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Chapter 14. The Complexity of Computing Equilibria
Papadimitriou, Christos - In: Handbook of game theory with economic applications : …, (pp. 779-810). 2015
develops the necessary background and formalism from the theory of algorithms and complexity developed in computer science, in …
Persistent link: https://www.econbiz.de/10014025445
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Finding all minimal CURB sets
Klimm, Max; Weibull, Jörgen W. - 2009
replies to all probabilistic beliefs over the set. We present an algorithm that computes all minimal sCURB sets in any given … finite game. Runtime measurements on two-player games (where the concepts of CURB and sCURB coincide) show that the algorithm … is considerably faster than the earlier developed algorithm, that of Benisch et al. (2006). -- curb sets ; rational …
Persistent link: https://www.econbiz.de/10003912049
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Universally Stable Adjustment Processes : A Unifying Approach
Herings, P. Jean-Jacques - 2000
Both in game theory and in general equilibrium theory there exists a number of universally stable adjustment processes …. In game theory these processes typically serve the role of selecting a Nash equilibrium. Examples are the tracing …
Persistent link: https://www.econbiz.de/10014160968
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On the (Non)-Lattice Structure of Equilibrium Sets in Games with Strategic Substitutes
Roy, Sunanda - 2020
This paper studies models where the optimal response functions under consideration are non-increasing in endogenous variables, and weakly increasing in exogenous parameters. Such models include games with strategic substitutes, and include cases where additionally, some variables may be...
Persistent link: https://www.econbiz.de/10012824357
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Spatial Oligopolies with Cooperative Distribution
Sandsmark, Maria - 2009
-Nash equilibria for this two-stage game with partial coalitional strategies are determined by means of a mathematical-based algorithm …
Persistent link: https://www.econbiz.de/10013155252
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Feedback Nash Equilibria for Linear Quadratic Descriptor Differential Games
Engwerda, Jacob C.; Salmah - 2010
In this note we consider the non-cooperative linear feedback Nash quadratic differential game with an infinite planning horizon for descriptor systems of index one. The performance function is assumed to be indefinite. We derive both necessary and sufficient conditions under which this game has...
Persistent link: https://www.econbiz.de/10014192996
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A logarithmic approximation for polymatroid congestion games
Harks, Tobias; Oosterwijk, Tim; Vredeveld, Tjark - In: Operations research letters 44 (2016) 6, pp. 712-717
Persistent link: https://www.econbiz.de/10011622215
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Algorithmic Cooperation
Kasberger, Bernhard; Martin, Simon; Normann, Hans-Theo; … - 2023
Algorithms play an increasingly important role in economic situations. Often these situations are strategic, where the artificial intelligence may or may not be cooperative. We study the determinants and forms of algorithmic cooperation in the infinitely repeated prisoner's dilemma. We run a...
Persistent link: https://www.econbiz.de/10014358527
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Equilibria with Coordination Failures
Herings, P. Jean-Jacques; van der Laan, Gerard; Talman, Dolf - 2005
This paper extends the recent literature on equilibria with coordination failures to arbitrary convex sets of admissible prices. We introduce a new equilibrium concept, called quantity constrained equilibrium (QCE), giving a unified treatment to all cases considered in the literature so far. At...
Persistent link: https://www.econbiz.de/10014068262
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The existence of security market equilibrium with a nonatomic state space
Mas-Colell, Andreu; Zame, William R. - 1992
Persistent link: https://www.econbiz.de/10000893820