Uniqueness of equilibrium on rings

We consider congestion games on networks with nonatomic users and user-specific costs. We are interested in the uniqueness property defined by Milchtaich [Milchtaich, I. 2005. Topological conditions for uniqueness of equilibrium in networks. Math. Oper. Res. 30 225-244] as the uniqueness of equilibrium flows for all assignments of strictly increasing cost functions. He settled the case with two-terminal networks. In the present work we characterize completely bidirectional rings for which the uniqueness property holds. The main result is that it holds precisely for nine networks and those obtained from them by elementary operations. For other bidirectional rings, we exhibit affine cost functions yielding to two distinct equilibrium flows. Related results are also proven

Sigma Convergence Versus Beta Convergence: Evidence from U.S. County-Level Data

This note outlines (i) why σ-convergence may not accompany β-convergence; (ii) cites evidence of β-convergence in the U.S.; (iii) demonstrates that σ-convergence does not hold across the U.S., or within most U.S. states; and (iv) demonstrates the robustness of this finding to increases in mean income. The distributions of shocks appear important towards accounting for income disparity.σ-convergence, β-convergence, Solow growth model, speed of convergence

Demystifying the 'Metric Approach to Social Compromise with the Unanimity Criterion'

In a recent book and earlier studies, Donald Saari well clarifies the source of three classical impossibility theorems in social choice and proposes possible escape out of these negative results. The objective of this note is to illustrate the relevance of these explanations in justifying the metric approach to the social compromise with the unanimity criterion.social choice, impossibility theorems, metric approach to compromise with the unanimity criterion

Legal Tender

The legal foundation of the monetary system is the law of legal tender. The “legal tender” concept is used in models to describe almost anything except for what it really means in actual laws. Such errors prevent an accurate evaluation of the importance of this legal status. This note explains in simple terms what “legal tender” really means.Legal tender; Contract law; Taxes

Price Setting and Price Adjustment in Some European Union Countries: Introduction to the Special Issue

This introductory essay briefly summarizes the eleven empirical studies of price setting and price adjustment that are included in this special issue. The studies, which use data from several European countries, were conducted as part of the European Central Bank’s Inflation Persistence Network.Price Rigidity, Price Flexibility, Cost of Price Adjustment, Menu Cost, Managerial and Customer Cost of Price Adjustment, Pricing, Price System, Price Setting, New Keynesian Economics, Store-Level Data, Micro-Level Data, Product-Level Data

The Impact of Insider Trading on Forecasting in a Bookmakers' Horse Betting Market

This paper considers the impact of insider trading on forecasting in a betting market when prices are set by bookmakers. We base our analysis on Schnytzer, Lamers and Makropoulou (2008) who showed that inside trading in the 1997-1998 Australian racetrack betting market represents somewhere between 20 and 30 percent of all trading in this market. They show that the presence of insiders leads opening prices to deviate from true winning probabilities. Under these circumstances, forecasting of race outcomes should take into account an estimate of the extent of insider trading per horse. We show that the added value of a measure of insider trading for profitable betting is sufficient to reduce the losses when only prices are taken into account. Since the only variables taken into account in either Schnytzer, Lamers and Makropoulou (2008) or this paper are price data, this is tantamount to a demonstration that the market is weak-form efficient.

Weighted Congestion Games With Separable Preferences

Players in a congestion game may differ from one another in their intrinsic preferences (e.g., the benefit they get from using a specific resource), their contribution to congestion, or both. In many cases of interest, intrinsic preferences and the negative effect of congestion are (additively or multiplicatively) separable. This paper considers the implications of separability for the existence of pure-strategy Nash equilibrium and the prospects of spontaneous convergence to equilibrium. It is shown that these properties may or may not be guaranteed, depending on the exact nature of player heterogeneity.congestion games, separable preferences, pure equilibrium, finite improvement property, potential.

Après nous le Déluge: Fertility and the Intensity of Struggle against Immigration

This paper is inspired by a puzzling empirical fact that despite the importance of controlling migration for their future, the host countries allocate very limited amounts of resources to the struggle against illegal immigration. The present model analyzes this issue in the context of low fertility in the host countries and suggests a novel channel though which the intensity of the struggle against immigration can be related to fertility. The analysis shows that for childless individuals, who have no reason to care about the future, it is optimal to contribute less to the costly immigration-prevention measures.immigration, border enforcing, low fertility