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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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On the relationship between the open-loop Nash equilibrium in LQ-games and the inertia of a matrix
Engwerda, Jacob; Weeren, A.J.T.M. - Tilburg University, School of Economics and Management - 1994
In this paper we consider the location of the eigenvalues of the composite matrix ( -A S1 S2 ) ( Q1 At 0 ) ( Q2 0 At ) , where the matrices Si and Qi are assumed to be semi-positive definite. Two interesting observations, which are not or only partially mentioned in literature before, challenge...
Persistent link: https://www.econbiz.de/10011087121
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The location model with two periods of price competition
Webers, H.M. - Tilburg University, School of Economics and Management - 1994
In this paper we characterize the subgame perfect Nash equilibria of a location-then-price game where firms first choose locations and after that compete for prices in two subsequent periods. Locations are thus seen as long term commitments. There are two types of consumers, each with different...
Persistent link: https://www.econbiz.de/10011087127
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Game Theory:A Nontechnical Introduction to the Analysis of Strategy
McCain, Roger A - World Scientific Publishing Co. Pte. Ltd.
The objective of the third edition of <i>Game Theory: A Nontechnical Introduction to the Analysis of Strategy</i> is to … introduce the ideas of game theory in a way that is approachable, intuitive, and interdisciplinary. Relying on the Karplus …</li> <li>Three-Person Games</li> <li>Probability and Game Theory</li> <li>Mixed Strategy Nash Equilibria</li> <li …
Persistent link: https://www.econbiz.de/10011156401
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J.-F. Mertens (1946-2012) : Des jeux répétés a l'analyse "coùt-bénéfice"
Forges, Françoise - Université Paris-Dauphine (Paris IX) - 2013
The article shows how Jean-Francois Mertens contributed to the development of game theory and microeconomics as we know …
Persistent link: https://www.econbiz.de/10011074149
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The Language of Game Theory:Putting Epistemics into the Mathematics of Games
Brandenburger, Adam - World Scientific Publishing Co. Pte. Ltd.
papers are part of a program to reconstruct game theory in order to make how players reason about a game a central feature of … the theory. The program — now called epistemic game theory — extends the classical definition of a game model to include … implications of how players reason for how a game is played. Epistemic game theory includes traditional equilibrium-based theory as …
Persistent link: https://www.econbiz.de/10011010976