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We introduce the class of Obligation rules for minimum cost spanning tree situations.The main result of this paper is that such rules are cost monotonic and induce also population monotonic allocation schemes.Another characteristic of Obligation rules is that they assign to a minimum cost...
Persistent link: https://www.econbiz.de/10011090299
A new way is presented to define for minimum cost spanning tree (mcst-) games the irreducible core, which is introduced by Bird in 1976.The Bird core correspondence turns out to have interesting monotonicity and additivity properties and each stable cost monotonic allocation rule for...
Persistent link: https://www.econbiz.de/10011091369
The special class of conservative charge systems for minimum cost spanning tree (mcst) situations is introduced.These conservative charge systems lead to single-valued rules for mcst situations, which can also be described with the aid of obligation functions and are, consequently, cost...
Persistent link: https://www.econbiz.de/10011092177
Persistent link: https://www.econbiz.de/10011090291
Directed minimum cost spanning tree problems of a special kind are studied,namely those which show up in considering the problem of connecting units (houses)in mountains with a purifier.For such problems an easy method is described to obtain a minimum cost spanning tree.The related cost sharing...
Persistent link: https://www.econbiz.de/10011091825
In this paper we present the Subtraction Algorithm that computes for every classical minimum cost spanning tree game a population monotonic allocation scheme.As a basis for this algorithm serves a decomposition theorem that shows that every minimum cost spanning tree game can be written as...
Persistent link: https://www.econbiz.de/10011092769
Under some weakenings of the condition of the well-known fixed point theorems of Brouwer, Kakutani and Banach the existence of approximate fixed points turns out to be still guaranteed. Also an approximate fixed point theorem is given for certain nonexpansive maps.
Persistent link: https://www.econbiz.de/10011090445
AMS classification: 91A12
Persistent link: https://www.econbiz.de/10011090477
In this paper reasonable payoff intervals for players in a game in partition function form (p.f.f.game) are introduced and used to define the notion of compromisable p.f.f. game.For a compromisable p.f.f. game a compromise value is defined for which an axiomatic characterization is provided.Also...
Persistent link: https://www.econbiz.de/10011090485
Market entry situations are modelled, where an entrepreneur has to decide for a collection of markets which market to enter and which not. The entrepreneur can improve his prior information by making use of a group of informants, each of them knowing the situation in one or more markets. For...
Persistent link: https://www.econbiz.de/10011090705