Every real algebraic variety is isomorphic to the set of totally mixed Nash equilibria of some three-person game, and also to the set of totally mixed Nash equilibria of an N-person game in which each player has two pure strategies. From the Nash-Tognoli Theorem it follows that every compact differentiable manifold can be encoded as the set of totally mixed Nash equilibria of some game. Moreove...

We consider the problem of fairly allocating a social endowment of indivisible goods and money when the domain of admissible preferences contains, but is not restricted to, quasi-linear preferences. We analyze the manipulability of the Generalized Money Rawlsian Fair (GMRF) solutions [Alkan A., Demange G., Gale D., 1991. Fair allocation of indivisible goods and criteria of justice. Econometrica...

In the past two decades, data-driven modeling has become a popular approach for different tasks. This paper presents an evaluation of performance five widely used approaches (i.e., generalized linear model, lasso regression, support vector machine, neural networks, and random forest) Etobicoke Creek watershed in Ontario, Canada. The models are built with eleven years meteorological hydrometric ...

This paper considers the numerical solution of linear generalized Nash equilibrium problems. Since many methods for nonlinear problems require the nonsingularity of some second order derivative, standard convergence conditions are not satisfied in our linear case. We provide new convergence criteria for a potential reduction algorithm that allow its application to linear generalized Nash equili...

The construction of bridges and other structures across the river will affect flood discharge capacity local water potential river.Based on navier-Stokes equation MIKE21FM hydrodynamic module, this paper carries out two-dimensional numerical simulation part Shixi River. By optimizing grid near piers to reduce difference brought by terrain generalized real river, it simulates analyzes length cur...

Abstract Some hydraulic structures and phenomena, including compound channels, must be studied in relation to open channel flow. Despite the fact that primary watersheds share a similar degree of roughness, estimating discharge composite channels with mainstreams flood plains has proved tricky. The flow for different roughness plain been studied, results computed experimentally using horizontal...