Bertrand equilibrium with subadditive costs

We show here, in contrast to recent results, that if firms have different cost functions (that are strictly subadditive), such that the ‘monopoly breakeven prices’ are different, then in a homogeneous product duopoly there is always a Bertrand equilibrium (either in pure strategies or in mixed strategies).     

On Stackelberg games in a homogeneous product market

In a homogeneous product duopoly with concave demand and strictly convex costs we bring together all the standard results of quantity Stackelberg games, provide some new results with price Stackelberg games and compare the equilibrium configuration of the quantity games with the price games. In the price Stackelberg game we show there is a unique SPNE where the leader chooses a lower price than the follower, but both get equal payoffs. We prove that generally quantity Stackelberg games are less competitive than price Stackelberg games. However, we also demonstrate the possibility of a reversal of this result.     

On the existence of pure strategy Bertrand equilibrium

Summary The paper analyses the existence of pure strategy Nash equilibrium in price competition (or Bertrand equilibrium) in a homogeneous product market when costs are strictly convex and proves that if output is demand determined such equilibrium always exists. This paper also characterises such equilibria and shows that if firms are identical such equilibria are necessarily non-unique. However for firms with asymmetric costs it can be unique or non-unique.I am greatly indebted to Anjan Mukherji and Kunal Sengupta for this paper. I also express my profound gratitude to a referee of this journal for a very helpful set of suggestions.     

Fertility and Economic Growth: Do Immigrant Maids Play a Role?

A significant source of child-care services in East and South-East Asia are provided by immigrant maids. Using a modified version of the model used in Galor and Weil (1996), the present paper analyses the impact of this source of child-care services on women's labor market participation, fertility behavior and the household purchase of child-care services. The results show that a lower price for the maid service leads to a lower savings rate, a higher demand for children and less time being spent with children. We also find that hiring immigrant maids leads to lower economic growth in the long run.     

Analysis of marginally specified semi-nonparametric models for clustered binary data

Generalized linear mixed models are widely used for analyzing clustered data. If the primary interest is in regression parameters, one can proceed alternatively, through the marginal mean model approach. In the present study, a joint model consisting of a marginal mean model and a cluster-specific conditional mean model is considered. This model is useful when both time-independent and time-dependent covariates are available. Furthermore our model is semi-parametric, as we assume a flexible, smooth semi-nonparametric density of the cluster-specific effects. This semi-nonparametric density-based approach outperforms the approach based on normality assumption with respect to some important features of 'between-cluster variation'. We employ a full likelihood-based approach and apply the Monte Carlo EM algorithm to analyze the model. A simulation study is carried out to demonstrate the consistency of the approach. Finally, we apply this to a study of long-term illness data.     

Does the Confucius Institute Network Impact Cultural Distance? A Panel Data Analysis of Cross‐Border Flows in and out of China

This paper examines the impact of cultural distance in general and the Confucius Institute Network in particular on cross‐border flows of tourists, goods and investment in and out of China. We estimate a panel gravity model of inbound and outbound flows between 2004 and 2012. We find that the presence of Confucius Institute(s) in the source country increases inbound tourism and equity flows and outbound export and FDI flows for China, while other measures of cultural distance have less of an impact.     

Corruption,market quality,and entry deterrence in emerging economies

In many emerging economies incumbent firms often use dubious means to deter entry of other firms. We analyze this scenario in a three‐stage game of entry deterrence. The incumbent has incomplete information about the entrant's costs but can increase this cost by resorting to unfair means (e.g. bribing a politician who harms the entrant). We completely characterize the optimal bribe and show that this depends on the “fairness index” and the “differentiation” parameter. We also show that zero bribes need not maximize welfare and market quality. Our results seem to be compatible with anecdotal evidence from emerging economies such as India.     

The covariates of regularity in purchase timing

An examination of the timing of consumers' purchases for coffee reveals that consumers vary a great deal in terms of the regularity of their purchasing behavior. Some consumers make purchases at seemingly random time intervals, while others purchase at highly regular intervals. The measurement of regularity in purchase timing, as well as the identification of its covariates, is important in many contexts such as modeling purchase incidence and sales forecasting. We measure the degree of regularity among a sample of coffee purchasers and identify several consumer characteristics that vary with the degree of regularity in purchase timing. Results show that regularity in purchase timing is related to brand loyalty, store loyalty and deal proneness, as well as to certain pattern of routinization by the households, and that regularity may be used, along with other aspects of purchase behavior, to provide a basis for market segmentation.The authors wish to acknowledge the support of Information Resources Inc. for providing the data, and are grateful to Professor Jane T. Landwehr, University of Delaware, for her help.     

On public investment, long-run growth, and the real exchange rate

This paper extends the Barro (1990) endogenous growth modelwith productive government services to a two-country world withperfect capital mobility, populated by optimising agents withuncertain lifetimes. It shows that increases in government spendingon infrastructure for the home country result in higher growthrates and a terms of trade improvement. Both these effects arereversed after a point, showing that a hump-shaped curve—similarto the Barro curve, but with different properties—canbe obtained here even with lump-sum taxes. We also examine thewelfare implications of public investment policies, and characterisethe world economy's dynamics.