Bankruptcy games

Curiel, Imma; Maschler, Michael; Tijs, S.H.

doi:10.1007/bf02109593

Cited by 175 publications

(202 citation statements)

References 5 publications

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“…Aumann and Maschler (1985)), and the adjusted proportional rule (cf. Curiel et al (1988)) coincide. Thomson (2003) refers to this basic or standard rule for a two-claimant setting as concede-and-divide.…”

Section: Introductionmentioning

confidence: 88%

Random conjugates of bankruptcy rules

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Borm

2010

Soc Choice Welf

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This article introduces and analyzes random conjugates of bankruptcy rules. A random conjugate is a rule which is derived from the definition of the underlying rule for two-claimant problems. For example, the random conjugate of the Aumann-Maschler rule yields an extension of concede-and-divide: the basic solution for bankruptcy problems with two claimants. Using the concept of random conjugates an alternative characterization of the proportional rule is provided. It turns out that the procedural definition of a random conjugate extends several of the properties of the underlying rule for two-claimant problems to the general domain of problems with an arbitrary number of claimants.

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Section: Introductionmentioning

confidence: 88%

Random conjugates of bankruptcy rules

Quant

Borm

2010

Soc Choice Welf

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“…Resource monotonicity (Curiel et al 1987;Young 1987) demands that if the endowment increases, then all individuals should get at least what they received initially. Note that, no rule violating this property has been proposed in claims problems literature.…”

Section: Propertiesmentioning

confidence: 99%

Mediation in claims problems

Giménez-Gómez

Peris

2014

SERIEs

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Mediation is a dispute resolution process whereby agents reach a mutually acceptable agreement among different proposals that satisfy a set of principles. This paper provides a natural way of coming to such agreements in claims problems. In our approach, mediation combines (i) a set of fair properties (legitimate principles); and (ii) a criterion for delimiting the admissible manners of distributing the endowment, that is determined by the mediator expressing the two (dual) points of view to face such problems: awards and losses. These dual views define a lower and an upper bounds on awards, which are used to implement the so-called Double Recursive Process. We find that this process concludes at the midpoint between the two dual points of view. Finally, we argue that the criterion of the mediator could be established throughout Lorenz domination. In so doing, we retrieve the average of old and well-known rules.

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“…We also notice that each situation is modeled by using bankruptcy games. We know that each bankruptcy game is convex see Curiel et al 5 , and for each convex game the Shapley value and the Alexia value are equal see Tijs et al 3 . Finally, we notice that the iterative solutions of the three ancient problems by using the Alexia value are straightforward by following the procedure given by Guiasu 1 .…”

Section: Solution Of the Bankruptcy Situations From The Talmudmentioning

confidence: 99%