additionally we establish NP -hardness in the strong sense for the problem of finding a worst Nash equilibrium on a general acyclic graph.doi:10.1007/s00186-009-0293-6Heike SperberSpringer-VerlagMathematical Methods of Operations ResearchH. Sperber. 2010. How to find Nash equilibria with extreme ...
As we have seen, a Nash equilibrium refers to a situation in which no player wants to switch to another strategy. However, this does not mean that there are not better outcomes. In practice, a lot of situations can be modeled as a game. When players act according to a Nash equilibrium ...
We study the complexity of finding extreme pure Nash equilibria in symmetric (unweighted) network congestion games. In our context best and worst equilibri... Sperber,Heike 被引量: 3发表: 2009年 How hard is it to approximate the best Nash equilibrium? The quest for a polynomial-time approximat...
内容提示: How Hard Is It to Find Extreme Nash Equilibriain Network Congestion Games?Elisabeth Gassner1,?, Johannes Hatzl1, Sven O. Krumke2, Heike Sperber2,??,and Gerhard J. Woeginger3,???1Graz University of Technology, Institute of Optimization and DiscreteMathematics, Steyrergasse 30, ...
If they are all negative values, the equilibrium point is ESS. We use Lyapunov Direct Method to find eight special equilibrium points of the new energy vehicle diffusion game system: E1 (0,0,0), E2 (1,0,0), E3 (0,1,0), E4 (0,0,1), E5 (1,1,0), E6 (1,0,1), E7 (0...
The Nash equilibria of the two-user game are found, and the relation between the pure-strategy and mixed-strategy Nash equilibria is discussed. As in ... Gajic,Rimoldi - IEEE International Symposium on Information Theory 被引量: 34发表: 2008年 A Game-Theoretic Approach to IP Address Random...
Explain the role of cooperation that may find its way into an oligopoly. Using economic theory, when does "cooperation" go "over the line" and become "collusion"? Cite some real-world examples of cooperation that have devolved to collusion. ...
Since E9(x',y',z') refers to a mixed strategy Nash equilibrium [61,62], we consider only the remaining E1(0,0,0), E2(0,0,1), E3(0,1,0), E4(0,1,1), E5(1,0,0), E6(1,0,1), E7(1,1,0) and E8(1,1,1) eight pure strategy equilibrium points. The Jacobian matrix...
There is one subgame perfect Nash equilibrium (SGPNE) in this game if c > b(n) − e(n, x) , meaning that average total benefits from cooperation don't exceed Nash equilibrium payoffs. In this case the agreement over internal authority is not achieved as a self-enforcing result of ...
(2011) with human subjects as consumers, what is common to all these works is their shared assumption of the fact that firms are competing to capture rational and fully informed consumers even when they document spatial behavior that departs from Nash equilibrium when it theoretically exists. The...