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-stable set, a core-like concept, is nonempty and can be approached through an algorithm. The usual core may be empty. The setwise … parallels the standard theory of stability for many-to-one, and one-to-one, models. We provide results for a number of core …
Persistent link: https://www.econbiz.de/10011703024
Farsighted formulations of coalitional formation, for instance by Harsanyi (1974) and Ray and Vohra (2015), have typically been based on the von Neumann-Morgenstern (1944) stable set. These farsighted stable sets use a notion of indirect dominance in which an outcome can be dominated by a chain...
Persistent link: https://www.econbiz.de/10012159046
sets: a set of matchings is a vNM farsightedly stable set if and only if it is a singleton subset of the core. Thus … cannot include matchings that are not in the core. Moreover, we show that our main result is robust to many-to-one matching … set and its element is in the strong core. …
Persistent link: https://www.econbiz.de/10011691082
The value is a solution concept for n-person strategic games, developed by Nash, Shapley, and Harsanyi. The value of a game is an a priori evaluation of the economic worth of the position of each player, reflecting the players' strategic possibilities, including their ability to make threats...
Persistent link: https://www.econbiz.de/10012806287
problem, termed the multi-core, wherein an agent consents to participate in the grand coalition if she can envision a … cooperating with the grand coalition rather than operating alone. An allocation is in the multi-core if all agents consent to … participate in the grand coalition. We provide a theorem characterizing the non-emptiness of the multi-core and show that the …
Persistent link: https://www.econbiz.de/10011671885
We prove the existence of a pure-strategy trembling-hand perfect equilibrium in upper semicontinuous potential games, and we show that generic potential games possess pure-strategy strictly perfect and essential equilibria. We also establish a more powerful result: the set of maximizers of an...
Persistent link: https://www.econbiz.de/10011674216
general conditions. They imply that any efficient profile that is approximately achievable must be in the core of the …) an efficient profile can be approximately achieved if and only if it is in the core; and (iii) any achievable profile can …
Persistent link: https://www.econbiz.de/10011686703
When goods are substitutes, the Vickrey outcome is in the core and yields competitive seller revenue. In contrast, with … complements, the Vickrey outcome is efficient but not necessarily in the core and revenue can be low. Non-core outcomes may be … perceived as unfair since there are bidders willing to pay more than the winners' payments. Moreover, non-core outcomes render …
Persistent link: https://www.econbiz.de/10011673080
induce hedonic games that admit core-stability. …
Persistent link: https://www.econbiz.de/10011937226
a new hybrid solution concept, the free-riding-proof core (FRP-Core), which endogenously determines a contribution group …, public goods provision level, and how to share the provision costs. The FRP-Core is always nonempty in public goods economies … but does not usually achieve global efficiency. The FRP-Core has support from both cooperative and noncooperative games …
Persistent link: https://www.econbiz.de/10011694996