Dynamic learning in behavioral games: A hidden Markov mixture of experts approach

Over the course of a repeated game, players often exhibit learning in selecting their best response. Research in economics and marketing has identified two key types of learning rules: belief and reinforcement. It has been shown that players use either one of these learning rules or a combination of them, as in the Experience-Weighted Attraction (EWA) model. Accounting for such learning may help in understanding and predicting the outcomes of games. In this research, we demonstrate that players not only employ learning rules to determine what actions to choose based on past choices and outcomes, but also change their learning rules over the course of the game. We investigate the degree of state dependence in learning and uncover the latent learning rules and learning paths used by the players. We build a non-homogeneous hidden Markov mixture of experts model which captures shifts between different learning rules over the course of a repeated game. The transition between the learning rule states can be affected by the players?? experiences in the previous round of the game. We empirically validate our model using data from six games that have been previously used in the literature. We demonstrate that one can obtain a richer understanding of how different learning rules impact the observed strategy choices of players by accounting for the latent dynamics in the learning rules. In addition, we show that such an approach can improve our ability to predict observed choices in games.     

A concern about low relative income, and the alignment of utilitarianism with egalitarianism

A utilitarian social planner who maximizes social welfare assigns the available income to those who are most efficient in converting income into utility. However, when individuals are concerned about their income falling behind the incomes of others, the optimal income distribution under utilitarianism is equality of incomes.     

The demographic transition: causes and consequences

This paper develops the theoretical foundations and the testable implications of the various mechanisms that have been proposed as possible triggers for the demographic transition. Moreover, it examines the empirical validity of each of the theories and their significance for the understanding of the transition from stagnation to growth. The analysis suggests that the rise in the demand for human capital in the process of development was the main trigger for the decline in fertility and the transition to modern growth     

Will a government find it financially easier to neutralize a looming protest if more groups are involved?

We study a policy response to an increase in post-merger social stress. If a merger of groups of people is viewed as a revision of their social space, then the merger alters people’s comparators and increases social stress: the social stress of a merged population is greater than the sum of the levels of social stress of the constituent populations when apart. We use social stress as a proxy measure for looming social protest. As a response to the post-merger increase in social stress, we consider a policy aimed at reversing the negative effect of the merger by bringing the social stress of the merged population back to the sum of the pre-merger levels of social stress of the constituent populations when apart. We present, in the form of an algorithm, a cost-effective policy response which is publicly financed and does not reduce the incomes of the members of the merged population. We then compare the financial cost of implementing such a policy when the merger involves more or fewer groups. We show that the cost may fall as the number of merging groups rises.     

The value relevance of cash flows, current accruals, and non-current accruals in the UK

Cash flow statements have a longstanding history as mandated financial statement disclosures, having replaced funds flow statements. The usefulness of such disclosures with respect to one of the main purposes of financial statements—providing information relevant to the assessment of future cash flows and their uncertainty, and the market value of firms—is still subject to debate. This study investigates whether various partitions of earnings involving combinations of a cash flow measure of performance and measures of current accruals and non-current accruals improve the ability to explain market values in the UK relative to using earnings alone. Using a valuation model-based methodology, and employing a UK sample of non-financial firms for the years 1993 to 2007, our results suggest strong support for the assertion that cash flows can have incremental value relevance relative to either earnings or funds flows. By implication, cash flows can have separate value relevance from total and, in particular, current accruals. There is slightly less consistent evidence that current and non-current accruals can have separate value relevance but, nonetheless, the results are still strongly in favour in this respect. Generally, the main source of increase in explanatory power for market values is the separate inclusion of our cash flow measure in the estimated regressions. As a consequence, we conclude that the statement of cash flows in the UK provides information useful to UK investors in valuing firms. Further, requiring a cash flow statement, as opposed to a funds flow statement, improves the information content of financial statements in the UK.     

Social networks and opportunity recognition: A cultural comparison between Taiwan and the United States

This paper investigates the moderating effect of national cultural contexts on the relationship between social networks and opportunity recognition. Data obtained from Taiwan and the United States support the proposition that cultural contexts, specifically the individualism‐collectivism dimension, moderate the relationship between tie strength, structural holes, and opportunity recognition. Results indicate that in the United States, tie strength is negatively associated with opportunity identification and structural holes are positively associated with opportunity identification; whereas in Taiwan we find the opposite. The results also show that the interaction effect between bridging ties and tie strength on opportunity recognition varies depending on the cultural context. Copyright © 2011 John Wiley & Sons, Ltd.     

Work Effort, Moderation in Expulsion, and Illegal Migration

Illegal migrants supply a valuable productive input: effort. But their status as illegals means that these migrants face a strictly positive probability of expulsion. A return to their country of origin entails reduced earnings when the wage at origin is lower than the wage at destination. This prospect induces illegal migrants to exert more work effort than comparable workers who face no such prospect. The lower the probable, alternative earnings, the harsher the penalty that illegal migrants will be subjected to upon their return, for a given probability of expulsion, and the higher the level of effort they will exert at destination. While the home‐country wage that awaits the illegal migrants upon their return is exogenous to the host country, the probability of their return is not. Given the home‐country wage, a higher probability of expulsion will induce illegal migrants to supply more effort. Hence, different combinations of probabilities of expulsion and home‐country wages yield the same level of effort. Thus, variation in the extent to which receiving countries undertake measures aimed at apprehending and expelling illegal migrants can be attributed not to characteristics of the illegal migrants themselves but to a feature that pertains to the illegal migrants’ country of origin.     

The Intergenerational Overlap and Human Capital Formation*

A new microeconomic explanation for the divergent experiences of economies in forming human capital is proposed. It is suggested that the positive effect of a longer life expectancy on human capital formation arises from two separate effects: a life‐expectancy effect and a prolonged intergenerational overlap effect. It is argued that the duration of the overlap between generations and the associated parental support can affect the marginal cost of human capital formation and hence its level: parental support is cheaper than market financing. The strong correlation between the formation of human capital and life expectancy is thus attributed not merely to a higher marginal benefit arising from a longer payback period but also to a lower marginal cost arising from a prolonged intergenerational overlap. Conditions are provided under which a longer overlap results in a higher level of per capita output.     

Adverse selection and the market for annuities

Adverse selection is often blamed for the malfunctioning of the annuities market. We simulate the impact of adverse selection on the consumption allocation of annuitants under alternative parameter values, and explore the resulting welfare implications. We show that, for most parameter values, the welfare losses associated with equilibriums that are subject to adverse selection correspond to a loss of wealth of around one percent in a first-best equilibrium. These losses are smaller than the corresponding losses associated with equilibriums with no access to an annuity market by an order of magnitude of ten. The existence of substitutes for annuities such as a bequest motive or a social security system intensifies the adverse selection but reduces its welfare impact.