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Set-weighted games and their application to the cover problem

Gusev, Vasily - 2021

The cover of a transport, social, or communication network is a computationally complex problem. To deal with it, this paper introduces a special class of simple games in which the set of minimal winning coalitions coincides with the set of least covers. A distinctive feature of such a game is...

Persistent link: https://www.econbiz.de/10013221999

Kantian Optimization : An Approach to Cooperative Behavior

Roemer, John E. - 2013

species, the reigning assumption in economic theory is that individuals optimize in an autarkic manner (as in Nash and …

Persistent link: https://www.econbiz.de/10013073896

Measuring the power of nodes in digraphs

Herings, Peter Jean-Jacques; Laan, Gerard van der; … - 2001

Many economic and social situations can be represented by a digraph. Both axiomatic and iterativemethods to determine the strength or power of all the nodes in a digraph have been proposed inthe literature. We propose a new method, where the power of a node is determined by both thenumber of its...

Persistent link: https://www.econbiz.de/10011318587

Convex Covers of Symmetric Games

Rulnick, John M.; Shapley, Lloyd S. - 1998

We consider a multi-player, cooperative, transferable-utility, symmetric game (N,v) and associated convex covers, i.e., convex games (N,w) such that w is greater than or equal to v. A convex cover w is efficient iff w(0) equals v(0) and w(N) equals v(N); and minimal iff there is no convex cover...

Persistent link: https://www.econbiz.de/10014064635

Common Mistakes in Computing the Nucleolus

Guajardo, Mario; Jörnsten, Kurt O. - 2014

Despite linear programming and duality have correctly been incorporated in algorithms to compute the nucleolus, we have found mistakes in how these have been used in a broad range of applications. Overlooking the fact that a linear program can have multiple optimal solutions and neglecting the...

Persistent link: https://www.econbiz.de/10014037353

Computing the Nucleolus of Min-Cost Spanning Tree Games is Np-Hard

Faigle, Ulrich; Kern, Walter; Kuipers, Jeroen - 1998

Persistent link: https://www.econbiz.de/10014208679

Kantian Optimization With Quasi-hyperbolic Discounting

Borissov, Kirill; Pakhnin, Mikhail; Wendner, Ronald - 2022

We consider a neoclassical growth model with quasi-hyperbolic discounting under Kantian optimization: each temporal self acts in a way that they would like every future self to act. We introduce the notion of a Kantian policy as an outcome of Kantian optimization in a given class of policies. We...

Persistent link: https://www.econbiz.de/10014082673

Chapter 11. Computing All Solutions to Polynomial Equations in Economics

Kubler, Felix; Renner, Philipp; Schmedders, Karl - In: Handbook of computational economics : volume 3, (pp. 599-652). 2014

Multiplicity of equilibria is a common problem in many economic models. In general, it is impossible to devise methods that always find all equilibria for any type of model. A notable exception are models in which all equilibria are solutions to a system of polynomial equations since there are...

Persistent link: https://www.econbiz.de/10014025711

Directional Monotone Comparative Statics

Barthel, Anne-Christine - 2019

same flavor as their counterparts in the standard theory, showing new connections to the standard theory. The results are … highlighted by several applications in consumer theory, producer theory and game theory. These applications were previously … outside the scope of the standard theory of monotone comparative statics …

Persistent link: https://www.econbiz.de/10012894110

A risk based approach to the principal-agent problem

Djehiche, Boualem; Helgesson, Peter - In: Asian journal of economics and banking : AJEB 8 (2024) 3, pp. 310-334

Purpose: We aim to generalize the continuous-time principal-agent problem to incorporate time-inconsistent utility functions, such as those of mean-variance type, which are prevalent in risk management and finance. Design/methodology/approach: We use recent advancements of the Pontryagin maximum...

Persistent link: https://www.econbiz.de/10015163486