… Nash equilibrium (GNE) seeking algorithm is proposed for a class of constrained noncooperative
games with unknown cost functions. … cost function is constructed with the cost function …

… Specifically, we consider players with convex local cost functions, convex local constraints,
… possibly non-differentiable cost functions. We recast the Nash equilibrium seeking problem …

… Nash equilibrium seeking algorithm is proposed. This algorithm utilizes only the measurements
of the player’ local cost function … the convergence of the Nash equilibrium is studied for …

… In this section, we study the existence of a unique Nash equilibrium of prediction games
with cost functions as in Equation 1. We derive an algorithm that identifies the unique …

… Condition (15) assures that the supply quantity and the marginal production cost satisfy
the given marginal cost function, as long as a positive quantity is produced. This condition …

… mixed Nash equilibria are guaranteed to exist, their use is often unrealistic in practice. On
the other hand, our work reveals that for most classes of cost functions pure Nash equilibria as …

… costs, then Nash equilibria will not exist in many important cases under the latter strategies.)
It remains to specify a Nash equilibrium … that all firms have identical cost functions given by (1…

… the cost functions and on the parameters of the proposed scheme, under which we prove
almost sure convergence to a Nash equilibrium. … for adaptive learning of Nash equilibria; that is, …

… the "transportation cost function" at r = 1/2. The normalization does not affect the arguments,
but should be kept in mind when making comparisons of equilibrium prices across models. …

… existence of Nash equilibria for a large class of cost games … Secondly, we study the complexity
of these Nash equilibria … the cost functions of both players, we consider a price function …