411_Pessimism_and_the_Maximin_and_Minimax_Regret_Rules

411_Pessimism_and_the_Maximin_and_Minimax_Regret_Rules -...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Topic 4: Decision Analysis Module 4.1: Traditional Decision Theory Lecture 4.1.1: Pessimism and the maximin and minimax regret rules INTRODUCTION Decision theory pertains to human decision making in a world of incomplete information and incomplete human control over events. Decision theory posits two players: a cognitive human and a randomizing nature. The human, called the decision maker, performs analyses, makes calculations, and cognitively decides upon a course of action in an effort to optimize his or her own welfare. The metaphorical nature is non-cognitive, does not perform analyses or make calculations, and does not choose courses of action in any self-interested way. Rather, nature blithely selects courses of action purely in a probabilistic way. Decision Problems The two fundamental concepts of decision theory are states of nature and acts. States of nature are under the control of nature and beyond the control of the decision maker, and are probabilistically selected by nature. Acts are under the control of the decision maker and any one of the available acts can be selected by the decision maker. Further, decision theory presumes that the problem is presented to the decision maker, i.e., that the problem itself, like the states of nature, is beyond the control of the decision maker. A decision problem is represented as a pair <S,A> composed of a set S of states of nature and a set A of acts. So specified, <S,A> is a decision problem under uncertainty . If the decision maker has a probability system over the states, then <S,A> is a decision problem under risk . Decision Makers Decision Theory posits that the human decision maker brings to the resolution of a decision problem beliefs and preferences. Specifically, the theory presumes that the decision maker possesses a probability system that captures his or her (partial) beliefs about nature's selection of states, a belief system about the outcomes accruing to the
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/03/2011 for the course COMM 290 taught by Professor Brian during the Winter '09 term at The University of British Columbia.

Page1 / 4

411_Pessimism_and_the_Maximin_and_Minimax_Regret_Rules -...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online