Inferring repeated-game strategies from actions: evidence from trust game experiments

Summary. Combining a strategy model, an inference procedure and a new experimental design, we map sequences of observed actions in repeated games to unobserved strategies that reflect decision-makers’ plans. We demonstrate the method by studying two institutional settings with distinct theoretical predictions. We find that almost all strategies inferred are best responses to one of the inferred strategies of other players, and in one of the settings almost all of the inferred strategies, which include triggers to punish non-cooperators, are consistent with equilibrium strategies. By developing a method to infer unobserved repeated-game strategies from actions, we take a step toward making game theory a more applied tool, bridging a gap between theory and observed behavior.Received: 23 December 2002, Revised: 19 April 2005, JEL Classification Numbers: C72, C80, C90.The authors are indebted for discussions with Ray Battalio, David Cooper, Robin Dubin, John Duffy, Ellen Garbarino, Susan Helper, Margaret Meyer, John Miller, Jim Rebitzer, Mari Rege, Al Roth, and John Van Huyck. The authors also benefited from discussants at economic department seminars at Case Western Reserve, McMaster and McGill University, University of Pittsburgh, SUNY-Stony Brook, and Texas A&M, and participants at the 2002 European Winter Meeting of the Econometric Society. We are grateful for the financial support provided by the Department of Economics at the University of Pittsburgh and Case Western Reserve University.     

Estimation of the mean in ranked set sampling with non responses

The estimation of the population mean when ranked set sampling [rss] is used for selecting the sample and non responses [nr] are present, is studied. The nr stratum is sub sampled using simple random sampling with replacement. Two strategies are analyzed. One of them is based on the selection of a sub sample from the nr in each cycle. The other uses sub samples selected among the nr in each rank.  The accuracy of the proposed estimators is characterized by the corresponding expected variances. Simulations and real life data are used for analyzing the behavior of them. Acknowledgements: This paper was developed partially during the visit of the author to Université des Antilles et Gouyane. The author gratefully acknowledges the helpful suggestions of the referees and thanks the support of DAAD for visiting Humboldt University where a version of the paper version was made.     

Working While the World Sleeps: A Consideration of Sleep and Shift Work Design

The evolution of society and economic pressure has provided the impetus for operating on a 24-hr basis in many industries. This has occurred with relatively little attention toward sleep deprivation and related problems facing shift workers and the organizations employing them. This paper first documents the move toward shift work and some sleep problems associated with it. We then describe sleep disorders that impact job performance. Next, we describe alternative schedules and give suggestions for shift work implementation. Finally, we offer some normative advice regarding the treatment of shift employees.     

The Impacts of Unemployment on Alternative Poverty Rates

The analysis uses March Current Population Survey data to estimate state-level cross-section/time-series models of the effects of the unemployment rate on alternative poverty rates. The measures include the official headcount rate, and alternatives based higher thresholds, revised equivalence scales and income defined as inclusive and exclusive of taxes and cash and in-kind transfers. The estimated effects turn critically on the measurement approaches, both for the total sample population and for four population sub-groups. For several alternative poverty rate measures, the unemployment rate has no significant impact on poverty. By contrast, real per-capita median earnings have strong and consistently negative effects on the poverty rates of all groups studied. The findings thus provide important lessons for researchers exploring the links between economic conditions and poverty, and for policy makers developing poverty reduction strategies.     

Migration consequences of welfare reform

We investigate whether recent changes in welfare policy affect the migration of low-educated unmarried mothers. Estimates indicate that welfare reform is associated with an increase in employment-related intrastate migration, and a decrease in non-employment related migration, both within and between states. The net effect was a small increase in intrastate migration and a small decrease in interstate migration. The close link between migration and employment suggests that welfare reform has motivated low-income women to move for economic reasons. In general, welfare policy appears to have a much larger effect on residential location because of its relationship to employment than because of benefit differences between states.     

UNIT MANAGEMENT BUYOUTS, STOCKHOLDER WEALTH, AND SELLING FIRMS' CHARACTERISTICS

Previous research on unit management buyouts, UMBs, has shown that selling firms benefit from the selloff transaction. The current research demonstrates that when the selling firm has either poor liquidity or poor earnings, selling firm shareholders do not benefit as much. We hypothesize that the unit managers have knowledge about the selling firm's difficulties so they do not pay as large a premium for the assets. Since the unit managers technically are employed by the selling firm shareholders, their bargaining to achieve a better price is an agency cost. Finally, selloff frequency does not affect seller abnormal returns.     

Pricing Options on an Asset with Bernoulli Jump-Diffusion Returns

The price movements of certain assets can be modeled by stochastic processes that combine continuous diffusion with discrete jumps. This paper compares values of options on assets with no jumps, jumps of fixed size, and jumps drawn from a lognormal distribution. It is shown that not only the magnitude but also the direction of the mispricing of the Black-Scholes model relative to jump models can vary with the distribution family of the jump component. This paper also discusses a methodology for the numerical valuation, via a backward induction algorithm, of American options on a jump-diffusion asset whose early exercise may be profitable. These cannot, in general, be accurately priced using analytic models. The procedure has the further advantage of being easily adaptable to nonanalytic, empirical distributions of period returns and to nonstationarity in the underlying diffusion process.     

Rates of Return to Schooling in China

This study uses data from a 1988 survey of Chinese individuals to estimate rates of return to schooling in China. The Mincer-type rate of return to schooling was estimated at 4.02 percent in the rural areas and 3.29 percent in the urban areas; these are fairly low estimates compared with similar estimates in other countries. The rate of return to schooling for females was significantly higher than that for males in urban areas. In addition, members of the Communist Party in urban areas had significantly lower returns to schooling compared with non-members.