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graphs. Many generalizations are proposed and applied. This work explores the impact of graph topology on the outcome of the … threshold protocol game and consequently considers finite graphs. By exploiting the well-known topologies of complete and … complete bipartite graphs, the outcome of the threshold protocol game can be fully characterized on these graphs. These …
Persistent link: https://www.econbiz.de/10015271462
Two sellers engage in price competition to attract buyers located on a network. The value of the good of either seller to any buyer depends on the number of neighbors on the network who consume the same good. For a generic specification of consumption externalities, we show that an equilibrium...
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We study the stability properties of organizations in partition function games, describing cooperative situations with externalities. An organization is defined as a group of agents, together with a set of bilateral relations, formally, a connected graph. Because of the presence of...
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A refinement of the set of Nash equilibria that satisfies two assumptions is shown to select a subset that is stable in the sense defined by Kohlberg and Mertens. One assumption requires that a selected set is invariant to adjoining redundant strategies and the other is a strong version of...
Persistent link: https://www.econbiz.de/10011599369
A refinement of the set of Nash equilibria that satisfies two assumptions is shown to select a subset that is stable in the sense defined by Kohlberg and Mertens. One assumption requires that a selected set is invariant to adjoining redundant strategies and the other is a strong version of...
Persistent link: https://www.econbiz.de/10005515738
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This chapter of the Handbook of Game Theory (Vol. 3) provides an overview of the theory of Nash equilibrium and its refinements. The starting-point is the rationalistic approach to games and the question whether there exists a convincing, self-enforcing theory of rational behavior in...
Persistent link: https://www.econbiz.de/10014024504