Potgieter, Petrus H. and Rosinger, Elemér E. (2007): Is Economics Entering its PostWitchcraft Era?
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Abstract
Recently, an awareness is emerging in economics about the fact that important problems are not solvable algorithmically, that is, by any finite number of steps. This statement can be made mathematically exact and this paper reviews the contributions that have been made in this regard, related to standard topics in economics.
Item Type:  MPRA Paper 

Institution:  University of South Africa 
Original Title:  Is Economics Entering its PostWitchcraft Era? 
Language:  English 
Keywords:  Computability economics; general equilibrium theory; Arrow's impossibility theorem; Debreu's theorem; Game Theory; Malleus Maleficiarum 
Subjects:  A  General Economics and Teaching > A1  General Economics > A12  Relation of Economics to Other Disciplines C  Mathematical and Quantitative Methods > C0  General > C02  Mathematical Methods A  General Economics and Teaching > A1  General Economics > A11  Role of Economics ; Role of Economists ; Market for Economists 
Item ID:  5402 
Depositing User:  Petrus H Potgieter 
Date Deposited:  22 Oct 2007 
Last Modified:  30 Sep 2019 18:55 
References:  Baigger, Gunter. 1985. Die Nichtkonstruktivitat des Brouwerschen Fixpunktsatzes. Arch. Math. Logik Grundlag., 25(34):183188. BBC NEWS (AsiaPacific): Vanuatu cargo cult marks 50 years. http://news.bbc.co.uk/2/hi/asiapacific/6363843.stm (accessed March 31, 2007). Binmore, K. 1987. Modelling rational players. Part I. Economics and Philosophy, 3:179214. Binmore, K. 1988. Modelling rational players. Part II. Economics and Philosophy, 4:955. Binmore, Ken. 1998. Game Theory and the Social Contract, Vol. 2: Just Playing. The MIT Press. Binmore, Ken. 1990. Essays on the foundations of game theory. Oxford: Basil Blackwell. Binmore, Ken. 1991. Fun and Games: A Text on Game Theory. D.C. Heath. Brattka, Vasco. 2001. Recursion and Computability over Topological Structures. Electronic Notes in Theoretical Computer Science 40:5. Bridges, Douglas S., and Fred Richman. 1991. A recursive counterexample to Debreu's theorem on the existence of a utility function. Mathematical Social Sciences 21, no. 2 (April): 179182. Canning, David. 1992. Rationality, Computability, and Nash Equilibrium. Econometrica 60, no. 4 (July): 877888. Debreu, Gerard. 1970. Economies with a Finite Set of Equilibria. Econometrica 38, no. 3 (May): 387392. Fishburn, Peter C. 1970. Arrow's impossibility theorem: Concise proof and infinite voters. Journal of Economic Theory 2, no. 1 (March): 103106. Gneezy, U., and A. Rustichini. 2000. A Fine is a Price. The Journal of Legal Studies 29 (1): 118. http://citeseer.ist.psu.edu/gneezy98fine.html (accessed March 29, 2007) Government of South Africa. 2006. Report on Incentive Structures of Social Assistance Grants in South Africa. Pretoria: Department of Social Development. http://www.welfare.gov.za/documents/2006/gps.pdf (accessed March 31, 2007). Feynman, Richard. 1974. Cargo Cult Science. http://calteches.library.caltech.edu/51/02/CargoCult.htm (accessed March 31, 2007). Hayek, F. A. 1945. The Use of Knowledge in Society. The American Economic Review 35, no. 4 (September): 519530. Jeffry L. Hirst. Notes on Reverse Mathematics and Brouwer's Fixed Point Theorem. available online: http://www.mathsci.appstate.edu/ jlh/snp/pdfslides/bfp.pdf. Lucas, W. F. 1968. A game with no solution. Bull. Amer. Math. Soc. 74:237239. Mihara, H. Reiju. 1999. Arrow's theorem, countably many agents, and more visible invisible dictators. Journal of Mathematical Economics 32, no. 3 (November): 267287. Milnor, John. 1998. John Nash, and A beautiful mind [Simon Schuster, New York, 1998] by S. Nasar. Notices of the American Mathematical Society 45, no. 10: 13291332. Nasar, S. (1998). A Beautiful Mind : A Biography of John Forbes Nash, Jr. Simon Schuster. Neumann, John Von, and Oskar Morgenstern. 1944. Theory of Games and Economic Behavior. Princeton University Press. Orevkov, V.P. A constructive map of the square into itself, which moves every constructive point. Dokl. Akad. Nauk SSSR, 152:5558, 1963. Rasmusen, Eric. 2006. Games and Information: An Introduction to Game Theory. Blackwell Publishing Limited. Rosinger, Elemér E. 2004. Reconsidering Conflict and Cooperation. math/0405065. http://arxiv.org/abs/math/0405065 (accessed July 1, 2007). Rosinger, Elemer E. 2005. The NashEquilibrium Requires Strong Cooperation. math/0507013. http://arxiv.org/abs/math/0507013 (accessed July 1, 2007). Rassenti, Stephen, Stanley S. Reynolds, Vernon L. Smith, and Ferenc Szidarovszky. 2000. Adaptation and convergence of behavior in repeated experimental Cournot games. Journal of Economic Behavior Organization 41, no. 2 (February): 117146. Smolin, L. (2007). The Trouble With Physics: The Rise of String Theory, The Fall of a Science, and What Comes Next. Mariner Books. Wong, KamChau and Richter, Marcel K. 1996. Bounded rationalities and computable economies. Discussion paper 297, Minnesota  Center for Economic Research, December 1996. Available online: http://ideas.repec.org/p/fth/minner/297.html [accessed 20041230]. Wong, KamChau and Richter, Marcel K. 1999. Noncomputability of competitive equilibrium. Economic Theory, 14(1):127. Wong, KamChau and Richter, Marcel K. 1999. Computable preference and utility. Journal of Mathematical Economics, 32(3):339354. 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/5402 
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