Papers and books applying NSA to economics and game theory

Abbreviations:

AMS - American Mathematical Society

IJGT - International Journal of Game Theory

JSL - Journal of Symbolic Logic

JME - Journal of Mathematical Economics

NSA - Nonstandard analysis

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Anderson R (1988) The second welfare theorem with nonconvex preferences. Econometrica 56 #2 pp 361-382

Brown D and Robinson A (1974) The cores of large standard exchange economies. J. of Econ. Theory 9 pp 245-254

Brown D and Robinson A (1975) Nonstandard exchange economies. Econometrica 43 pp 41-55

Brown D (1976) Existence of a competitive equilibrium in a nonstandard exchange economy. Econometrica 44 pp 537-546

Brown D and Loeb P (1976) The values of nonstandard exchange economies. Israel Journal of Mathematics 25 pp 71-86

Emmons D and Yannelis C (1985) On perfectly competitive economies: Loeb economies; in Lecture notes in econ. and math. systems Vol. 244: Advances in equilibrium theory. (ed. Aliprantis C, Burkinshaw O and Rothman N) Springer-Velag

Fishburn P (1992) On nonstandard nontransitive additive utility. J. of Econ. Theory 56 pp 426-433

Kannai Y (1992) Nonstandard concave utility functions. J. of Math. Econ. 21 pp 51-58

Keisler H.J. (1986) A price adjustment model with infinitesimal traders; in Models of Economic Dynamics pp 69-87 ed. H. Sonnenschein publ. Springer-Verlag

Keisler H.J. (1992) A law of large numbers for fast price adjustment. Transactions of the AMS 332 pp 1-51

Lewis A (1985) Loeb-measurable solutions to star-finite games. Math. Soc. Sci. Vol. 9 #3 pp 197-247

Rashid S (1979) The relationship between measure-theoretic and non-standard exchange economies. J. of Math. Econ. 5 195-202

Rashid S (1985) NSA and infinite economies: The Cournot-Nash solution; in Lecture notes in econ. and math. systems Vol. 244: Advances in equilibrium theory. (ed. Aliprantis C, Burkinshaw O and Rothman N) Springer-Velag

Rashid S (1987) Economies with many agents: an approach using NSA. Baltimore: Johns Hopkins U. Press

Skala H (1974) Nonstandard utilities and the foundation of game theory. IJGT 3 pp 67-81

Stigum, B (1990) Towards a formal science of economics: The axiomatic method in economics and econometrics. MIT Press Cambridge, MA and London. (Part 5)

Stroyan K (1983) Myopic utility functions on sequential economies. JME 11 pp 267-276

Wesley E (1971) An application of NSA to game theory. JSL 36: pp385-394

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