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Jaegher, K. De; Kamphorst, J.J.A. - 2010

This paper characterizes the set of equilibrium networks in the two-way flow model of network formation with small …, this set contains large- as well as small-diameter networks. For all benefit functions, the periphery-sponsored star is the … most stable. When the marginal benefits of information are constant, all non-star networks are equally stable. With …

Persistent link: https://www.econbiz.de/10010325763

Exploitation and Cooperation in Networks

Galeotti, Andrea; Meléndez, Miguel - 2004

into account the potential externalities networks produce. Once social ties are in place, these externalities shape the … norms are easily sustained in symmetric networks. By contrast, when an efficient interaction requires players to play …

Persistent link: https://www.econbiz.de/10010325280

One-way Flow Networks: the Role of Heterogeneity

Galeotti, Andrea - 2004

I study a one-way flow connections model in which players are heterogeneous with respect to values and the costs of establishing a link. I first show that values and costs asymmetries are crucial in determining the level of connectedness of a network. Interestingly, unconnected equilibria are...

Persistent link: https://www.econbiz.de/10010325361

Perfection and Stability of Stationary Points with Applications to Noncooperative Games

van der Laan, Gerard; 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/10010324999

On Borel Probability Measures and Noncooperative Game Theory

Frenk, J.B.G.; Kassay, G.; Protassov, V. - 2002

In this paper the well-known minimax theorems of Wald, Ville and Von Neumann are generalized under weaker topological conditions on the payoff function f and/or extended to the larger set of the Borel probability measures instead of the set of mixed strategies.

Persistent link: https://www.econbiz.de/10010325066

Solving Discrete Zero Point Problems

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

AbstractSee document.

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

Solving Discrete Zero Point Problems with Vector Labeling

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

In this paper we present two general results on the existence of a discrete zero point of a function from the n-dimensional integer lattice Zn to the n-dimensional Euclidean space Rn. Under two different boundary conditions, we give a constructive proof using a combinatorial argument based on a...

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

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...

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

Computing Integral Solutions of Complementarity Problems

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

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...

Persistent link: https://www.econbiz.de/10010325585

Solving Discrete Systems of Nonlinear Equations

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

We study the existence problem of a zero point of a function defined on a finite set of elements of the integer lattice of the n-dimensional Euclidean space. It is assumed that the set is integrally convex, which implies that the convex hull of the set can be subdivided in simplices such that...

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

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