The effects of a pharmacological blockade of the mu opiate receptors on the manifestation of tonic-clonic seizures were investigated in freely moving animals. 4-aminopyridine, a specific blocker of the neuronal K+ channels was used to produce generalized convulsions. After pretreatment of adult rats with 1 mg/kg naltrexone HCl, 3, 5, 7, 9, 14 mg/kg 4-aminopyridine was injected intraperitoneally, and the latencies of the symptoms generated by 4-aminopyridine were measured. Naltrexone HCl decreased these latencies and enhanced the seizures significantly. The experiments provided further evidence for the existence of a tonic anticonvulsant opioid system in the brain.
Most of the known e cient algorithms designed to compute the nucleolus for special classes of balanced games are based on two facts: (i) in any balanced game, the coalitions which actually determine the nucleolus are essential; and (ii) all essential coalitions in any of the games in the class belong to a prespeci ed collection of size polynomial in the number of players.We consider a subclass of essential coalitions, called strongly essential coalitions, and show that in any game, the collection of strongly essential coalitions contains all the coalitions which actually determine the core, and in case the core is not empty, the nucleolus and the kernelcore.As an application, we consider peer group games, and show that they admit at most 2n − 1 strongly essential coalitions, whereas the number of essential coalitions could be as much as 2 n−1 . We propose an algorithm that computes the nucleolus of an n-player peer group game in O(n 2 ) time directly from the data of the underlying peer group situation. JEL classi cation: C71
Assignment games satisfy the CoMa propertyHamers, Herbert; Klijn, F.; Solymosi, T.; Tijs, S.H.; Pere Villar, J.
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We provide a new modus operandi for the computation of the nucleolus in cooperative games with transferable utility. Using the concept of dual game we extend the theory of characterization sets. Dually essential and if the game is monotonic dually saturated coalitions determine both the core and the nucleolus whenever the core is non-empty. We show how these two sets are related to the existing characterization sets. In particular we prove that if the grand coalition is vital then the intersection of essential and dually essential coalitions forms a characterization set itself.
In this paper we introduce the B-prenucleolus for a transferable utility game (N, v), where B ⊆ 2 N . The B-prenucleolus is a straightforward generalization of the ordinary prenucleolus, where only the coalitions in B determine the outcome. We impose a combinatorial structure on the collection B which enables us to compute the B-prenucleolus in O(n 3 |B|) time. The algorithm can be used for computing the nucleolus of several classes of games, among which is the class of minimum cost spanning tree games.
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