193BibliographyBenoit, J.P. & Krishna, V. (1987) Dynamic duopoly: prices and quantities, Review ofEconomic Studies, Vol.54, No.1(177), pp.23–35.Bertrand, J. (1883) Theorie mathematique de la richesse sociale, par Leon Walras; recherchessur les principes mathematique de la theorie des richesses, par AugustinCournot, Journal des Savants, September, pp.499–508.Bierman, H.S. & Fernandez, L.F. (1998) <strong>Game</strong> <strong>Theory</strong> with Economic Applications (Reading,MA, Addison-Wesley). [2nd edition.]Binmore, K. (1987) Modelling rational players (part I), Economics and Philosophy, Vol.3,No.2, pp.179–214.Binmore, K.G. (1990) Essays on the Foundation of <strong>Game</strong> <strong>Theory</strong> (Ox<strong>for</strong>d, Basil Blackwell).Binmore, K. (1992) Fun and <strong>Game</strong>s: A Text on <strong>Game</strong> <strong>Theory</strong> (Lexington, MA, D.C. Heath).Borel, E. (1924) Sur les jeux ou intervennent l’hasard et l’habilite des joueurs, in: J.Hermann (Ed.) Theorie des Probabilities, pp.204–24 (Paris, Librairie ScientiWque).Translation: Savage, L.J. (1953) On games that involve chance and the skill of players,Econometrica, Vol.21, No.1, pp.101–15.Brams, S.J. (1990) Negotiation <strong>Game</strong>s: Applying <strong>Game</strong> <strong>Theory</strong> to Bargaining and Arbitration(London, Routledge).Bresnahan, T.F. (1981) Duopoly models with consistent conjectures, American EconomicReview, Vol.71, No.5, pp.934–45.Champsaur, P. (1975) Cooperation versus competition, Journal of Economic <strong>Theory</strong>,Vol.11, No.3, pp.394–417.Colman, A.M. (1982) <strong>Game</strong> <strong>Theory</strong> and Experimental <strong>Game</strong>s: The Study of StrategicInteraction (Ox<strong>for</strong>d, Pergamon Press).Corsi, J.R. (1981) Terrorism as a desperate game: fear, bargaining and communication inthe terrorist event, Journal of ConXict Resolution, Vol.25, No.2, pp.47–85.Cournot, A.A. (1838) Recherches sur les Principes Mathematiques de la theorie des Richesses(Paris). [See Bacon, N.T. <strong>for</strong> English edition.]Cowen, R. & Fisher, P. (1998) Security council re<strong>for</strong>m: a game theoretic analysis, MathematicsToday, Vol.34, No.4, pp.100–4.David, F.N. (1962) <strong>Game</strong>s, Gods and Gambling: The Origins and History of Probabilityand Statistical Ideas from the Earliest Times to the Newtonian Era (London, CharlesGriYn).Deegan, J. & Packel, E.W. (1978) A new index of power <strong>for</strong> simple n-person games,International Journal of <strong>Game</strong> <strong>Theory</strong>, Vol.7, Issue 2, pp.113–23.Dimand, R.W. & Dimand, M.A. (1992) The early history of the theory of strategic gamesfrom Waldegrave to Borel, in: E.R. Weintraub (Ed.) Toward a History of <strong>Game</strong> <strong>Theory</strong>(Durham, NC, Duke University Press).Dixit, A.K. & NalebuV, B.J. (1991) Thinking Strategically: The Competitive Edge in Business,Politics, and Everyday Life (New York, Norton).Dixit, A. & Skeath, S. (1999) <strong>Game</strong>s of Strategy (New York, Norton).Eatwell, J., Milgate, M. & Newman, P. (Eds) (1989) The New Palgrave: <strong>Game</strong> <strong>Theory</strong>(London, Macmillan). [First published in 1987 as The New Palgrave: A Dictionary ofEconomics.]
