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We define a duality of solutions in coalitional games that we call a twisted duality. This twisted duality extends the rule of self-duality in bankruptcy problems. After showing that the prekernel and prenucleolus exhibit twisted duality, we define a twisted reduced game property and...
Persistent link: https://www.econbiz.de/10005081038
This survey deals with two-sided matching markets where one set of agents (workers/residents) has to be matched with another set of agents (firms/hospitals). We first give a short overview of a selection of classical results. Then, we review recent contributions to a complex and representative...
Persistent link: https://www.econbiz.de/10011011309
formation games. We propose a stability concept for a coalition structure, called sequentially stability, when only bilateral … sequential stability of the grand coalition structure as well as sufficient conditions for which the efficient grand coalition …
Persistent link: https://www.econbiz.de/10010765576
the various concepts of coalitional stability, such as internal and external stability and far-sighted stability in the …
Persistent link: https://www.econbiz.de/10010883245
producers adopt one of the two alternate production and marketing technologies — efficient and inefficient. We examine stability … equilibrium coalition forms, and (iii) stability of coalitions. They highlight the dynamics between the number of coalition …, and the coalition stability related conditions need not imply better profitability for one type of producer vis-à-vis the …
Persistent link: https://www.econbiz.de/10011279154
We study employment by lotto (Aldershof et al., 1999), a procedurally fair matching algorithm for the so-called stable marriage problem. We complement Aldershof et al.'s (1999) analysis in two ways. First, we give an alternative and intuitive description of employment by lotto in terms of a...
Persistent link: https://www.econbiz.de/10008493092
This paper investigates a class of dynamic selection processes for n-person normal-form games which includes the Brown-von Neumann-Nash dynamics. For (two-person) zero-sum games and for (n-person) potential games every limit set of these dynamics is a subset of the set of Nash-equilibria....
Persistent link: https://www.econbiz.de/10005081052
quality of a coalition structure is evaluated according to its stability. We review various definitions of stability and … restrictions of preferences ensuring the existence of a partition stable with respect to a particular stability definition. Further …
Persistent link: https://www.econbiz.de/10005081059
In the paper two-person nonzero-sum semi-infinite games with bounded payoffs are studied — both with countable and uncountable infinite strategy space. Under some concavity/convexity assumptions they are shown to possess ε-equilibria (equilibria) in strategies with supports consisting of at...
Persistent link: https://www.econbiz.de/10011011308
Considered here is direct exchange of production allowances or input factors. Motivated by practical modeling and compution, we suppose every owner or user of such items has a linear technology. The issue is whether competitive market equilibrium can be reached merely via iterated bilateral...
Persistent link: https://www.econbiz.de/10011011310