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Fictitious play is the classical myopic learning process, and games with strategic complementarities are an important class of games including many economic applications. Knowledge about convergence properties of fictitious play in this class of games is scarce, however. Beyond dominance...
Persistent link: https://www.econbiz.de/10005407536
Using insights from the theory of projective geometry one can prove convergence of continuous fictitious play in a certain class of games. As a corollary, we obtain a kind of equilibrium selection result, whereby continuous fictitious play converges to a particular equilibrium contained in a...
Persistent link: https://www.econbiz.de/10005062342
What modern game theorists describe as 'fictitious play' is not the learning process George W. Brown defined in his 1951 paper. His original version differs in a subtle detail, namely the order of belief updating. In this note we revive Brown's original fictitious play process and demonstrate...
Persistent link: https://www.econbiz.de/10005062395
Fictitious play is the oldest and most studied learning process for games. Since the already classical result for zero-sum games, convergence of beliefs to the set of Nash equilibria has been established for some important classes of games, including weighted potential games, supermodular games...
Persistent link: https://www.econbiz.de/10005550859
We present a class of games with a pure strategy being strictly dominated by another pure strategy such that the former survives along most solutions of the Brown-von Neumann-Nash dynamics.
Persistent link: https://www.econbiz.de/10005550954
It is known that every continuous time fictitious play process approaches equilibrium in every nondegenerate 2x2 and 2x3 game, and it has been conjectured that convergence to equilibrium holds generally for 2xn games. We give a simple geometric proof of this.
Persistent link: https://www.econbiz.de/10005550959
Capital account liberalization and exchange rate regime choice, what scope for flexibility in Tunisia? The adoption by Tunisia of structural reforms of its economy in a context of gradual opening since 1986, had allowed the instauration in January 1993 of the convertibility of its current...
Persistent link: https://www.econbiz.de/10005407508
The recent debates over discriminatory versus uniform-price auctions in the UK and elsewhere have revealed an incomplete understanding of the limitations of some popular auction models when applied to real-world electricity markets. This has led certain regulatory authorities to prefer...
Persistent link: https://www.econbiz.de/10005407509
In a Bayesian game players play an unknown game. Before the game starts some players may receive a signal regarding the specific game actually played. Typically, information structures that determine different signals, induce different equilibrium payoffs.In zero-sum games the equilibrium payoff...
Persistent link: https://www.econbiz.de/10005407510
This paper characterizes interim efficient mechanisms for public good production and cost allocation in a two-type environment with risk neutral, quasi-linear preferences and fixed size projects, where the distribution of the private good, as well as the public goods decision, affects social...
Persistent link: https://www.econbiz.de/10005407511