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 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...

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...

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...

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>