195BibliographyJenkinson, T. (Ed.) (2000) Readings in Microeconomics (Ox<strong>for</strong>d, Ox<strong>for</strong>d University Press).[Papers originally published in the Wrst fourteen volumes of the Ox<strong>for</strong>d Review ofEconomic Policy.]Johnston, R.J. (1978) On the measurement of power: some reactions to Laver, Environmentand Planning A, Vol.10, No.8, pp.907–14.Kagel, J.H. & Roth, A.E. (1995) The Handbook of Experimental Economics (Princeton, NJ,Princeton University Press).Kelley, H.H., Thibaut, J.W., RadloV, R. & Mundy, D. (1962) The development of cooperationin the ‘minimal social situation’, Psychological Monographs, Vol.76, No.19, WholeNo. 538.Kuhn, H.W. (1953) Extensive games and the problem of in<strong>for</strong>mation, in: H.W. Kuhn &A.Tucker (Eds) Contributions to the <strong>Theory</strong> of <strong>Game</strong>s Vol.II, <strong>An</strong>nals of Mathematics StudiesNumber 28, pp.193–216 (Princeton, NJ, Princeton University Press).Kreps, D.M. (1990) <strong>Game</strong> <strong>Theory</strong> and Economic Modelling (Ox<strong>for</strong>d, Clarendon Press).Kreps, D.M., Milgrom, P., Roberts, J. & Wilson, R. (1982) Rational cooperation in theWnitely repeated prisoner’s dilemma, Journal of Economic <strong>Theory</strong>, Vol.27, No.2, pp.245–52.Leonard, R.J. (1992), Creating a context <strong>for</strong> game theory, in: E.R. Weintraub (Ed.) Towarda History of <strong>Game</strong> <strong>Theory</strong> (Durham, NC, Duke University Press).Lewis, D.K. (1969) Convention: a Philosophical Study (Cambridge, MA, Harvard UniversityPress).Luce, R.D. & RaiVa, H. (1989) <strong>Game</strong>s and <strong>Decision</strong>s: Introduction and Critical Survey (NewYork, Dover). [Originally published, 1957, New York, Wiley.]Lyons, B. & Varoufakis, Y. (1989) <strong>Game</strong> theory, oligopoly and bargaining, in: J.D. Hey(Ed.) Current Issues in Microeconomics (Basingstoke, Macmillan).Mann, I. & Shapley, L.S. (1964) The a priori voting strength of the electoral college, in: M.Shubik (Ed.) <strong>Game</strong> <strong>Theory</strong> and Related Approaches to Social Behaviour, pp.151–64 (NewYork, Wiley).Mas-Colell, A. (1977) Competitive and value allocations of large exchange economies,Journal of Economic <strong>Theory</strong>, Vol.14, No.2, pp.419–38.Maynard Smith, J. (1982) Evolution and the <strong>Theory</strong> of <strong>Game</strong>s (Cambridge, CambridgeUniversity Press).McKelvey, R.D. & Niemi, R.G. (1978) A multistage game representation of sophisticatedvoting <strong>for</strong> binary procedures, Journal of Economic <strong>Theory</strong>, Vol.18, No.1, pp.1–22.McKelvey, R.D. & Palfrey, T.R. (1992) <strong>An</strong> experimental study of the centipede game,Econometrica, Vol.60, No.4, pp.803–36.Megiddo, N. (1986) Remarks on Bounded Rationality, Technical Report, IBM ResearchReport, RJ 54310, Computer Science. [Quoted in McKelvey & Palfrey (1992).]Milnor, J. & Shapley, L.S. (1957) On games of survival, in: M. Dresher, A.W. Tucker & P.Wolfe (Eds) Contributions to the <strong>Theory</strong> of <strong>Game</strong>s Vol.III, <strong>An</strong>nals of Mathematics StudiesNumber 39, pp.15–45 (Princeton, NJ, Princeton University Press).Mirowski, P. (1991) When games grow deadly serious: the military inXuence on theevolution of game theory, in: C.D. Goodwin (Ed.) Economics and National Security(Durham, NC, Duke University Press).
