Alain A. Lewis (born 1947) is an American mathematician. A student of the mathematical economist
Kenneth Arrow
Kenneth Joseph Arrow (August 23, 1921 – February 21, 2017) was an American economist, mathematician and political theorist. He received the John Bates Clark Medal in 1957, and the Nobel Memorial Prize in Economic Sciences in 1972, along with ...
, Lewis is credited by the historian of economics
Philip Mirowski
Philip Mirowski (born 21 August 1951 in Jackson, Michigan) is a historian and philosopher of economic thought at the University of Notre Dame. He received a PhD in Economics from the University of Michigan in 1979.
Career
In his 1989 book ''More ...
with making Arrow aware of
computational limits to economic agency.
Life
Lewis gained his BA in philosophy, economics and statistics from
George Washington University
The George Washington University (GW or GWU) is a Private university, private University charter#Federal, federally-chartered research university in Washington, D.C., United States. Originally named Columbian College, it was chartered in 1821 by ...
in 1969, and a PhD in applied mathematics from
Harvard University
Harvard University is a Private university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyma ...
in 1979. He was based at
Lawrence Livermore Labs
Lawrence Livermore National Laboratory (LLNL) is a federally funded research and development center in Livermore, California, United States. Originally established in 1952, the laboratory now is sponsored by the United States Department of Ener ...
from 1978 to 1979,
RAND
The RAND Corporation, doing business as RAND, is an American nonprofit global policy think tank, research institute, and public sector consulting firm. RAND engages in research and development (R&D) in several fields and industries. Since the ...
from 1979 to 1982, the
University of Singapore
The National University of Singapore (NUS) is a national public research university in Singapore. It was officially established in 1980 by the merging of the University of Singapore and Nanyang University.
The university offers degree program ...
from 1981 to 1983,
Cornell University
Cornell University is a Private university, private Ivy League research university based in Ithaca, New York, United States. The university was co-founded by American philanthropist Ezra Cornell and historian and educator Andrew Dickson W ...
from 1983 to 1987 and
University of California, Irvine
The University of California, Irvine (UCI or UC Irvine) is a Public university, public Land-grant university, land-grant research university in Irvine, California, United States. One of the ten campuses of the University of California system, U ...
from 1987.
Works
*
A Nonstandard Theory of Games. Part I: On the Existence of the Quasi-Kernel and Related Solution Concepts for *Finite Cooperative Games, Harvard University Center on Decision and Conflict in Complex Situations Technical Report no. TR-6, June 1979
* 'A Nonstandard Theory of Games. Part II. On Non-Atomic Representations', Harvard University, Technical Report no. TR-7, June 1979
* 'A Nonstandard Theory of Games. Part III. Noncooperative *Finite Games', Harvard University, Technical Report no TR-8, June 1979
*
A Nonstandard Theory of Games. Part IV. Equilibrium Points for Finite Games, Technical Report no. TR-9, June 1979
*
, RAND Papers, 1979
*
, RAND Papers, 1980
* (with Perry Thorndyke and others)
, RAND Reports, 1980
*
, RAND Papers, 1980
*
, RAND Papers, 1980
*
, RAND Papers, 1980
*
, RAND Papers, 1981
* 'Hyperfinite Von Neumann games', ''Mathematical Social Sciences'', Vol. 9, No. 2 (1985), pp. 189–194
* 'Loeb-measurable solutions to *finite games', Vol. 9, No. 3 (1985), pp. 197–247
* 'On effectively computable realizations of choice functions', ''Mathematical Social Sciences'', Vol. 10, No. 1 (1985), pp. 43–80
* 'The minimum degree of recursively representable choice functions', ''Mathematical Social Sciences'', Vol. 10, No. 2 (1985), pp. 179–88
* 'Complex structures and composite models – An essay on methodology', ''Mathematical Social Sciences'', Vol. 10, No. 3 (1985), pp. 211–246
* 'On the construction of subinvariant weakly additive set-functions', ''Mathematical Social Sciences'', Vol. 13, No. 1 (1987), pp. 81–86
* 'Some aspects of constructive mathematics that are relevant to the foundations of neoclassical mathematical economics and the theory of games', Stanford University Center for Research on Organization Efficiency, Technical Report No. 526 (April 1988).
* (with Rangarajan Sundaram) 'An alternate approach to axiomatizations of the von Neumann/Morgenstern characteristic function, ''Mathematical Social Sciences'', Vol. 15, No. 2 (1988), pp. 145–56
* 'Lower bounds on degrees of game-theoretic structures', ''Mathematical Social Sciences'', Vol. 16, No. 1 (1988), pp. 1–39
* 'An infinite version of arrow's theorem in the effective setting', ''Mathematical Social Sciences'', Vol. 16, No. 1 (1988), pp. 41–48
* 'On the independence of core-equivalence results from Zermelo–Fraenkel set theory', ''Mathematical Social Sciences'', Vol. 19. No. 1 (1990), pp. 55–95
* 'A note on degrees of presentation of games as relational structures', ''Mathematical Social Sciences'', Vol. 19. No. 2 (1990), pp. 195–201
* 'A game-theoretic equivalence to the Hahn–Banach theorem', ''Mathematical Social Sciences'', Vol. 20, No. 3 (1990), pp. 199–214
* 'On the Effective Content of Asymptotic Verifications of Edgeworth's Conjecture', 1991
* (with Y. Inagaki) 'On the Effective Content of Theories', preprint, University of California at Irvine, School of Social Sciences, 1991.
* 'On Turing degrees of Walrasian models and a general impossibility result in the theory of decision-making', ''Mathematical Social Sciences'', Vol. 24, No. 2-3 (1992), pp. 141–171
* 'Some aspects of effectively constructive mathematics that are relevant to the foundations of neoclassical mathematical economics and theory of games', ''Mathematical Social Sciences'', Vol. 24, No. 2-3 (1992), pp. 209–235
External links
*
References
{{DEFAULTSORT:Lewis, Alain A.
1947 births
Living people
American mathematicians
Mathematical economists
American game theorists
Harvard University alumni
Columbian College of Arts and Sciences alumni