The Shapley Value of a Patent Licensing Game: the Asymptotic Equivalence to Non-cooperative Results

We consider a game in characteristic form played by firms and an outside patent holder of a cost-reducing innovation. The worth of a coalition of players is the total Cournot profit the coalition can guarantee to obtain when it operates an optimal number of its firms while the complement operates any number of its firms as to minimize the profit of the coalition. Only firms in a coalition with the patent holder are allowed to use the efficient technology. We prove that when the number of firms is large, the Shapley value of the patent holder approximates the payoff he obtains in the non-cooperative auction game traditionally studied in the literature.We thank an anonymous referee for very helpful comments that significantly improved the paper. The second author is being partially supported by the Ministry of Education, Culture, Sports, Science and Technology (MEXT), Grant-in-Aid for 21 Century COE Program. He wishes to thank his advisor Yair Tauman and co-advisor Pradeep Dubey for their intellectual guidance, Akira Okada and Haruo Imai for their encouragement, and Shigeo Muto for his helpful comments to the first draft of this paper at the autumn meeting of the Japanese Economic Association in 2003.     

Quality-Adjusted Prices of Japanese Mobile Phone Handsets and Carriers’ Strategies

In order to discuss oligopolists’ strategic determination of quality-adjusted prices (QAPs), we conducted a hedonic regression analysis using adjacent periods and estimated the QAPs of mobile phone handsets sold in Japan between 2002 and mid-2007 for each carrier. We observed (1) a decreasing trend in QAP for each carrier, (2) a more rapid decrease in the QAPs of the two smaller carriers’ handsets relative to that of the largest carrier, and (3) a turnover cycle of the QAPs between the two smaller carriers. If both small carriers decrease their QAPs at roughly the same time, neither will significantly increase their subscriber share, which can generate a turnover cycle of QAPs.     

商业信用合同的履行概率,其外部性及现金需求——中国案例

本文测算了商业信用合同违约风险对商业贸易和现金需求的影响。结果显示,外国直接投资企业为其贸易伙伴提供了大量商业信用,而中国的企业,无论是私营,还是国有企业,他们交易实行货到即时付款的比例很高。外国直接投资企业之所以是经济交易中信贷的提供者,是因为他们具有较高的商业信用合同执行技术(contract enforcement technology)。我们还发现商业信用合同的执行技术主要包括贸易物品的竞争力、竞争幅度、与地方政府的关系以及公司治理的性质。一个企业具有较高的合同执行概率,就可能提供大量的商业信用,并获得更大的交易量。合同执行技术对贸易交易量的弹性估计约为2.2。模拟显示如果合同执行概率提高,分布在75%,贸易交易量可增加24%,商业信用规模可增加30%。由于商业信用合约的不完备而导致的经济损失则是巨大的。此外,我们证实,高的商业信用合同执行技术通过商业信用量和交易量的增加而在经济中产生正外部效应。     

REGIONAL SPECIALIZATION,URBAN HIERARCHY,AND COMMUTING COSTS*

We consider an economic geography model of a new genre: All firms and workers are mobile and their agglomeration within a city generates costs through competition on a housing market. In the case of two sectors, contrasted patterns arise. When one good is perfectly mobile, the corresponding industry is partially dispersed whereas the other is agglomerated, thus showing regional specialization. When one sector supplies a nontradeable consumption good, this sector is more agglomerated than the other. The corresponding equilibrium involves an urban hierarchy in that a larger array of varieties of the two goods is produced within the same city.     

On Interregional Price Differentials

It is often observed that the land value is extremely high in very big cities while commodity prices are not. The objective of this paper is to consider interregional price differentials in a microeconomic framework by explicitly incorporating land for housing, and to conduct an empirical analysis of the interregional differential indices. It is revealed that across regions the CPI varies slightly, per capita income varies more, the housing rent varies still more and the land value varies the most in Japanese cities. I provide microeconomic reasons for the differences in these differentials.
JEL Classificiation Numbers: R00, R10.     

Economics of Environmental Management in a Spatially Heterogeneous River Basin

This article examines the allocative efficiency of water quality management activities to protect endangered salmonid species in a heterogeneous watershed in the Pacific Northwest. Using an integrated hydrological, biological, and economic modeling framework, the relative efficiency of alternative policy targets such as temperature reductions and enhanced fish populations is investigated. Results indicate that the heterogeneous nature of riparian conditions and stream morphology influence the choice of management activities. Localized effects of management efforts on temperature are important to achieve small temperature reductions. However, as the desired magnitude of temperature reductions increases, the cumulative (longitudinal) effects become more important, and management efforts in more distant reaches are more efficient than efforts nearer the point of monitoring. Finally, if the underlying objective is to increase fish populations, targeting conservation efforts based on physical criteria such as water temperatures or other total maximum daily load regulations may lead to substantial inefficiencies.     

Bayesian analysis of time-varying parameter vector autoregressive model for the Japanese economy and monetary policy

This paper analyzes the time-varying parameter vector autoregressive (TVP–VAR) model for the Japanese economy and monetary policy. The parameters are allowed to follow a random walk process and estimated using the Markov chain Monte Carlo method. The empirical result reveals the time-varying structure of the Japanese economy and monetary policy during the period from 1981 to 2008. The marginal likelihoods of the TVP–VAR model and other fixed parameter VAR models are estimated for model comparison. The estimated marginal likelihoods indicate that the TVP–VAR model best fits the Japanese economic data.