194BibliographyEdgeworth, F.Y. (1881) Mathematical Psychics: an Essay on the Applications of Mathematicsto the Moral Sciences (London, Kegan Paul). [Reprinted, 1967, New York, Augustus M.Kelley.]Farquharson, R. (1969) <strong>Theory</strong> of Voting (Ox<strong>for</strong>d, Basil Blackwell).Frechet, M. (1953) Emile Borel, initiator of the theory of psychological games and itsapplication, Econometrica, Vol.21, No.1, pp.118–24. [Followed immediately by: J. vonNeumann, Communication on the Borel Notes, pp.124–7].Friedman, J.W. (1986) <strong>Game</strong> <strong>Theory</strong> with Applications to Economics (Ox<strong>for</strong>d, Ox<strong>for</strong>dUniversity Press). [1990 edition.]Friedman, M. (1953) Essays in Positive Economics (Chicago, IL, University of ChicagoPress).Gale, D. & Shapley, L.S. (1962) College admissions and the stability of marriage, AmericanMathematical Monthly, Vol.69, pp.9–15.Gamson, W.A. (1961) A theory of coalition <strong>for</strong>mation, American Sociological Review,Vol.26, No.3, pp.373–82.Gibbons, R. (1992a) A Primer in <strong>Game</strong> <strong>Theory</strong> (London, Prentice Hall).Gibbons, R. (1992b) <strong>Game</strong> <strong>Theory</strong> <strong>for</strong> Applied Economists (Princeton, NJ, PrincetonUniversity Press).Gillies, D.B. (1959) Solutions to general non-zero-sum games, in: A.W. Tucker & R.D.Luce (Eds) Contributions to the <strong>Theory</strong> of <strong>Game</strong>s Vol.IV, <strong>An</strong>nals of Mathematics StudiesNumber 40, pp.47–85 (Princeton, NJ, Princeton University Press).Guyer, P. & Wood, A.W. (1998) Immanuel Kant: Critique of Pure Reason (Cambridge,Cambridge University Press).Gordon, R.J. (1990) What is new-Keynesian economics? Journal of Economic Literature,Vol.28, No.3, pp.1115–71.Hagenmayer, S.J. (1995) Albert W. Tucker, 89, Famed Mathematician, Philadelphia Inquiries,Thursday, February 2, p.B7Hargreaves Heap, S.P. & Varoufakis, Y. (1995) <strong>Game</strong> <strong>Theory</strong>: A Critical Introduction(London, Routledge).Harris, R.J. (1969) Note on Howard’s theory of meta-games, Psychological Reports, Vol.24,pp.849–50.Harsanyi, J.C. (1966) A general theory of rational behaviour in game situations, Econometrica,Vol.34, No.3, pp.613–34.Harsanyi, J.C. (1967) <strong>Game</strong>s with incomplete in<strong>for</strong>mation played by ‘Bayesian’ players,I–III, Management Science, Part I in:Vol.14, No.3, pp.159–82. Part II in: Vol.14, No.5,pp.320–34. Part III in: Vol.14, No.7, pp.486–503.Harsanyi, J.C. & Selten, R. (1972) A generalised Nash solution <strong>for</strong> two-person bargaininggames with incomplete in<strong>for</strong>mation, Management Science, Vol.18, No.5, Part 2, pp.80–106.Hart, S. (1977) Asymptotic value of games with a continuum of players, Journal ofMathematical Economics, Vol.4, pp.57–80.Hey, J.D. (1991) Experiments in Economics (Ox<strong>for</strong>d, Blackwell).Howard, N. (1966) The theory of metagames, General Systems, Vol.11, Part V, pp.167–86.
