Math @ Duke

Papers Published
 Kraines, D; Kraines, V, The threshold of cooperation among adaptive agents: Pavlov and the stag hunt,
Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 1193
(January, 2015),
pp. 219231, ISSN 03029743 [abs]
 Kraines, DP; Kraines, VY, Natural selection of memoryone strategies for the iterated prisoner's dilemma.,
Journal of Theoretical Biology, vol. 203 no. 4
(April, 2000),
pp. 335355, ISSN 00225193 [10736212], [doi] [abs]
 Kraines, D; Kraines, V, Evolution of Learning among Pavlov Strategies in a Competitive Environment with Noise,
Journal of Conflict Resolution, vol. 39 no. 3
(September, 1995),
pp. 439466 [doi]
 Kraines, D; Kraines, V, Learning to cooperate with Pavlov an adaptive strategy for the iterated Prisoner's Dilemma with noise,
Theory and Decision, vol. 35 no. 2
(1993),
pp. 107150, ISSN 00405833 [doi] [abs]
 Kraines, D; Kraines, V, Pavlov and the prisoner's dilemma,
Theory and Decision, vol. 26 no. 1
(1989),
pp. 4779, ISSN 00405833 [doi] [abs]
 Geist, R; Kraines, D; Fink, P, NATURAL LANGUAGE COMPUTING IN A LINEAR ALGEBRA COURSE.
(1982),
pp. 203208
 Kraines, D, The Kernel of the loop suspension map,
Illinois Journal of Mathematics, vol. 21 no. 1
(January, 1977),
pp. 91108
 Kraines, D, The A(p) cohomology of some k stage Postnikov systems,
Commentarii Mathematici Helvetici, vol. 48 no. 1
(1973),
pp. 5671, ISSN 00102571 [doi]
 Kraines, D; Schochet, C, Differentials in the EilenbergMoore spectral sequence,
Journal of Pure and Applied Algebra, vol. 2 no. 2
(1972),
pp. 131148, ISSN 00224049 [doi]
 Kraines, D, On Excess in the Milnor Basis,
Bulletin of the London Mathematical Society, vol. 3 no. 3
(November, 1971),
pp. 363365 [doi]
 Drachman, B; Kraines, D, A duality between transpotence elements and Massey products,
Pacific Journal of Mathematics, vol. 39 no. 1
(October, 1971),
pp. 119123 [doi]
 Kraines, D, Rational cohomology operations and Massey products,
Proceedings of the American Mathematical Society, vol. 22 no. 1
(January, 1969),
pp. 238238 [doi]
 Kraines, D, Primitive chains and H_{*}(ΩX),
Topology, vol. 8 no. 1
(1969),
pp. 3138, ISSN 00409383 [doi]
 Kraines, D, Massey higher products,
Transactions of the American Mathematical Society, vol. 124 no. 3
(March, 1966),
pp. 431431 [doi]
 Kraines, D, Higher products, vol. 72 no. 1
(January, 1966),
pp. 128132 [doi]
 David Kraines, Vivian Kraines, Evolution of learning among Pavlov strategies,
J. Conflict Resolution 39 (1995), 439466.
 David Kraines, The case for single purpose mathematical software,
Fifth International Conference on Technology in Collegiate Mathematics, 1993.
 David P. Kraines, Vivian Y. Kraines, Linear algebra software for the IBMPC,
Coll. Math. J. 21 (1990), 5764
 David P. Kraines, David A. Smith, Computers in the classroom,
Coll. Math J. 19 (1988), 261267.
 David P. Kraines, Vivian Y. Kraines, Linear algebra with computers,
Discipline Symposium, ACIS, (1987), 1322.
 David P. Kraines, Thomas Lada, The cohomology of the DyerLashof algebra,
Contemporary Mathematics 19 (1983), 145152.
 David P. Kraines, Thomas Lada, Applications of the Miller spectral sequence,
Canadian Math. Soc. Proc. 2 (1982), 145152
 David P. Kraines, Cohomology theories and transfer,
Brazilian Math Society (IMPA) 1981
 David P. Kraines, Thomas Lada, A counterexample to the transfer conjecture,
Lecture Notes in Math. 741 SpringerVerlag (1979), 588624.
 David P. Kraines, The kernel of the loop map,
. Topology and its Applications Lecture Notes in Pure and Applied Mathematics, 12, 1975
 David P. Kraines, Twisted multiplications on generalized EilenbergMacLane spaces,
Math. Scand. 32 (1973), 273285.
 David P. Kraines, Approximations to self dual Hopf algebras,
American J. of Math. (1972), 963973.
 David P. Kraines, The cohomology of certain k stage Postnikov systems,
Proc. the Advanced Inst. on Algebraic Topology, 1, Aarhus (1970), 212239.
 David P. Kraines, Primitive chains and H*(Omega X),
Topology 8 (1969) 3138
 David P. Kraines, Loop Operations,
Conf on Algebraic Topology, UICC (1968) 3138
Papers Submitted
 David P. Kraines & Vivian Y. Kraines, Protocols for Cooperation; Cultural Diversity of Strategies for the Alternating Prisoner's Dilemma
, submitted 2003 [pdf]


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