Inverse of the Berge maximum theorem

Summary We consider an inverse of the Berge maximum theorem. We also give an application of our result to fixed point theory.     

A dynamic model of R&D competition

This study considers a dynamic model of R&D competition in a situation of no uncertainty with identical firms in a perfect foresight. We are going to find out about the effects of firms' absorptive capacity on R&D strategies in the presence of technological spillovers. The conditions for the existence and uniqueness of a feedback–Nash equilibrium on firms' R&D expense will be also discussed. Numerical simulations will show as the introduction of the absorptive capacity reduces the impact of spillovers degree on firms' R&D strategies.     

Debt and equity as optimal contracts

This paper shows the simultaneous optimally of debt and equity contracts in a principal-agent model. The agent (an entrepreneur) has an investment project but does not have the necessary funds to finance it. There is moral hazard in the model, generated by the dependence of the project's expected return on the (unobservable) agent's effort. Key to the optimality of these financial instruments is the nonassignable rent produced by the project and captured by the entrepreneur when the investment is successful.     

Investment and technological choice in a right-to-manage model

We analyze the interactions between investment and local wage bargaining in a putty-clay model where the investment decision commits the firm to a particular capital intensity. This technological precommitment is used strategically in order to manipulate the bargaining outcome. We show that this strategic behavior induces a nonmonotonic relationship between the capital and labor demands of the firm and most of its environmental parameters (e.g., the bargaining power of the union, its minimum wage requirement, the capital cost). The results we obtain in our putty-clay framework thus contradict several conclusions of the standard literature on wage bargaining and investment.     

Measuring the Cost‐Effectiveness of an R&D Tax Credit for the UK

This paper investigates the economic impact of the government's proposed new UK R&D tax credit. We measure the benefit of the credit by the effect on value added in the short and long runs. This is simulated from existing econometric estimates of the tax‐price elasticity of research and development (R&D) and the effect of R&D on productivity. For the latter, we allow R&D to have an effect on technology transfer (catching up with the technological frontier) as well as innovation (pushing the frontier forward). We then compare the increase in value added to the likely exchequer costs of the programme under a number of scenarios. In the long run, the increase in GDP far outweighs the costs of the tax credit. The short‐run effect is far smaller, with value added only exceeding cost if R&D grows at or below the rate of inflation.     

Non-addictive habits: optimal consumption-portfolio policies

We formulate a model of preferences with non-addictive habits, where consumption is required to be non-negative at all times, but can fall below a “standard of living” index that aggregates past consumption. We study the consumption-portfolio problem taking account of the non-negativity constraint on consumption, and provide a constructive proof for the existence of an optimal policy on a finite time-horizon [0,T]. We show that the consumption constraint binds up to an endogenous stopping time τ∗∈[0,T], after which it remains slack until T. A decomposition of constrained consumption involving an Asian average-strike capped call-option is demonstrated.     

Time‐varying Hedge Ratios: A Principal‐agent Approach

We use the classic agency model to derive a time‐varying optimal hedge ratio for low‐frequency time‐series data: the type of data used by crop farmers when deciding about production and about their hedging strategy. Rooted in the classic agency framework, the proposed hedge ratio reflects the context of both the crop farmer's decision and the crop farmer's contractual relationships in the marketing channel. An empirical illustration of the Dutch ware potato sector and its futures market in Amsterdam over the period 1971–2003 reveals that the time‐varying optimal hedge ratio decreased from 0.34 in 1971 to 0.24 in 2003. The hedging effectiveness, according to this ratio, is 39%. These estimates conform better with farmers’ interest in using futures contracts for hedging purposes than the much higher estimates obtained when price risk minimisation is the only objective considered.     

Does distance matter in spillover?1

Our aim in this paper is twofold: to find whether FDI causes horizontal or vertical productivity spillovers to domestically‐owned Hungarian manufacturing firms, and to see if distance matters in spillovers. For this exercise we use a large panel of Hungarian firms and different panel models. Consistently with previous research, at the country level, we find positive vertical spillovers but no evidence of positive horizontal spillovers. By taking distance into consideration, however, we find positive horizontal spillovers for domestic firms close to foreign‐owned firms. By constructing spillover measures weighted by distance, we find similar patterns. Our results underline the importance of labour market rigidity and the local nature of knowledge in the case of horizontal spillovers.     

Why the marriage squeeze cannot cause dowry inflation

An influential explanation for rising dowry payments is the “marriage squeeze”. The present paper shows this explanation to be internally inconsistent. The marriage squeeze argument for inflation relies on the fact that population growth leads to an excess supply of brides in the marriage market. This excess supply is resolved by some women postponing marriage, so that the average age of brides increases. In previous studies the argument is stated informally. Here, a matching model of marriage is developed to formally analyze the link between dowry payments and population growth. It is shown that a marriage squeeze cannot yield dowry inflation. In fact, when women who do not find matches at the ‘desirable’ marrying age re-enter the marriage market as older brides, a marriage squeeze is shown to imply dowry deflation. Population change is therefore not a promising explanation for the observed increases in dowry payments.     

Exit problems in regime-switching models

This paper provides a general framework for pricing of perpetual American and real options in regime-switching Lévy models. In each state of the Markov chain, which determines switches from one Lévy process to another, the payoff stream is a monotone function of the Lévy process labeled by the state. This allows for additional switching within each state of the Markov chain (payoffs can be different in different regions of the real line). The pricing procedure is efficient even if the number of states is large provided the transition rates are not very large w.r.t. the riskless rates. The payoffs and riskless rates may depend on a state. Special cases are stochastic volatility models and models with stochastic interest rate; both must be modeled as finite-state Markov chains. As an application, we solve exit problems for a price-taking firm, and study the dependence of the exit threshold on the interest rate uncertainty.