We explore the relationship between proportionality and manipulation (via merging or splitting agents' claims) in bankruptcy problems. We provide an alternative proof to the well-known result that, in an unrestricted domain, immunity to manipulation is equivalent to requiring proportional...

In this paper, we study the immunity of bankruptcy rules to manipulation via merging or splitting agents' claims. We focus on the TAL-family of bankruptcy rules (Moreno-Ternero & Villar, 2005), a one-parameter family encompassing three classical rules: the Talmud (T) rule, the constrained...

The pre-nucleolus is a popular egalitarian solution concept for cost-sharing games. A drawback of this concept is that an associated cost allocation often cannot be calculated in polynomial time. Therefore, it would be convenient to know whether the pre-nucleolus of a particular game coincides...

In this paper, we study the immunity of bankruptcy rules to manipulation via merging or splitting agents' claims. We focus on the TAL-family of bankruptcy rules (Moreno-Ternero & Villar, 2006), a one-parameter family encompassing three classical rules: the Talmud (T) rule, the constrained...

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The paper deals with standard mathematical models for nonlinear affine control systems with two (vector-valued) inputs u (=control) and w (unknown except for a bound for the sup-norm). Interpretation of this scenario and its wide range of applications (in control and differential game theory):...

Consider the cooperative coalition games with side payments. Bargaining sets are calculated for all possible coalition structures to obtain a collection of imputations rather than single imputation. Our aim is to obtain a single payoff vector, which is acceptable by all players of the game under...

In many share problems there is an a priori given a natural set of possible divisions to solve the sharing problem. Cooperative games related to such share sets are introduced, which may be helpful in solving share problems. Relations between properties of share sets and properties of games are...

Under dynamic cooperation a player may use 'irrational' acts to extort additional gains if later circumstances allow. In this article we present a condition under which even if irrational behaviors appear later in the game the concerned player would still be performing better under the...