
pleasant or unpleasant experiences and so on.
Von Neumann Morgenstern
Theory (VNMT)
 Von Neumann Morgenstern utility function, an extension of the
theory of consumer preferences that incorporates a theory of
behaviour toward risk variance.
 It shows that when a consumer is faced with a choice of items or
outcomes subject to various levels of chance, the optimal decision
will be the one that maximizes the expectation value of the utility
derived from the choice made.
Thank You

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Expected utility theory

  • 2. Introduction  Expected utility theory was first proposed by Nicholas Bernoulli 1713 and solved by Daniel Bernoulli in 1738 and St. Petersburg Paradox.  It offers economical representation of truly rational behaviour under uncertainty.  Expected utility theory is a normative approach which suggest how should investors make a rational decision in an uncertain situation.
  • 3. Introduction  Certainty of a particular outcome has increased irrespective of the constant or the price of the bet, individual changed their preference towards the event that were more certain.  But according to the prediction of Expected Utility theory, this should not happen and individual were supposed to stick to their preferences as the certainty increase not the price.
  • 4. Equation of Expected Utility Theory  It Rains It does not Rain Umbrella 15 15 No Umbrella 0 18
  • 5. Assumptions 1. Investor is able to rank alternatives 2. An investor will prefer dominant investment 3. Investors ignore irrelevant alternatives 4. Investors consistently rank outcomes. If (A >B) or (B>C) then, must be (A>C) 5. Investors ranking of alternatives are continuous. 6. Investors care about outcomes/payoff and probability with which they are occur and not how they are presented.
  • 6. Investment criteria under Expected Utility Theory  Maximum Return Criteria (MRC): When there is no risk at all, investor should choose the investment with highest rate of return.  Maximum Expected Return Criteria (MERC): Investor identifies the investment with the highest expected return and thereby overcomes the problem of ranking.
  • 7. Theories based on the concept of Expected Utility Theory Theories based on the concept of Expected Utility Theory Marginal Utility Theory Decision Theory Subjective Expected Utility Theory Von Veumann- Morgenstern Theory (VNMT) Game Theory
  • 8. Game Theory  Introduced after the 1944 publication of the monumental volume “theory of game and economic behaviour” by Von Neumann and the economist Oskar Morgenstern.  It is the formal study of conflicts and cooperation.  The concept of game theory provide a language to formulate, structure, analyse and understand strategic scenarios.
  • 9. Marginal Utility Theory  Marginal Utility Theory approach of consumer behaviour was published by Gossen, W.S. Jevons of England, Leon Walras of France and Carl Menger of Austria.  Marginal utility is the additional satisfaction a consumer gains from consuming one more units of a good or service.  Positive marginal utility is when the consumption of an additional item increases the total utility.  Negative marginal utility is when the consumption of an additional item decreases the total utility.
  • 10. Decision Theory  Decision Theory is a systematic procedure to identify the best possible decision among the various available alternatives.  Decision Theory enables the decision maker to take the best suitable decision by providing him the facilities to evaluate and examine the decision as per the degree of certainty. Decision Making under Uncertainty Decision Making under Risk Decision Making under certainty
  • 11. Subjective Expected Utility Model (SEUT)  Also called as Bayesian decision theory.  The Subjective Expected Utility model provides the conceptual and computational framework that is most often used to analyse decisions under uncertainty.  Possible outcomes for the decision makers are represented by a set of consequences, which could be such as health, happiness, pleasant or unpleasant experiences and so on.
  • 12. Von Neumann Morgenstern Theory (VNMT)  Von Neumann Morgenstern utility function, an extension of the theory of consumer preferences that incorporates a theory of behaviour toward risk variance.  It shows that when a consumer is faced with a choice of items or outcomes subject to various levels of chance, the optimal decision will be the one that maximizes the expectation value of the utility derived from the choice made.