Donald Bruce Gillies (October 15, 1928 – July 17, 1975) was a Canadian mathematician and computer scientist, known for his work in game theory, computer design, and minicomputer programming environments. Contents 1 Education 2 Early career 3 Later career 4 In memoriam 5 Students 6 See also 7 References 8 External links Education[edit]
The Math Department at
As the main designer of the pipelined control circuitry for ILLIAC II,
Gillies developed the algorithms for the month-long checkout and
acceptance testing of the new computer. To draw attention to this new
computer design in the field of mathematics, he wrote a mersenne
prime-number algorithm and found 3 new Mersenne primes, and published
them in a paper, "Three new
Greg Chesson
Ian Stocks
Al Davis
Many others, some in the
See also[edit] History of computing Largest known prime number References[edit] ^ L.E. Bush, William Lowell Putnam Mathematical Competition, American
Math Monthly Vol 57 No 7 (Aug-Sep 1950) pp 467-470
^ Kuhn, H. W.; Tucker, A. W.., eds. (1953). "Two variants of Poker, D.
B. Gillies, J. P. Mayberry, and J. von Neumann". Contributions to the
Theory of Games. 2. pp. 13–51.
^ Douglas Jones (U-Iowa Faculty), alt.folklore.computers, 14 July 2000
^ Kuhn, H. W.; Tucker, A. W.., eds. (1953). "Discriminatory and
Bargaining Solutions to a class of Symmetric n-Person Games, D. B.
Gillies". Contributions to the Theory of Games. 2.
pp. 325–342.
^ Engagement Announcement (New York Times), Alice E. Dunkle is
Betrothed to Donald Gillies, a Mathematician, December 10, 1955.
^ A HISTORY OF ASTRONOMY AT ILLINOIS
^ I. R. King, G. C. McVittie, G. W. Swenson, Jr., and S. P. Wyatt,
Jr., "Further observations of the first satellite," Nature, No. 4593,
November 9, 1957, p. 943.
^ Vladimir Isachenov (AP), Secrets of Sputnik Launch Revealed, October
1, 2007.
^ Gillies, Donald B.; Meagher, Ralph E.; Muller, David E.; McKay,
R.W.; Nash, Jack P.; Robertson, James E.; Taub, Abe H. (October 1957).
"On the design of a very high-speed computer".
External links[edit]
v t e Topics in game theory Definitions Cooperative game Determinacy Escalation of commitment Extensive-form game First-player and second-player win Game complexity Graphical game Hierarchy of beliefs Information set Normal-form game Preference Sequential game Simultaneous game Simultaneous action selection Solved game Succinct game Equilibrium concepts Nash equilibrium Subgame perfection Mertens-stable equilibrium Bayesian Nash equilibrium Perfect Bayesian equilibrium Trembling hand Proper equilibrium Epsilon-equilibrium Correlated equilibrium Sequential equilibrium Quasi-perfect equilibrium Evolutionarily stable strategy Risk dominance Core Shapley value Pareto efficiency Gibbs equilibrium Quantal response equilibrium Self-confirming equilibrium Strong Nash equilibrium Markov perfect equilibrium Strategies Dominant strategies Pure strategy Mixed strategy Strategy-stealing argument Tit for tat Grim trigger Collusion Backward induction Forward induction Markov strategy Classes of games Symmetric game Perfect information Repeated game Signaling game Screening game Cheap talk Zero-sum game Mechanism design Bargaining problem Stochastic game n-player game Large Poisson game Nontransitive game Global game Strictly determined game Potential game Games Chess Infinite chess Checkers Tic-tac-toe Prisoner's dilemma Optional prisoner's dilemma Traveler's dilemma Coordination game Chicken Centipede game Volunteer's dilemma Dollar auction Battle of the sexes Stag hunt Matching pennies Ultimatum game Rock–paper–scissors Pirate game Dictator game Public goods game Blotto game War of attrition El Farol Bar problem Fair division Fair cake-cutting Cournot game Deadlock Diner's dilemma Guess 2/3 of the average Kuhn poker Nash bargaining game Prisoners and hats puzzle Trust game Princess and Monster game Rendezvous problem Theorems
Key figures Albert W. Tucker Amos Tversky Ariel Rubinstein Claude Shannon Daniel Kahneman David K. Levine David M. Kreps Donald B. Gillies Drew Fudenberg Eric Maskin Harold W. Kuhn Herbert Simon Hervé Moulin Jean Tirole Jean-François Mertens John Harsanyi John Maynard Smith Antoine Augustin Cournot John Nash John von Neumann Kenneth Arrow Kenneth Binmore Leonid Hurwicz Lloyd Shapley Melvin Dresher Merrill M. Flood Oskar Morgenstern Paul Milgrom Peyton Young Reinhard Selten Robert Axelrod Robert Aumann Robert B. Wilson Roger Myerson Samuel Bowles Thomas Schelling William Vickrey See also All-pay auction Alpha–beta pruning Bertrand paradox Bounded rationality Combinatorial game theory Confrontation analysis Coopetition First-move advantage in chess Game mechanics Glossary of game theory List of game theorists List of games in game theory No-win situation Solving chess Topological game Tragedy of the commons Tyranny of small decisions Authority contro |