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Computing integral solutions of complementarity problems

Laan, Gerard van der; Talman, Dolf; Yang, Zaifu - 2004

In this paper an algorithm is proposed to find an integral solution of (nonlinear) complementarity problems. The … algorithm starts with a nonnegative integral point and generates a unique sequence of adjacent integral simplices of varying … dimension. Conditions are stated under which the algorithm terminates with a simplex one of whose vertices is an integral …

Persistent link: https://www.econbiz.de/10011343323

Computing Integral Solutions of Complementarity Problems

Laan, Gerard van der; Talman, Dolf; Yang, Zaifu - 2005

Persistent link: https://www.econbiz.de/10014028508

Perfection and stability of stationary points with applications to noncooperative games

Laan, Gerard van der; Talman, Dolf; Yang, Zaifu - 2002

It is well known that an upper semi-continuous compact- and convex-valued mapping fi from a nonempty compact and convex set X to the Euclidean space of which X is a subset has at least one stationary point, being a point in X at which the image fi(x) has a nonempty intersection with the normal...

Persistent link: https://www.econbiz.de/10011327822

On the (Non)-Lattice Structure of Equilibrium Sets in Games with Strategic Substitutes

Roy, Sunanda - 2020

This paper studies models where the optimal response functions under consideration are non-increasing in endogenous variables, and weakly increasing in exogenous parameters. Such models include games with strategic substitutes, and include cases where additionally, some variables may be...

Persistent link: https://www.econbiz.de/10012824357

Homotopy Methods to Compute Equilibria in Game Theory

Herings, P. Jean-Jacques - 2011

expositions of the Lemke-Howson algorithm and the Van den Elzen-Talman algorithm to compute Nash equilibria in 2-person games, and …

Persistent link: https://www.econbiz.de/10013124577

Instability of Equilibrium Price

Levando, Dmitry - 2018

We develop a theory of market instability caused by strategic trade with complete information and without outside shocks. We focus on general equilibrium duopoly as a strategic market game with infinite strategies, and a pricing mechanism. First order conditions of the game are the 1-st kind...

Persistent link: https://www.econbiz.de/10012930331

Natural Instability of Equilibrium Prices

Levando, Dmitry V. - 2018

Persistent link: https://www.econbiz.de/10012930548

On the solution of Markov-switching rational expectations models

Carravetta, Francesco; Sorge, Marco M. - 2011

This paper describes a method for solving a class of forward-looking Markov-switching Rational Expectations models under noisy measurement, by specifying the unobservable expectations component as a general-measurable function of the observable states of the system, to be determined optimally...

Persistent link: https://www.econbiz.de/10009126073

A characterization of melioration in game theoretic frameworks

Apesteguia, Jose - 2001

Persistent link: https://www.econbiz.de/10001642000

Attractive evolutionary equilibria

Roorda, B.; Joosten, Reinoud - 2011

We present attractiveness, a refinement criterion for evolutionary equilibria. Equilibria surviving this criterion are robust to small perturbations of the underlying payoff system or the dynamics at hand. Furthermore, certain attractive equilibria are equivalent to others for certain...

Persistent link: https://www.econbiz.de/10009409739