In this paper, we propose a new extension of the run-to-the-bank rule for bankruptcy situations to the class of multi-issue allocation situations. We show that this rule always yields a core element and that it satisfies self-duality. We characterise our rule by means of a new consistency...

This paper introduces the class of 2 × 2 × 2 trimatrix games with identical anonymous best-replies. For this class a complete classification on the basis of the Nash equilibrium set is provided.

In this paper, we characterise the compromise value of a game as the barycentre of the edges of its core cover. For this, we introduce the τ* value, which extends the adjusted proportional rule for bankruptcy situations and coincides with the compromise value on a large class of games....

This paper deals with interactive multiple fund investment situations, in which investors can invest their capital in a number of funds. The investors, however, face some restrictions. In particular, the investment opportunities of an investor depend on the behaviour of the other investors....

In this paper, we characterise the compromise value of a game as the barycentre of the edges of its core cover. For this, we introduce the τ* value, which extends the adjusted proportional rule for bankruptcy situations and coincides with the compromise value on a large class of games....

This note introduces a new monotonicity property for sequencing situations. A sequencing rule is called drop out monotonic if no player will be worse off whenever one of the players decides to drop out of the queue before processing starts. This intuitively appealing property turns out to be...

In this paper we provide a characterization of the set of fall back equilibria for $$2 \times n$$ bimatrix games. Furthermore, for this type of games we discuss the relation between the set of fall back equilibria and the sets of perfect, proper and strictly perfect equilibria. In order to do...

This note introduces a new monotonicity property for sequencing situations. A sequencing rule is called drop out monotonic if no player will be worse off whenever one of the players decides to drop out of the queue before processing starts. This intuitively appealing property turns out to be...

In this paper we provide a characterization of the set of fall back equilibria for <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$$2 \times n$$</EquationSource> </InlineEquation> bimatrix games. Furthermore, for this type of games we discuss the relation between the set of fall back equilibria and the sets of perfect, proper and strictly perfect equilibria. In order to do...</equationsource></inlineequation>