The reason why Nash equilibrium is considered such an important concept of game theory relates to its applicability. The Nash equilibrium can be incorporated into a wide range of disciplines, fromeconomicsto social sciences. To quickly find the Nash equilibrium or see if it even exists, reveal ea...
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 ...
Effectively, one uses backward induction to find theNash equilibriumof each subgame of the original game.2 However, the results inferred from backward induction often fail to predict actual human play. Studies have attempted to explain why “rational” behavior (as predicted by game theory) is sel...
On series-parallel graphs a worst Nash equilibrium can be found by a Greedy approach while finding a best equilibrium is NP -hard. For a fixed number of users we give a pseudo-polynomial algorithm to find the best equilibrium in series-parallel networks. For general network topologies also ...
Related to Nash equilibrium:Dominant strategy,John Nash Category filter: AcronymDefinition NENebraska(US postal abbreviation) NENortheast(ern) NEAny NENew England NENew Edition NENetherlands NENational Education NENiue NENo Evidence(school grading system) ...
The same is true for Crispy. This is the standard conclusion of the Prisoner's Dilemma: the two characters will betray one another. Their strategy to unconditionally sacrifice their companion is what game theorists call the “Nash Equilibrium," ...
Four dual equilibria are then obtained when each agent selects one leading variable to optimize and adjusts the other, and these equilibria are compared in a meta-game. For a simplified class of continuous games with linear constraints, it is shown that one symmetric dual equilibrium dominates ...
4) We develop efficient algorithms for each player to find the best response in each game. All these algorithms are the poly-log time in the length of an initial search interval and the accuracy requirement. We also develop an iterative algorithm to find the Nash equilibrium of the games. ...
As you can see, we’ve married the BATNA for both parties to attempt to find the ZOPA. Anything outside the ZOPA falls in either the Seller’s or the Buyer’s BATNA (outside the “worst-case” on either side), kills the deal. ...
Economists find thatprices tend to fluctuate around the equilibrium levels. If the price rises too high, market forces will incentivize sellers to come in and produce more. If the price is too low, additional buyers will bid up the price. These activities keep the equilibrium level in relative...