Showing 1 - 10 of 158
We introduce several exact nonparametric tests for finite sample multivariate linear regressions, and compare their powers. This fills an important gap in the literature where the only known nonparametric tests are either asymptotic, or assume one covariate only.
Persistent link: https://www.econbiz.de/10008455569
We introduce tests for finite-sample linear regressions with heteroskedastic errors. The tests are exact, i.e., they have guaranteed type I error probabilities when bounds are known on the range of the dependent variable, without any assumptions about the noise structure. We provide upper bounds...
Persistent link: https://www.econbiz.de/10010703140
Persistent link: https://www.econbiz.de/10005523772
We consider the "and" communication mechanism that inputs messages from two players and outputs the public signal "yes" if both messages are "yes", and outputs "no" otherwise. We prove that no correlation can securely be implemented through finite or infinite repetition of this mechanism.
Persistent link: https://www.econbiz.de/10005478920
Correlated equilibria and communication equilibria are useful notions to understand the strategic effects of information and communication. Between these two models, a protocol generates information through communication. We define a secure protocol as a protocol from which no individual may...
Persistent link: https://www.econbiz.de/10005669271
This paper studies situations in which agents do not initially know the effect of their decisions, but learn from experience the payoffs induced by their choices and their opponent's. We characterize equilibrium payoffs in terms of simple strategies in which an explanation phase is followed by a...
Persistent link: https://www.econbiz.de/10005669288
It is well known that, whereas in one-agent contexts the value of information is always positive, in strategic situations, this is not always the case. We will consider the class of games for which, under a specific information structure, there exists a unique Pareto payoff profile, and we show...
Persistent link: https://www.econbiz.de/10005775617
We characterize the max min of repeated zero-sum games in which player one plays in pure strategies sonditional on the private observation of a fixed sequence random variables. Meanwhile we introduce a definition of a strategic distance between probability measures, and relate it to the standard...
Persistent link: https://www.econbiz.de/10005775636
Several authors have observed that in interactive decision frameworks, welfare is not monotonic with information in the sense that more information can make agents worse off. This contrats with Blackwell's comparison of statistical experiments in which more informationcan only make the...
Persistent link: https://www.econbiz.de/10005779541
We explore the consequences of the assumptions used in modern cryptography when applied to repeated games with public communication. Technically speaking, we model agents by polynomial Turing machines and assume the existence of a trapdoor function. Under these conditions, we prove a Folk...
Persistent link: https://www.econbiz.de/10005634047