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We consider a communications network in which users transmit beneficial information to each other at a cost. We pinpoint conditions under which the induced cooperative game is supermodular (convex). Our analysis is in a lattice-theoretic framework, which is at once simple and able to encompass a...
Persistent link: https://www.econbiz.de/10012779071
We revisit games in partition function form, i.e. cooperative games where the payoff of a coalition depends on the … partition of the entire set of players. We assume that each coalition computes its worth having probabilistic beliefs over the …
Persistent link: https://www.econbiz.de/10012899601
In this survey we review some of the main contributions to the cooperative approach of newsvendor situations. We show how newsvendor situations with several retailers can be modeled as a transferable-utility cooperative game and we concentrate on one solution concept: the core. First we examine...
Persistent link: https://www.econbiz.de/10013008230
We study the efficient computation of power indices for weighted voting games with precoalitions amongst subsets of players (reflecting, e.g., ideological proximity) using the paradigm of dynamic programming. Starting from the state-of-the-art algorithms for computing the Banzhaf and...
Persistent link: https://www.econbiz.de/10013171847
any coalition S ⊆ N, such that the sum of the worth of the coalition S and the worth of its complementary coalition N\S is … α times of the worth of the grand coalition. This class contains the constant-sum games of Khmelnitskaya (2003, [3 …
Persistent link: https://www.econbiz.de/10011987594
A situation in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility, or simply a TU-game. A solution for TU-games assigns a set of payoff vectors to every TU-game. Some solutions that are based on distributing...
Persistent link: https://www.econbiz.de/10011350374
In a liability problem, the asset value of an insolvent firm must be distributed among the creditors and the firm itself, when the firm has some freedom in negotiating with the creditors. We model the negotiations using cooperative game theory and analyze the Shapley value to resolve such...
Persistent link: https://www.econbiz.de/10012210861
Agents participating in different kind of organizations, usually take different positions in some network structure. Two well-known network structures are hierarchies and communication networks. We give an overview of the most common models of communication and hierarchy restrictions in...
Persistent link: https://www.econbiz.de/10012434059
both cases, the hierarchy can be represented by a directed graph which restricts the possibilities of coalition formation …
Persistent link: https://www.econbiz.de/10012863314
members of each coalition through some joint course of action. The players confront the problem of choosing a payoff or …
Persistent link: https://www.econbiz.de/10014024490