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Solving Discrete Systems of Nonlinear Equations

van der Laan, Gerard; Talman, Dolf; Yang, Zaifu - 2009

the triangulation lies in a cube of size one. With respect to this triangulation we assume that the function satisfies … prove this we use a simplicial algorithm that terminates with a zero point within a finite number of iterations. The …

Persistent link: https://www.econbiz.de/10010325776

Solving Discrete Zero Point Problems

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

AbstractSee document.

Persistent link: https://www.econbiz.de/10010325312

Combinatorial Integer Labeling Theorems on Finite Sets with an Application to Discrete Systems of Nonlinear Equations

van der Laan, Gerard; Talman, Dolf; Yang, Zaifu - 2007

Tucker's well-known combinatorial lemma states that for any given symmetric triangulation of the n-dimensional unit … cube and for any integer labeling that assigns to each vertex of the triangulation a label from the set {1,2,...n,-1 …,-2,....-n} with the property that antipodal vertices on the boundary of the cube are assigned opposite labels, the triangulation …

Persistent link: https://www.econbiz.de/10010325373

Solving Discrete Zero Point Problems with Vector Labeling

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

proof using a combinatorial argument based on a simplicial algorithm with vector labeling and lexicographic linear … programming pivot steps. We also adept the algorithm to prove the existence of a solution to the discrete complementarity problem. …

Persistent link: https://www.econbiz.de/10010325314

Queueing systems with fractional number of servers

Naumov, Valeriy; Martikainen, Olli - 2012

In this paper we introduce multi-server queueing systems that can be considered as extensions of conventional M/M/s queue to fractional number of servers. We show that the extended Erlang's delay function can be used to calculate delay probabilities for such systems. This approach enables the...

Persistent link: https://www.econbiz.de/10010326877

Method for throughput maximization of multiclass networks with flexible servers

Naumov, Valeriy; Martikainen, Olli - 2011

In this paper, we study the throughput of multiclass networks featuring several types of flexible servers as well as general constraints both on the number of servers having the same skills and on the number of servers allowed at each station. Each job class is characterized by its processing...

Persistent link: https://www.econbiz.de/10010326896

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/10010293377

The refined best-response correspondence in normal form games

Balkenborg, Dieter; Hofbauer, Josef; Kuzmics, Christoph - 2012

This paper provides an in-depth study of the (most) refined best reply correspondence introduced by Balkenborg, Hofbauer, and Kuzmics (2012). An example demonstrates that this correspondence can be very different from the standard best reply correspondence. In two-player games, however, the...

Persistent link: https://www.econbiz.de/10010319972

Attractive evolutionary equilibria

Roorda, Berend; 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/10010286754

Integrating Bottom-Up into Top-Down: A Mixed Complementarity Approach

Böhringer, Christoph; Rutherford, Thomas F. - 2005

We motivate the formulation of market equilibria as a mixed complementarity problem (MCP) in order to bridge the gap between bottom-up energy system models and top-down general equilibrium models for energy policy analysis. Our objective is primarily pedagogic. We first lay out that the MCP...

Persistent link: https://www.econbiz.de/10010297453