Rosinger, Elemer Elad (2005): The Nash Equilibrium requires strong cooperation.

PDF
MPRA_paper_27970.pdf Download (130kB)  Preview 
Abstract
Contrary to the customary view that the celebrated Nashequilibrium theorem in Game Theory is paradigmatic for noncooperative games, it is shown that, in fact, it is essentially based on a particularly strong cooperation assumption. Furthermore, in practice, this cooperation assumption is simply unrealistic.
Item Type:  MPRA Paper 

Original Title:  The Nash Equilibrium requires strong cooperation 
Language:  English 
Keywords:  noncooperation, strong cooperation, mixup in the Nash equilibrium 
Subjects:  D  Microeconomics > D5  General Equilibrium and Disequilibrium C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C71  Cooperative Games A  General Economics and Teaching > A1  General Economics > A12  Relation of Economics to Other Disciplines C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C62  Existence and Stability Conditions of Equilibrium C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C72  Noncooperative Games 
Item ID:  27970 
Depositing User:  Elemer Elad Rosinger 
Date Deposited:  09. Jan 2011 19:34 
Last Modified:  27. May 2015 12:40 
References:  Arrow, Kenneth J [1] : A difficulty in the concept of social welfare. Journal of Political Economy, 58, 4 (1950) Arrow, Kenneth J [2] : Social Choice and Individual Values, 2nd ed. Wiley, New York, 1963 Axelrod, R : The Evolution of Cooperation. New York, Basic Books, 1984 Binmore, Kenneth [1] : Modelling rational players. Part I. Economics and Philosophy, 3 (1987) 179214 Binmore, Kenneth [2] : Modelling rational players. Part II. Economics and Philosophy, 4 (1988) 955 Binmore, Kenneth [3] : Game theory and the social contract : Mark II (manuscript 1988) London School of Economics Blau, Julian : The existence of social choice functions. Econometrica, 25, 2 (1957) 302313 Hargreaves, Shaun P, et. al. : Game Theory, A Critical Intorduction. Routledge, London, 1995 Harsanyi, J C : Approaches to the bargaining problem before and after the theory of games : a critical discussion of Zeuthen's, Hick's, and Nash's theories. Econometrica, 24 (1956), 144157 Luce, R Duncan \& Raiffa, Howard : Games and Decisions, Introduction and Critical Survey. Wiley, New York, 1957, or Dover, New York, 1989 McKinsey, J C C : Introduction to the Theory of Games. McGrawHill, New York, 1952 Mirkin, Boris G : Group Choice. Wiley, New York, 1979 Nasar, Silvia : A Beautiful Mind. Faber and Faber, London, 1998 Nash, John F [1] : Equilibrium points in nperson games. Proc. Nat. Acad. Sci. USA, 38 (1950), 4849 Nash, John F [2] : The bargaining problem. Econometrica, 18 (1950) 155162 Nash, John F [3] : Noncooperative games. Ann. Math., 54 (1951) 286295 Nash, John F [4] : Twoperson cooperative games. Econometrica, 21 (1953) 128140 von Neumann, John : Zur Theorie der Gesellschaftsspiele. Math. Annalen, 100 (1928) 295320 von Neuman, John \& Morgenstern, Oskar : Theory of Games and Economic Behavior. Princeton, 1944 Owen, Guillermo : Game Theory. Saunders, Philadelphia, 1968 Rasmusen, Eric : Games and Information. Balckwell, Malden, 2002 Rosinger, Elemer E [1] : Interactive algorithm for multiobjective optimization. JOTA, 35, 3 (1981) 339365 Rosinger, Elemer E [2] : Errata Corrige : Interactive algorithm for multiobjective optimization. JOTA, 38, 1 (1982) 147148 Rosinger, Elemer E [3] : Aids for decision making with conflicting objectives. In Serafini, P (Ed.), Mathematics of Multiobjective Optimization. Springer, New York, 1985, 275315 Rosinger, Elemer E [4] : Beyond preference information based multiple criteria decision making. European Journal of Operational Research, 53 (1991) 217227 Rosinger, Elemer E [5] : Reconsidering conflict and cooperation. arXiv:math.OC/0405065 Rosinger, Elemer E [6] : PIIPTI, or the Principle of Increasing \\ Irrelevance of Preference Type Information. \\ arXiv:math.OC/0506619 Tucker, Albert W : A two person dilemma. (unpublished) Stanford University mimeos, May 1950. Vorob'ev, N N : Game Theory, Lectures for Economists and Systems Scientists. Springer, New York, 1978 Walker, Paul : An outline of the history of game theory. (http://williamking.www.drexel.edu/top/class/histf.html) Zeuthen, F : Problems of Monopoly and Economic Warfare. Routledge, London, 1930 
URI:  http://mpra.ub.unimuenchen.de/id/eprint/27970 