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whether a natural definition of a tree can be given, where nodes are sets of states. We show that, indeed, trees can be …
Persistent link: https://www.econbiz.de/10005370761
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We consider an oligopolistic market game, in which the players are competing firms in the same market of a homogenous consumption good. The consumer side is represented by a fixed demand function. The firms decide how much to produce of a perishable consumption good, and they decide upon a...
Persistent link: https://www.econbiz.de/10004968232
This paper considers characterizations of perfect recall in extensive form games. It is shown that perfect recall can be expressed in terms of choices without any reference to infomation sets. When information sets are taken into account, it is decomposable into an ordering of information sets...
Persistent link: https://www.econbiz.de/10005598506
By a player splitting we mean a mechanism that distributes the information sets of a player among so-called agents. A player splitting is called independent if each path in the game tree contains at most one agent of every player. Following Mertens (1989), a solution is said to have the player...
Persistent link: https://www.econbiz.de/10005375578
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Perfect information games have a particularly simple structure of equilibria in the associated normal form. For generic such games each of the finitely many connected components of Nash equilibria is contractible. For every perfect information game there is a unique connected and contractible...
Persistent link: https://www.econbiz.de/10005155732
This paper considers characterizations of perfect recall in extensive form games. It is shown that perfect recall can be expressed entirely in terms of the choice partition without any reference to any information sets. When information sets are taken into account it is decomposable into an...
Persistent link: https://www.econbiz.de/10005085662
We construct a dynamic epistemic model for extensive form games, which generates a hierarchy of beliefs for each player over her opponents` strategies and beliefs, and tells us how those beliefs will be revised as the game proceeds. We use the model to analyze the implications of the assumption...
Persistent link: https://www.econbiz.de/10005051126
Black-Scholes formula and standard binomial trees can only accommodate one related European option which then effectively … specifies the volatility parameter. Implied binomial trees can accommodate only related European options with the same time …-to-expiration. The generalized binomial trees introduced here can accommodate any kind of related options (European, American, or exotic …
Persistent link: https://www.econbiz.de/10005835695