- Page 2 and 3:
Decision Making Using Game TheoryAn
- Page 5 and 6:
CAMBRIDGE UNIVERSITY PRESSCambridge
- Page 7 and 8:
viContents4 Sequential decision mak
- Page 9 and 10:
MMMM
- Page 11 and 12:
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 32 and 33:
21Linear programming, optimisation
- Page 34 and 35:
23Linear programming, optimisation
- Page 36 and 37:
25Linear programming, optimisation
- Page 38 and 39:
27The Lagrange method of partial de
- Page 40 and 41:
29The Lagrange method of partial de
- Page 42 and 43:
31The 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 64 and 65:
53Sequential decision making in sin
- Page 66 and 67:
55Sequential decision making in sin
- Page 68 and 69:
57Sequential decision making in sin
- Page 70 and 71:
59Sequential decision making in sin
- Page 72 and 73:
61Sequential decision making in sin
- Page 74 and 75:
63Sequential decision making in sin
- Page 76 and 77:
65Sequential decision making in sin
- Page 78 and 79:
67Sequential decision making in two
- Page 80 and 81:
69Sequential decision making in two
- Page 82 and 83:
71Sequential 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 106 and 107:
95Interval and ordinal scales for p
- Page 108 and 109:
97Interval and ordinal scales for p
- Page 110 and 111:
99Representing mixed-motive games a
- Page 112 and 113:
101Representing mixed-motive games
- Page 114 and 115:
103Mixed-motive games without singl
- Page 116 and 117:
105Mixed-motive games without singl
- Page 118 and 119:
107Mixed-motive games without singl
- Page 120 and 121:
109Mixed-motive games without singl
- Page 122 and 123:
111Mixed-motive games without singl
- Page 124 and 125:
113Summary of features of mixed-mot
- Page 126 and 127:
115The Cournot, von Stackelberg and
- Page 128 and 129:
117The Cournot, von Stackelberg and
- Page 130 and 131:
119The Cournot, von Stackelberg and
- Page 132 and 133:
121The Cournot, von Stackelberg and
- Page 134 and 135:
123The Cournot, von Stackelberg and
- Page 136 and 137:
125The Cournot, von Stackelberg and
- Page 138 and 139:
127The Cournot, von Stackelberg and
- Page 140 and 141:
129Solving games without Nash equil
- Page 142 and 143:
131Solving games without Nash equil
- Page 144 and 145:
133Solving games without Nash equil
- Page 146 and 147:
7 Repeated gamesLife is an offensiv
- Page 148 and 149:
137Infinitely repeated gamesincenti
- Page 152 and 153:
141Finitely repeated gamescontinuou
- Page 154 and 155: 143Finitely repeated gamesBUPALarge
- Page 156 and 157: 145Finitely repeated gamesGHGLarge
- Page 158 and 159: 147Finitely repeated gamesNatureGHG
- Page 160 and 161: 8 Multi-person games, coalitions an
- Page 162 and 163: 151Mixed-motive multi-person gamesp
- Page 164 and 165: 153Partially cooperative multi-pers
- Page 166 and 167: 155Indices of power: measuring infl
- Page 168 and 169: 157Indices of power: measuring infl
- Page 170 and 171: 159Indices of power: measuring infl
- Page 172 and 173: 161Indices of power: measuring infl
- Page 174 and 175: 163Indices of power: measuring infl
- Page 176 and 177: 165Indices of power: measuring infl
- Page 178 and 179: 167Indices of power: measuring infl
- Page 180 and 181: 169Indices of power: measuring infl
- Page 182 and 183: 171Indices of power: measuring infl
- Page 184 and 185: 173Indices of power: measuring infl
- Page 186 and 187: 175Rationalityexperimental evidence
- Page 188 and 189: 177Indeterminacygot locked into a l
- Page 190 and 191: 179Inconsistencythe pot of £49 at
- Page 192 and 193: 181Conclusionpost-industrial econom
- Page 194 and 195: 183Appendix APlayer 1 wants to maxi
- Page 196 and 197: 185Appendix APlayer 1choosesrow 1Pl
- Page 198 and 199: 187Appendix Aon the straight line b
- Page 200 and 201: 189Appendix Amax p min q Σw ij p i
- Page 202 and 203: 191Appendix Bandp(B/A 2 )·p(A 2 )p
- Page 206 and 207: 195BibliographyJenkinson, T. (Ed.)
- Page 208 and 209: 197BibliographyRobinson, M. (1975)
- Page 210 and 211: Indexancestors and descendants 49ap
- Page 212 and 213: 201Indexmaximin principle, in chanc
- Page 214 and 215: 203Indexschool buses college cooper