Economics of Uncertainity:
We have seen the behaviour of economic agents under conditions of certainty, i.e., the situation in which consequences of any choice made were fully known beforehand. However, once we bring in choices to be made under uncertainty, the theoretical prescriptions by far remain an uncovered domain. As our income levels fluctuate, price we pay change or health conditions worsened, we need LO model choices accounting for such plausible events. Also, see that most of decisions we take are forward looking: planning a holiday trip, to many or to buy insurance are examples. Decision on these are usually taken on the basis of our beliefs about what is the optimal plan for present and future. Thus, these choices are made in the context of uncertainty Consequently, there is a risk that the assumptions made in our plans may not materialise. Anticipating such eventualities we resort to contingencies and probabilities. That is, if we want a realistic model of choice, it would be necessary to include in our models the effects of uncertainties.
It is seen that a person who has vNM expected utility preferences over lotteries will act as if she is maximising the utility as a weighted average of each state, weights being their probabilities. In this formulation, the utility hnction is made operational by ordinal utility ranking of individual preferences. Consequently, the utility functions are defined upto a positive linear transformation. Agents could be risk averse, risk loving or risk neutral depending on the type of utility functions being concave, convex or linear. An important insight gained from the expected utility theory is concerning a risk averse agent who has the expected utility of wealth less than the utility of expected wealth. Based on the expected utility theory, we explain why risk-averse individuals will buy insurance and risk-loving ones will pay to gamble.