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Decision Making using Game Theory: An introduction for managers

Decision Making using Game Theory: An introduction for managers

Decision Making using Game Theory: An introduction for managers

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1 IntroductionMan is a gaming animal. He must always be trying to get the better in something or other.Charles Lamb 1775–1834 ‘Essays of Elia’1<strong>Game</strong> theory is the theory of independent and interdependent decisionmaking. It is concerned with decision making in organisations wherethe outcome depends on the decisions of two or more autonomousplayers, one of which may be nature itself, and where no single decisionmaker has full control over the outcomes. Obviously, games like chessand bridge fall within the ambit of game theory, but so do many othersocial situations which are not commonly regarded as games in theeveryday sense of the word.Classical models fail to deal with interdependent decision makingbecause they treat players as inanimate subjects. They are cause andeVect models that neglect the fact that people make decisions that areconsciously inXuenced by what others decide. A game theory model,on the other hand, is constructed around the strategic choices availableto players, where the preferred outcomes are clearly deWned andknown.Consider the following situation. Two cyclists are going in oppositedirections along a narrow path. They are due to collide and it is in boththeir interests to avoid such a collision. Each has three strategies: moveto the right; move to the left; or maintain direction. Obviously, theoutcome depends on the decisions of both cyclists and their interestscoincide exactly. This is a fully cooperative game and the players need tosignal their intentions to one other.However, sometimes the interests of players can be completelyopposed. Say, <strong>for</strong> example, that a number of retail outlets are each

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