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

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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 Feb 2017 13:24 
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:  https://mpra.ub.unimuenchen.de/id/eprint/27970 