We introduce ideas and methods from distribution theory into value theory. This new approach enables us to construct new diagonal formulas for the Mertens value (Int J Game Theory 17:1–65, <CitationRef CitationID="CR5">1988</CitationRef>) and the Neyman value (Isr J Math 124:1–27, <CitationRef CitationID="CR6">2001</CitationRef>) on a large space of non-differentiable games....</citationref></citationref>

We show that a mixed equilibrium of a semi-anonymous nonatomic game can be used to generate pure-strategy profiles for finite games randomly generated from the type distribution of the nonatomic game. As the numbers of players involved in the finite games increase, the generated profiles will be...

We consider a game, called newsvendor game, where several retailers, who face a random demand, can pool their resources and build a centralized inventory that stocks a single item on their behalf. Profits have to be allocated in a way that is advantageous to all the retailers. A game in...

We discuss linear production games or market games with a continuum of players which are represented as minima of finitely many nonatomic measures.<p>Within this context we consider vNM-Stable Sets according to von Neumann and Morgenstern. We classify or characterize all solutions of this type...</p>

We consider congestion games on networks with nonatomic users and user-specific costs. We are interested in the uniqueness property defined by Milchtaich (2005) as the uniqueness of equilibrium flows for all assignments of strictly increasing cost functions. He settled the case with two-terminal...

Many economic environments exhibit payoff discontinuity and indeterminacy, particularly those involving factors that are not under the deliberate control of players, such as prejudicial bias and trust. Simon and Zame (1990) introduce the concept of sharing rules as a means for endogenously...

Location Based Services (LBS) expose user data to malicious attacks. Approaches, evolved, so far, for preserving privacy and security, suffer from one or more anomalies, and hence the problem of securing LBS data is far from being resolved. In particular, accuracy of results vs. privacy degree,...

Social networks like Facebook, Twitter, Pinterest etc. provide data of its users to the demanding organizations to better comprehend the quality of their potential clients. Publishing confidential data of social network users in its raw form raises several privacy and security concerns....