Decision Making using Game Theory: An introduction for managers

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53Sequential decision making in single-player gamesWith sports fieldsGreen-field siteWithout sportsfieldsNew buildingExisting siteMoveduringworkDisperse staffto other officesnearbyMove en bloc toanother siteStay in prefabson existing siteExtensionWith indoorsportsfacilitiesWith theatre orpresentation facilitiesWith common roomsWith a full Art &Design centreIndividualstudiosComputercentreNetworkedStand aloneFigure 4.4The planning process <strong>for</strong> a building programme.∑Alpha stage: All the parents of terminal nodes are selected and to eachof these alpha nodes is assigned the best possible pay-oV from theirterminals. If a node has only one terminal node, then that pay-oVmust be assigned. All but the best pay-oV nodes are deleted to get athinned-out tree.
54Sequential decision making and cooperative games of strategyaejfrbgkhlcimFigure 4.5A decision-making graph.Dealtwithin-shopReprimandShiftsupervisorRe-do workwithout overtimeBadbehaviourReferredtomanagerLower hourly rateGoodbehaviourPraiseMerit starsSackedPraise in weeklymeetingsIncreasedhourly ratePromotion to managerFigure 4.6A decision-making graph <strong>for</strong> a system of sanction and reward.
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Decision Making Using Game TheoryAn
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CAMBRIDGE UNIVERSITY PRESSCambridge
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viContents4 Sequential decision mak
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MMMM
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xPreface∑∑∑To Wnd new solutio
Page 13 and 14: 2Introductionvying for business fro
Page 16 and 17: 5TerminologyTable 1.1 The union’s
Page 18 and 19: 7Classifying gamesGAME THEORYGames
Page 20 and 21: 9A brief history of game theoryIn 1
Page 22 and 23: 11A brief history of game theoryano
Page 24 and 25: 13A brief history of game theoryIt
Page 26 and 27: 15Layoutexplained. Games involving
Page 28 and 29: 2 Games of skillIt is not from the
Page 30 and 31: 19Linear programming, optimisation
Page 38 and 39: 27The Lagrange method of partial de
Page 44 and 45: 33An introduction to basic probabil
Page 46 and 47: 35An introduction to basic probabil
Page 48 and 49: 37Games of chance involving riskV(X
Page 50 and 51: 39Games of chance involving riskthe
Page 52 and 53: 41Games of chance involving riskyu(
Page 54 and 55: 43Games of chance involving riskExa
Page 56 and 57: 45Games of chance involving uncerta
Page 58 and 59: 47Games of chance involving uncerta
Page 60 and 61: 49Representing sequential decision
Page 62 and 63: 51Representing sequential decision
Page 66 and 67: 55Sequential decision making in sin
Page 78 and 79: 67Sequential decision making in two
Page 84 and 85: 73Cooperative two-person gamesapply
Page 86 and 87: 75Cooperative two-person games∑it
Page 88 and 89: 5 Two-person zero-sum games ofstrat
Page 90 and 91: 79Representing zero-sum gamesPlayer
Page 92 and 93: 81Games with saddle pointsFigure 5.
Page 94 and 95: 83Games with saddle pointsSurgeonSt
Page 96 and 97: 85Games with saddle pointsPlayer 1a
Page 98 and 99: 87Games with no saddle pointsPlayer
Page 100 and 101: 89Games with no saddle pointsStrate
Page 102 and 103: 91Large matrices generallybigger th
Page 104 and 105: 93Interval and ordinal scales for p
Page 110 and 111: 99Representing mixed-motive games a
Page 112 and 113: 101Representing mixed-motive games
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103Mixed-motive games without singl
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113Summary of features of mixed-mot
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115The Cournot, von Stackelberg and
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129Solving games without Nash equil
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7 Repeated gamesLife is an offensiv
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137Infinitely repeated gamesincenti
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141Finitely repeated gamescontinuou
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143Finitely repeated gamesBUPALarge
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145Finitely repeated gamesGHGLarge
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147Finitely repeated gamesNatureGHG
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8 Multi-person games, coalitions an
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151Mixed-motive multi-person gamesp
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153Partially cooperative multi-pers
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155Indices of power: measuring infl
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175Rationalityexperimental evidence
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177Indeterminacygot locked into a l
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179Inconsistencythe pot of £49 at
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181Conclusionpost-industrial econom
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183Appendix APlayer 1 wants to maxi
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185Appendix APlayer 1choosesrow 1Pl
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187Appendix Aon the straight line b
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189Appendix Amax p min q Σw ij p i
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191Appendix Bandp(B/A 2 )·p(A 2 )p
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193BibliographyBenoit, J.P. & Krish
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195BibliographyJenkinson, T. (Ed.)
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197BibliographyRobinson, M. (1975)
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Indexancestors and descendants 49ap
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201Indexmaximin principle, in chanc
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203Indexschool buses college cooper
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Decision Making using Game Theory: An introduction for managers

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