17 citations · 28 across the 11 of their papers we have counts for
11 papers
Polynomial representation of TU-games
Ulrich Faigle, Michel Grabisch
We propose in this paper a polynomial representation of TU-games, fuzzy measures, capacities, and more generally set functions. Our representation needs a countably infinite set of…
Bell's Inequality and Heisenberg Measurements on Relativistic Quantum Systems
Ulrich Faigle
Bell's inequality plays an important role with respect to the Einsteinian question about the physical reality of quantum theory. While Bell's inequality is usually viewed within th…
Mathematical Game Theory: A New Approach
Ulrich Faigle
These lecture notes attempt a mathematical treatment of game theory akin to mathematical physics. A game instance is defined as a sequence of states of an underlying system. This v…
Game Theoretic Interaction and Decision: A Quantum Analysis
Ulrich Faigle, Michel Grabisch
An interaction system has a finite set of agents that interact pairwise, depending on the current state of the system. Symmetric decomposition of the matrix of interaction coeffici…
Markovian Statistics on Evolving Systems
Ulrich Faigle, Gerhard Gierz
A novel framework for the analysis of observation statistics on time discrete linear evolutions in Banach space is presented. The model differs from traditional models for stochast…
Least Square Approximations and Linear Values of Cooperative Games
Ulrich Faigle, Michel Grabisch
Many important values for cooperative games are known to arise from least square optimization problems. The present investigation develops an optimization framework to explain and…