In this note, we apply weighted hierarchical games of cooperative game theory to the problem of optimal firm size of the firm. In particular, we analyze the influence of production technology on the size of the firm. Our note enhances previous approaches using a permission structure with equally...

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...

In this note, we enhance the analysis done by Auer and Hiller (Int J Finance Econ 24(2):884–889, 2019; Manag Decis Econ 42(4):876–884, 2021). Whereas their articles uses several simulation settings to illustrate that cooperative game theory may have the potential to solve the low-risk puzzle, we...

In this note, we enhance the analysis done by Auer and Hiller (Int J Finance Econ 24(2):884–889, 2019; Manag Decis Econ 42(4):876–884, 2021). Whereas their articles uses several simulation settings to illustrate that cooperative game theory may have the potential to solve the low-risk puzzle, we...

The paper unveils the market structure of container shipping, which suffers by many interpretations. Existing models regress between contestability, duopoly, monopolistic competition and game theory. This paper proposes an oligopoly model with two groups of companies: oligopolists and...

In this paper, we use a partition function form game to analyze cartel formation among firms in Cournot competition. We assume that a firm obtains a certain cost advantage that allows it to produce goods at a lower unit cost. We show that if the level of the cost advantage is "moderate", then...

Individual contributions by infringing firms to the compensation of cartel victims must reflect their 'relative responsibility for the harm caused' according to EU legislation. Several studies have argued that the theoretically best way to operationalize this norm is to apply the Shapley value...

We consider a (pure) public goods provision problem with voluntary participation in a quasi-linear economy. We propose a new hybrid solution concept, the free-riding-proof core (FRP-Core), which endogenously determines a contribution group, public goods provision level, and how to share the...

Recently, Branzei, Dimitrov, and Tijs (2003) introduced cooperative interval-valued games. Among other insights, the notion of an interval core has been coined and proposed as a solution concept for interval-valued games. In this paper we will present a general mathematical programming algorithm...