Optimization of Harvesting Return from Age-Structured Population

Synopsis Maximization of the net profit from harvesting in a one-species age-structured population is analyzed. One of the control functions is the age of harvested individuals. The constructed mathematical model is similar to vintage capital models used in economics for optimal capital replacement. The optimization technique developed by authors for the capital replacement is disseminated to the formulated problem. A qualitative analysis of the problem is provided and the interpretation of results is given. Such economic topics as a zero-investment period, optimal balanced growth, and turnpike properties are discussed.     

Carbon Trading with Imperfectly Observable Emissions

The Kyoto Protocol foresees emission trading but does not yet specify verification of (uncertain) emissions. This paper analyses a setting in which parties can meet their emission targets by reducing emissions, by investing in monitoring (reducing uncertainty of emissions) or by (bilaterally) trading permits. We derive the optimality conditions and carry out various numerical simulations. Our applications suggest that including uncertainty could increase compliance costs for the USA, Japan and the European Union. Central Europe and the Former Soviet Union might be able to gain from trading due to higher permit prices. Emissions trading could also lower aggregate uncertainty on emissions.     

A geometric approach to portfolio optimization in models with transaction costs

We consider a continuous-time stochastic optimization problem with infinite horizon, linear dynamics, and cone constraints which includes as a particular case portfolio selection problems under transaction costs for models of stock and currency markets. Using an appropriate geometric formalism we show that the Bellman function is the unique viscosity solution of a HJB equation.Mathematics Subject Classification (1991): 60G44JEL Classification: G13, G11This research was done at Munich University of Technology supported by a Mercator Guest Professorship of the German Science Foundation (Deutsche Forschungsgemeinschaft). The authors also express their thanks to Mark Davis, Steve Shreve, and Michael Taksar for useful discussions concerning the principle of dynamic programming.     

Potential heterogeneity in target’s value and jump bidding in takeover auctions

This ticle analyses the pre-emptive jump bidding equilibrium in takeover auctions when bidders’ valuations of the target firm follow truncated normal distribution. It shows that potential heterogeneity of the targets’ value, measured by the standard deviation of the bidders’ valuation function, is especially important when it is small and, for extremely small values, the second bidder is almost always pre-empted. It also shows that, contrary to regular clock-style auctions, the increase in standard deviation may negatively affect the expected profit of the first bidder.     

The Impact of Agricultural Import Tariff on Economic Growth： Evidence From Mercosur Countries

This research paper attempts to determine the relationship between agricultural import tariff and economic growth of Mercosur countries over the period 1996-2007 using regression analysis as well as evaluates the gains and losses from the group＇s trade policy over the same period. The introductory part of this paper focuses on the dynamics of changes in economic growth, trade, and import tariff of these countries over the last two decades. The results of the performed regression analysis of panel data suggest that trade liberalization has a quantitatively significant positive effect on growth. By using the coefficient estimates on tariff, the authors perform a quantitative evaluation of gains and losses from trade policy, for which tariff measures to trade （imports） are used as a proxy.     

A baseline model of industry evolution

The paper analyses some general dynamic properties of industries characterized by heterogeneous firms and continuing stochastic entry.After a brief critical assessment of some significant drawbacks of recent contributions to modeling of stochastic industrial dynamics, we propose a novel analytical apparatus able to derive some generic properties of the underlying competition process combining persistent technological heterogeneity, differential growth of individual firms and turnover. The basic model, we suggest, is indeed applicable with proper modifications to a large class of evolutionary processes, well beyond industrial dynamics.JEL Classification: L11, O30, C60Support to this research by the International Institute for Applied Systems Analysis (IIASA), Austria; the Fujitsu Research Institute for Advanced Information (FRI), Japan; the Italian National Research Council (CNR), the Italian Ministry of Education, University and Research (MIUR, prot. 2002132413 003) and the Free University of Bozen Bolzano, Italy, is gratefully acknowledged. Comments by Andrea Bassanini, Francesca Chiaromonte, Steven Klepper, Uwe Cantner, Drew Fudenberg and the anonymous referees helped in shaping the paper to its present form. Mariele Berté provided the computer simulations of the model. The usual caveats apply.Correspondence to: G. Dosi     

Scarcity, regulation and endogenous technical progress

This paper studies to which extent a firm using a scarce resource input and facing environmental regulation can still manage to have a sustainable growth of output and profits. The firm has a vintage capital technology with two complementary factors, capital and a resource input subject to quota, the latter being increasingly scarce through an exogenously rising price. The firm can scrap obsolete capital and invest in adoptive and/or innovative R&D resource-saving activities. Within this realistic framework, we first characterize long-term growth regimes driven by scarcity (induced-innovation) vs. long-term growth regimes driven by quota regulation (Porter-like innovation). More importantly, we study the interaction between scarcity and quota regulation. In particular, we show that there exists a threshold level for the growth rate of the resource price above which the Porter mechanism is killed while the scarcity-induced growth regime may emerge. Symmetrically, we also find that there must exist a threshold value for the environmental quota under which the growth regime induced by scarcity vanishes while the Porter-like growth regime may survive.     

Anticipation of Auction Fever: Entry Decision,Reserve Price and the Choice of Auction Design

This paper analyzes the entry decision of rational bidders who expect to experience auction fever in English auctions. It shows that nonparticipation decision reduces seller's expected profit and this effect may outweigh the positive effect of the auction fever. We analyze the choice between English and second‐price sealed‐bid auctions and the optimal reserve price in English auctions. We show that it might be optimal for the seller to set a reserve price below her own valuation of the object. Finally, we show that the order in which bidders place their bids matters and the first bidder always has an advantage. Copyright © 2011 John Wiley & Sons, Ltd.     

Pricing-to-Market Behavior: Japanese Exports to the US, Asia, and the EU

The paper examines the pricing-to-market (PTM) behavior of Japanese exporters in the US, Asian, and EU markets. Empirical evidence shows that PTM elasticity is highest to the US market. This matches the in-tuitive reasoning that the US market is more competitive than the EU and Asian markets for Japanese exporters. Furthermore, PTM elasticities estimated in this paper using expected exchange rates are positive but their amounts are smaller than PTM elasticities estimated by previous studies with actual exchange rates. The difference may be due to the fact that the invoice currency for most Japanese exports is the US dollar.