A characterization of exact non-atomic market games

Continuous exact non-atomic games are naturally associated to certain operators between Banach spaces. It thus makes sense to study games by means of the corresponding operators. We characterize non-atomic exact market games in terms of the properties of the associated operators. We also prove a separation theorem for weak compact sets of countably additive non-atomic measures, which is of independent interest.     

“等效电源定理”的教学设计

为了培养学生的认知能力、应用能力和创新能力,从教学目标、学情、教学方法、教学组织、教学效果等5个方面对《等效电源定理》这一课的教学设计进行说明。     

The influence of pension funds on corporate governance

Although pension funds have gained importance in the last two decades, their role has not been described in detail by economic models. This article focuses on the scope of these institutional investors when they are not satisfied with a management team of a company in which the pension fund holds a block of shares. Stock holdings by pension funds are largely dispersed. Therefore, any intervention by pension funds in corporate governance requires the formation of a coalition of pension funds. The realization of a coordinated intervention, in turn, is subject to the problems related to the provision of public goods, such as free riding. We find that the stock dispersion and the combined share of pension funds, coordination costs and the attractiveness of the exit option are relevant factors for determining the probability of the success of interventions.     

抽样定理的System View仿真与实现

通过分析SystemView仿真软件的优势及主要的功能模块库和应用领域,重点通过通信系统中的抽样定理实例介绍了该软件的使用方法及注意事项。最后,总结该软件的教学应用效果及对相关课程教学的借鉴作用,特别适合通信系统的仿真与设计。     

Diffidence Theorem, State-Dependent Preferences, and DARA

C. Gollier (The Economics of Risk and Time. Cambridge: MIT Press, 2001) has developed a standard technique based on the diffidence theorem. This theorem provides a very simple instrument to solve relatively sophisticated problems when preferences are state-independent. The object of this article is to show that the theorem is also very useful to derive significant results with state-dependent preferences. Using the reference set notion and an extension of the diffidence theorem, we establish formally necessary and sufficient conditions on the reference set, in order to obtain prudence and decreasing absolute risk aversion. Examples of DARA utility functions compatible with non-linear reference sets are presented in the Appendix.     

MC's for MCMC'ists

We develop a minimum amount of theory of Markov chains at as low a level of abstraction as possible in order to prove two fundamental probability laws for standard Markov chain Monte Carlo algorithms:
1. The law of large numbers explains why the algorithm works: it states that the empirical means calculated from the samples converge towards their "true" expected values, viz. expectations with respect to the invariant distribution of the associated Markov chain (=the target distribution of the simulation).
2. The central limit theorem expresses the deviations of the empirical means from their expected values in terms of asymptotically normally distributed random variables. We also present a formula and an estimator for the associated variance.     

Two new proofs of Afriat’s theorem

Summary. We provide two new, simple proofs of Afriats celebrated theorem stating that a finite set of price-quantity observations is consistent with utility maximization if, and only if, the observations satisfy a variation of the Strong Axiom of Revealed Preference known as the Generalized Axiom of Revealed PreferenceReceived: 12 June 2003, Revised: 9 October 2003, JEL Classification Numbers: D11, C60.Correspondence to: A. Fostel     

Stochastic growth: asymptotic distributions

Summary. This note studies conditions under which sequences of state variables generated by discrete-time stochastic optimal accumulation models have law of large numbers and central limit properties. Productivity shocks with unbounded support are considered. Instead of restrictions on the support of the shock, an “average contraction” property is required on technology. Received: August 27, 2001; revised version: January 9, 2002 RID="*" ID="*"The author thanks John Creedy and Rabee Tourky for helpful comments, and the Economic Theory Center, University of Melbourne for financial support.     

A note on Deaton's theorem on the undesirability of nonuniform excise taxation

The paper provides an extension and a new proof of Deaton's theorem on the undesirability of nonuniform excise taxation when income taxes are affine and preferences over consumption goods are separable from labour–leisure choices, homothetic, and identical across agents.