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Classical, Modern, and New Garne Theory
Holler, Manfred J. - In: Journal of Economics and Statistics (Jahrbuecher fuer … 222 (2002) 5, pp. 556-583
This paper is a brief history of game theory with its main theme being the nature of the decision makers assumed in the … what many believe to be progress in game theory. The first stage, classical game theory, is defined by John von Neumann …'s and Oskar Morgenstern's pioneering book "Game Theory and Economic Behaviour" which introduced the concept of individual …
Persistent link: https://www.econbiz.de/10008633413
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Chaos in Learning a Simple Two Person Game
Sato, Yuzuru; Akiyama, Eizo; Farmer, J. Doyne - Santa Fe Institute - 2001
We investigate the problem of learning to play a generalized rock-paper-scissors game. Each player attempts to improve her average score by adjusting the frequency of the three possible responses. For the zero-sum case the learning process displays Hamiltonian chaos. The learning trajectory can...
Persistent link: https://www.econbiz.de/10005791038
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Nash equilibrium based fairness
Kameda, Hisao; Altman, Eitan; Touati, Corinne; Legrand, … - In: Mathematical Methods of Operations Research 76 (2012) 1, pp. 43-65
There are several approaches of sharing resources among users. There is a noncooperative approach wherein each user strives to maximize its own utility. The most common optimality notion is then the Nash equilibrium. Nash equilibria are generally Pareto inefficient. On the other hand, we...
Persistent link: https://www.econbiz.de/10010950200
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Nash equilibrium based fairness
Kameda, Hisao; Altman, Eitan; Touati, Corinne; Legrand, … - In: Computational Statistics 76 (2012) 1, pp. 43-65
There are several approaches of sharing resources among users. There is a noncooperative approach wherein each user strives to maximize its own utility. The most common optimality notion is then the Nash equilibrium. Nash equilibria are generally Pareto inefficient. On the other hand, we...
Persistent link: https://www.econbiz.de/10010759404
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Characterizations of the Existence of Nash Equilibria with Non-convex Strategy Sets
Nessah, Rabia; Kerstens, Kristiaan - IÉSEG School of Management, Université Catholique de Lille - 2008
A sufficient and necessary condition is presented for the existence of a Nash equilibrium in n-person noncooperative games in normal form where strategy sets are not necessarily convex. Under the convexity condition, we show that this new sufficient and necessary condition is a particular case...
Persistent link: https://www.econbiz.de/10008477287
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Counterterrorism
Daniel G. Arce M.; Sandler, Todd - In: Journal of Conflict Resolution 49 (2005) 2, pp. 183-200
This article establishes the prevalence of deterrence over preemption when targeted governments can choose between either policies or employ both. There is a similar proclivity to favor defensive counter-terrorist measures over proactive policies. Unfortunately, this predisposition results in an...
Persistent link: https://www.econbiz.de/10010801739
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Understanding Fixed Point Theorems
Arnold, Lutz G. - Wirtschaftswissenschaftliche Fakultät, Universität … - 2003
Fixed point theorems are the standard tool used to prove the existence of equilibria in mathematical economics. This paper shows how to prove a slight generalization of Brouwer's and Kakutani's fixed point theorems using the familiar techniques of drawing and shifting curves in the plane and is,...
Persistent link: https://www.econbiz.de/10005607526
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Pairwise epistemic conditions for Nash equilibrium
Bach, Christian W.; Tsakas, Elias - In: Games and Economic Behavior 85 (2014) C, pp. 48-59
by Barelli (2009). Surprisingly, our conditions do not require nor imply mutual belief in rationality. …
Persistent link: https://www.econbiz.de/10010906693
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¿Qué tan racional es el principio de racionalidad de Popper?
Salazar, Boris - In: Revista de Economía Institucional 3 (2001) July-December, pp. 52-77
emerging, in recent years, in the fields of rationality, learning, evolutionary games and behavioral economic theory. In …This paper shows the relevance of Popper's Rationality Principle (RP) for the appraisal of the impressive mass work …
Persistent link: https://www.econbiz.de/10005817056
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Evolution and Rationality: Some Recent Game-Theoretic Results
Banerjee, Abhijit; Weibull, Jörgen W. - Institutet för Näringslivsforskning (IFN) - 1992
No abstract.
Persistent link: https://www.econbiz.de/10010685046