Two-log-convexity of the Catalan-Larcombe-French sequence

The Catalan-Larcombe-French sequence $\{P_n\}_{n\geq 0}$ arises in a series expansion of the complete elliptic integral of the first kind. It has been proved that the sequence is log-balanced. In the paper, by exploring a criterion due to Chen and Xia for testing 2-log-convexity of a sequence satisfying three-term recurrence relation, we prove that the new sequence $\{P^2_n-P_{n-1}P_{n+1}\}_{n\geq 1}$ are strictly log-convex and hence the Catalan-Larcombe-French sequence is strictly 2-log-convex.Comment: 8 pages in Journal of Inequality and Applications,201

A Hybrid Approach to Joint Estimation of Channel and Antenna impedance

This paper considers a hybrid approach to joint estimation of channel information and antenna impedance, for single-input, single-output channels. Based on observation of training sequences via synchronously switched load at the receiver, we derive joint maximum a posteriori and maximum-likelihood (MAP/ML) estimators for channel and impedance over multiple packets. We investigate important properties of these estimators, e.g., bias and efficiency. We also explore the performance of these estimators through numerical examples.Comment: 6 pages, two columns, 6 figures. References update

Social Preferences and Relational Contracting Performance: An Experimental Investigation

We examine how social preferences affect behavior and surplus in relational contracts. Experimental subjects participate in a contracting environment similar to Brown, Falk, and Fehr [Brown, M., Falk, A. & Fehr, E., “Relational Contracts and the Nature of Market Interactions, Econometrica, 72 (2004):747-780] and in social preference experiments adapted from Charness and Rabin [Charness, G. & Rabin, M. “Understanding Social Preferences with Simple Tests.” The Quarterly Journal of Economics 117(2002): 817-869]. Subjects’ behavior during the Charness and Rabin experiment is a significant predictor of behavior and outcomes observed during the subsequent multi-period, finite-horizon, relational- contracting environment, which features market power, unenforceable performance, reputation formation and endogenous matching of trading partners. Compared to subjects who respond to the Charness-Rabin games in a fashion consistent with purely self-interested, competitive or reciprocal social preferences, buyers and sellers with alternative social preference structures engage in contracts with substantially higher quality and price, which leads to greater surplus for both parties. A key difference is that self-interested, competitive and reciprocal buyers respond to early-period shirking by extending subsequent offers that are less generous to the seller, while buyers with other social preferences extend subsequent offers that are more generous. Reciprocal and competitive sellers and, to a lesser extent, self-interested sellers, deliver sub-contractual levels of quality more often, which substantially lowers buyer and total welfare. We conclude that intentional or ‘cold’ measures of social preferences have considerable predictive power in dynamic, interactive (or ‘hot’) economic settings.Contracts; relational contracts; implicit contracts; market interaction; experimental economics; repeated transaction; social preferences.

Mixed Tournaments, Common Shocks, and Disincentives: An Experimental Study

Experimental economics is used to investigate two important hypotheses proposed in the economics literature on tournaments. Specifically, we test for a hypothesized “disincentives effect” which can occur in tournaments with mixed ability agents. We also test the well known hypothesis that, when common shocks are an important source of risk, tournaments can filter out this common shock and reduce earnings risk to workers. We find that disincentive effects arose in our tournament experiments, although these effects are not as strong as we predicted in our theoretical model and simulations. We also find that tournaments can be very effective at reducing earnings variation when common shocks are important. Taken together, these results suggest that the benefits of risk reduction from eliminating common shocks might outweigh the disincentive effects arising from mixed tournaments. We also find that the difference in average earnings between low and high ability agents is greater under tournaments than under absolute performance contracts.mixed tournaments; incentives; relative performance contracts; experimental economics

Do the Selfish Mimic Cooperators? Experimental Evidence from Finitely-Repeated Labor Markets

Experimental studies have consistently shown that cooperative outcomes can emerge even in finitely repeated games. Such outcomes are justified by existing reputation building models, which suggest that cooperative outcomes can be sustained if some subjects have other-regarding preferences. While the existence of other-regarding preferences is typically used to justify experimental outcomes, we are unaware of empirical studies that explicitly examine the interaction between cooperators (those with other-regarding preferences) and selfish subjects in sustaining cooperation. In this paper, we classify subjects as either selfish or cooperative using simple social preference games and then test for behavioral differences between the two types in a finitely-repeated labor market with unenforceable worker effort. Theory predicts, and our data confirms, that (1) selfish players mimic the actions of cooperators when trading partners can track the individual reputation of past partners and (2) selfish and cooperative types act differently when individual reputations cannot be tracked.contracts, relational contracts, implicit contracts, market interaction, experimental economics, repeated transaction, social preferences, reputation, firm latitude, finitely-repeated games

AJAE Appendix: Contract Enforcement, Social Efficiency, and Distribution: Some Experimental Evidence

The material contained herein is supplementary to the article named in the title and published in the American Journal of Agricultural Economics, May 2007, Volume 89, Issue 2.Marketing,

AJAE Appendix: Tournaments, Fairness, and Risk

The material contained herein is supplementary to the article named in the title and published in the American Journal of Agricultural Economics, Volume 88, Number 3, August 2006.Research Methods/ Statistical Methods, Risk and Uncertainty,

THE WELFARE EFFECTS OF BANNING TOURNAMENTS WHEN COMMITMENT IS IMPOSSIBLE: SOME RESULTS FROM THE BROILER SECTOR

We consider the implications of banning tournament contracts and replacing them with fixed performance standard contracts in a multi-period model where the principal cannot commit to future contract parameters. A ban cannot increase total surplus in a static model. In a dynamic model, however, a ban of tournaments can increase total surplus by mitigating the ratchet effect. Calibrating our model to published data from the broiler sector, we find that a ban on use of contemporaneous and lagged relative performance data does not improve total surplus under most circumstances but could increase total surplus in a few instances of low wealth and unitary relative risk aversion. A more enforceable, period-by-period ban is even less likely to be welfare enhancing and does not hinder the principal from redistributing a fixed compensation pool from low ability growers to high ability growers.Livestock Production/Industries,

TOURNAMENTS, RISK PERCEPTIONS, AND FAIRNESS

This paper reports the results of an economic experiment investigating human subjects' preferences for two types of contracts tournaments and fixed performance standard contracts. Willingness to pay data was elicited through an auction and results suggest that subjects prefer fixed performance standard contracts to tournaments. Primary drivers of this result appear to be subjects' perceptions that tournaments are more risky and less fair than fixed performance standard contracts. Surprisingly, measures of the relative profitability of the contracts did not correlate with willingness to pay. Our results can shed light on why agricultural producers express frustration over tournaments and can provide insights on contract and policy design.Research Methods/ Statistical Methods,