A Mathematical Representation of "Excitement" in Games from the Viewpoint of a Neutral Audience

Researchers have long believed the concept of "excitement" in games to be subjective and difficult to measure. This paper presents the development of a mathematically computable index that measures this concept from the viewpoint of an audience. One of the key aspects of the index is the differential of the probability of "winning" before and after one specific "play" in a given game. If the probability of winning becomes very positive or negative by that play, then the audience will feel the game to be "exciting." The index makes a large contribution to the study of games and enables researchers to compare and analyze the "excitement" of various games. It may be applied to many fields especially the area of welfare economics, ranging from allocative efficiency to axioms of justice and equity.

A Mathematical Representation of "Excitement" in Games: A Contribution to the Theory of Game Systems

Researchers have long believed the concept of "excitement" in games to be subjective and difficult to measure. This paper presents the development of a mathematically computable index that measures the concept from the viewpoint of an audience and from that of a player. One of the key aspects of the index is the differential of the probability of "winning" before and after one specific "play" in a given game. The index makes a large contribution to the study of games and enables researchers to compare and analyze the “excitement” of various games. It may be applied in many fields, especially the area of welfare economics, and applications may range from those related to allocative efficiency to axioms of justice and equity.

Inferring the Effects of Vertical Integration from Entry Games : An Analysis of the Generic Pharmaceutical Industry

This paper introduces a novel method for examining the effects of vertical integration. The basic idea is to estimate the parameters of a vertical entry game. By carefully specifying firms' payoff equations and constructing appropriate tests, it is possible to use estimates on rival profit effects to make inferences about the existence of vertical foreclosure. I estimate the vertical entry model using data from the US generic pharmaceutical industry. The estimates indicate that vertical integration is unlikely to generate anticompetitive foreclosure effects. On the other hand, significant efficiency effects are found to arise from vertical integration. I use the parameter estimates to simulate a policy that bans vertically integrated entry. The simulation results suggest that such a ban is counterproductive; it is likely to reduce entry into smaller markets.

Export platform FDI and firm heterogeneity

This paper investigates theoretically and empirically firms' productivity ranking among traditional horizontal foreign direct investment (HFDI), pure platform FDI (PFDI), and complex platform FDI (CFDI). Using data on Japanese outward FDI, we define firms conducting HFDI or PFDI as those Japanese firms that maintain production affiliates only in the U.S. or Mexico, respectively. The firms for CFDI are defined as having production affiliates in both the U.S. and Mexico. The theoretical illustration shows that the CFDI firms should have the highest productivity when trade costs between the U.S. and Mexico are low. By carefully disentangling firms' self-selection effects from learning-by-investing effects, we find some evidence consistent with this hypothesis for a period of relatively low trade costs. Our results indicate the importance of trade costs in developing countries with neighboring markets in attracting foreign investment by highly productive multinational firms.

Export platform foreign direct investment : theory and evidence

This paper proposes a model that accounts for “export platform” FDI – a form of FDI that is common in the data but rarely discussed in the theoretical literature. Unlike the previous literature, this paper’s theory nests all the typical modes of supply, including exports, horizontal and vertical FDI, horizontal and vertical export platform FDI. The theory yields the testable hypothesis that a decrease in either inter-regional or intra-regional trade costs induces firms to choose export platform FDI. The empirical analysis provides descriptive statistics which point to large proportions of third country exports of US FDI, and an econometric analysis, whose results are in line with the model’s predictions. The last section suggests policy implications for nations seeking to attract FDI.