196BibliographyMitchell, C.R. & Banks, M. (1996) Handbook of ConXict Resolution: the <strong>An</strong>alytical Problem-Solving Approach (London, Pinter).Morgenstern, O. (1976) The collaboration between Oskar Morgenstern and John vonNeumann on the theory of games, Journal of Economic Literature, Vol.14, No.3, pp.805–16.Myerson, R.B. (1984) Cooperative games with incomplete in<strong>for</strong>mation, InternationalJournal of <strong>Game</strong> <strong>Theory</strong>, Vol.13, No.2, pp.69–96.Nasar, S. (1998) A Beautiful Mind: The Life of Mathematical Genius and Nobel LaureateJohn Nash (London, Faber).Nash, J.F. (1950) Equilibrium points in n-person games, Proceedings of the National cademyof Sciences of the United States of America, Vol.36, No.1, pp.48–9.Nash, J. (1951) Non co-operative games, <strong>An</strong>nals of Mathematics, Vol.54, No.2, pp.286–95.O’Neill, B. (1987) Nonmetric test of the minimax theory of two-person zerosum games,Proceedings of the National Academy of Sciences of the United States of America, Vol.84,No.7, pp.2106–9.Peleg, B. (1963) Solutions to cooperative games without side payments, Transactions of theAmerican Mathematical Society, Vol.106, pp.280–92.Phlips, L. (1995) Competition policy: a <strong>Game</strong> Theoretic Perspective (Cambridge, CambridgeUniversity Press).Plon, M. (1974) On the meaning of the notion of conXict and its study in social psychology,European Journal of Social Psychology, Vol.4, pp.389–436.Poundstone, W. (1993) Prisoner’s Dilemma: John von Neumann, <strong>Game</strong> <strong>Theory</strong>, and thePuzzle of the Bomb (Ox<strong>for</strong>d, Ox<strong>for</strong>d University Press). [First published, 1922, New York,Doubleday.]Radner, R. (1980) Collusive behaviour in noncooperative epsilon-equilibria of oligopolieswith long but Wnite lives, Journal of Economic <strong>Theory</strong>, Vol.22, No.2, pp.136–56.Rapoport, A. (1967a) Exploiter, leader, hero and martyr: the four archetypes of the 2 2game, Behavioral Science, Vol.12, pp.81–4.Rapoport, A. (1967b) Escape from paradox, ScientiWc American, Vol.217, No.1, pp.50–6.Rapoport, A (1989) Prisoner’s dilemma, in: J. Eatwell, M. Milgate & P. Newman (Eds) TheNew Palgrave: <strong>Game</strong> <strong>Theory</strong> (London, Macmillan). [Originally published as The NewPalgrave: A Dictionary of Economics, 1987.]Rapoport, A. & Guyer, M. (1966) A taxonomy of 2 2 games, General Systems, Vol.11,Part V, pp.203–14.Rapoport, A. & Orwant, C. (1962) Experimental games: a review, Behavioral Science, Vol.7,pp.1–37.Rees, R. (1993) Tacit collusion, Ox<strong>for</strong>d Review of Economic Policy, Vol.9, No.2, pp.27–40.Riker, W.H. (1962) The <strong>Theory</strong> of Political Coalitions (New Haven, CT, Yale UniversityPress).Riker, W.H. (1992) The entry of game theory into political science, in: E.R. Weintraub(Ed.) Toward a History of <strong>Game</strong> <strong>Theory</strong> (Durham, NC, Duke University Press).Riker, W.H. & Ordeshook, P.C. (1973) <strong>An</strong> Introduction to Positive Political <strong>Theory</strong> (EnglewoodCliVs, NJ, Prentice Hall).
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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
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2Introductionvying for business fro
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5TerminologyTable 1.1 The union’s
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7Classifying gamesGAME THEORYGames
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9A brief history of game theoryIn 1
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11A brief history of game theoryano
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13A brief history of game theoryIt
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15Layoutexplained. Games involving
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2 Games of skillIt is not from the
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19Linear programming, optimisation
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21Linear programming, optimisation
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23Linear programming, optimisation
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25Linear programming, optimisation
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27The Lagrange method of partial de
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29The Lagrange method of partial de
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31The Lagrange method of partial de
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33An introduction to basic probabil
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35An introduction to basic probabil
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37Games of chance involving riskV(X
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39Games of chance involving riskthe
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41Games of chance involving riskyu(
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43Games of chance involving riskExa
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45Games of chance involving uncerta
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47Games of chance involving uncerta
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49Representing sequential decision
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51Representing sequential decision
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53Sequential decision making in sin
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55Sequential decision making in sin
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57Sequential decision making in sin
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59Sequential decision making in sin
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61Sequential decision making in sin
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63Sequential decision making in sin
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65Sequential decision making in sin
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67Sequential decision making in two
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69Sequential decision making in two
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71Sequential decision making in two
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73Cooperative two-person gamesapply
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75Cooperative two-person games∑it
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5 Two-person zero-sum games ofstrat
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79Representing zero-sum gamesPlayer
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81Games with saddle pointsFigure 5.
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83Games with saddle pointsSurgeonSt
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85Games with saddle pointsPlayer 1a
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87Games with no saddle pointsPlayer
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89Games with no saddle pointsStrate
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91Large matrices generallybigger th
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93Interval and ordinal scales for p
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95Interval and ordinal scales for p
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97Interval and ordinal scales for p
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99Representing mixed-motive games a
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101Representing mixed-motive games
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103Mixed-motive games without singl
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105Mixed-motive games without singl
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107Mixed-motive games without singl
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109Mixed-motive games without singl
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111Mixed-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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117The Cournot, von Stackelberg and
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119The Cournot, von Stackelberg and
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121The Cournot, von Stackelberg and
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123The Cournot, von Stackelberg and
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125The Cournot, von Stackelberg and
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127The Cournot, von Stackelberg and
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129Solving games without Nash equil
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131Solving games without Nash equil
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133Solving 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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- Page 166 and 167: 155Indices of power: measuring infl
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- Page 186 and 187: 175Rationalityexperimental evidence
- Page 188 and 189: 177Indeterminacygot locked into a l
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- Page 194 and 195: 183Appendix APlayer 1 wants to maxi
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- Page 198 and 199: 187Appendix Aon the straight line b
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- Page 202 and 203: 191Appendix Bandp(B/A 2 )·p(A 2 )p
- Page 204 and 205: 193BibliographyBenoit, J.P. & Krish
- Page 208 and 209: 197BibliographyRobinson, M. (1975)
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