Partisan and bipartisan gerrymandering

This paper analyzes the optimal partisan and bipartisan gerrymandering policies in a model with electoral competitions in policy positions and transfer promises. Party leaders have both office‐ and policy‐motivations. With complete freedom in redistricting, partisan gerrymandering policy generates the most one‐sidedly biased district profile, while bipartisan gerrymandering generates the most polarized district profile. In contrast, with limited freedom in gerrymandering, both partisan and bipartisan gerrymandering tend to prescribe the same policy.     

Anchor stores

Planned shopping malls usually have one or more department (anchor) stores and multiple specialized retailers selling substitutable commodities in each commodity category. If consumers know their taste for the anchor's commodity and its price, but learn about a retailer's commodity only by costly search, collocation may benefit both store types. Intra-mall competition reduces markups, but anchors guarantee a minimum surplus from search. A mall with many retailers makes finding a suitable specialized commodity highly probable. For some parameters, additional consumer search dominates the loss in retail markups, so a profit-maximizing land developer would rent mall space to both store types.     

Concentration of competing retail stores

The geographical concentration of stores that sell similar commodities is analyzed using a two-dimensional spatial competition model. A higher concentration of stores attracts more consumers with taste uncertainty and low price expectations (a market-size effect), while it leads to fiercer price competition (a price-cutting effect). Our model is general enough to allow for the coexistence of multiple (possibly) asymmetric clusters of stores. We provide sufficient conditions for the nonemptiness of equilibrium store location choices in pure strategies. Through numerical examples, we illustrate the trade-off between the market-size and price-cutting effects, and provide agglomeration patterns of stores in special cases.     

Existence of steady – state equium in an overlapping-generations model with production

Summary This paper establishes an existence theorem of a non-trivial (positive capital stock) steady-state equilibrium in Diamond's (1965) overlapping-generations model with production by employing the steady-state consumption curve introduced in Ihori (1978). The assumptions on preferences and production technologies that ensure the existence of a nontrivial steadystate equilibrium are separated from each other, unlike in Galor and Ryder (1989). We also provide two simple examples which illustrate the importance of two conditions in the theorem.Detailed comments by Tomoichi Shinotsuka and the referees of the journal were quite helpful. We also thank Marcus Berliant, Mark Bus, John H. Boyd III, Ban Chuan Cheah, Rajat Deb, Jim Dolmas, Oded Galor, Greg Huffman, Toshihiro Ihori, Radhika Lahiri, Lionel McKenzie, Arundhati Sen, and the seminar participants at the Midwest Mathematical Economics Conference in Ann Abor and at University of Rochester. The second author gratefully acknowledges the financial supports from the European Community Human Capital Mobility Program.     

Testing for negativity in a demand system: A Bayesian approach

The paper introduces Bayesian inference into a demand model. This allows us to test for the negativity condition of the substitution matrix which is difficult to handle directly in the traditional approach. To illustrate the Bayesian inference procedures, we estimate the Rotterdam model and test the demand properties using Japanese data. The empirical results show the importance of specifically considering negativity in demand analysis. First version received: September 1997/final version received: February 1998     

Expected Log-Utility Maximization Under Incomplete Information and with Cox-Process Observations

We consider the portfolio optimization problem for the criterion of maximization of expected terminal log-utility. The underlying market model is a regime-switching diffusion model where the regime is determined by an unobservable factor process forming a finite state Markov process. The main novelty is due to the fact that prices are observed and the portfolio is rebalanced only at random times corresponding to a Cox process where the intensity is driven by the unobserved Markovian factor process as well. This leads to a more realistic modeling for many practical situations, like in markets with liquidity restrictions; on the other hand it considerably complicates the problem to the point that traditional methodologies cannot be directly applied. The approach presented here is specific to the log-utility. For power utilities a different approach is presented in the companion paper (Fujimoto et al. in Appl Math Optim 67(1):33–72, 2013).