Consider a network vulnerable to security attacks and equipped with defense mechanisms. How much is the loss in the provided security guarantees due to the selfish nature of attacks and defenses? The Price of Defense was recently introduced in [7] as a worst-case measure, over all associated Nash equilibria, of this loss. In the particular strategic game considered in [7], there are two classes...

We consider the well-analyzed abatement game (Barrett 1994) and prove that correlation among the players (nations) can strictly improve upon the Nash equilibrium payoffs. As these games are potential games, correlated equilibrium — CE — (Aumann 1974, 1987) cannot improve upon Nash; however we prove that coarse correlated equilibria — CCE — (Moulin and Vial 1978) may do so. We compute the larges...

The theory of quantum games permits players to choose strategies that prepare and measure quantum states. Whereas conventional game theory provides guarantees for fixed-point stability in non-cooperative games, so-called Nash equilibria, we find this guarantee is not provided for quantum games. In particular, we show the conditions for Glickberg’s fixed-point theorem do not apply to pure quantu...

duopoly game theory is applied to the wood industrial markets (sawnwood and pulpwood markets) in the north of iran. the nash equilibrium and the dynamic properties of the system based on marginal adjustments are determined. the probability that the nash equilibrium will be reached is almost zero. the dynamical properties of sawnwood and pulpwood prices derived via the duopoly game model are fou...

In Nash bargaining problem, due to fairness concern of players, instead of maximizing the sum of utilities of all players, an implementable solution should satisfy some axioms or characterizations. Such a solution can result in the so-called price of fairness, because of the reduction in the sum of utilities of all players. An important issue is to quantify the system efficiency loss under axio...

Associated with each component of the Nash equilibria of a game are its index and degree. Its index is the local degree of the displacement map whose roots are the Nash equilibria of the game. Its degree is the local degree of the projection map from the Nash graph to the space of games. We show that the index and the degree of each component are the same. Further, they are invariant to adding ...

PURPOSE Calcium oxalate urolithiasis is one of the most common urinary tract diseases and is of high prevalence. The present study proposes to evaluate the antilithiatic property of hydrogen sulfide and its metabolites like thiosulfate & sulfate in an in vitro model. MATERIALS AND METHODS The antilithiatic activity of sodium hydrogen sulfide (NaSH), sodium thiosulfate (Na(2)S(2)O(3)) and sodi...

background: nonalcoholic steatohepatitis (nash) is part of a broad spectrum of nonalcoholic fatty liver diseases that can lead to cirrhosis. to date, there is no effective medical treatment for nash. we aim to compare the effect of aerobic exercise in conjunction with diet to diet alone on the improvement of metabolic syndrome and insulin resistance in patients with nash. materials and methods:...