Evolutionary economics goes mainstream: A review of the theory of learning in games

The Theory of Learning in Games by Fudenberg and Levine surveys a key branch of evolutionary economics from a mainstream perspective. Its publication provides an opportunity to reassess the prospects and goals for evolutionary economics.     

Evolutionary dynamics on infinite strategy spaces

Summary. The study of evolutionary dynamics was so far mainly restricted to finite strategy spaces. In this paper we show that this unsatisfying restriction is unnecessary. We specify a simple condition under which the continuous time replicator dynamics are well defined for the case of infinite strategy spaces. Furthermore, we provide new conditions for the stability of rest points and show that even strict equilibria may be unstable. Finally, we apply this general theory to a number of applications like the Nash demand game, the War of Attrition, linear-quadratic games, the harvest preemption game, and games with mixed strategies. Received: June 25, 1999; revised version: January 31, 2000     

Evolutionary dynamics and backward induction

The backward induction (or subgame-perfect) equilibrium of a perfect information game is shown to be the unique evolutionarily stable outcome for dynamic models consisting of selection and mutation, when the mutation rate is low and the populations are large.     

Cournot–Nash equilibria in continuum games with non-ordered preferences

In the usual framework of continuum games with externalities, we substantially generalize Cournot–Nash existence results [Balder, A unifying approach to existence of Nash equilibria, Int. J.Game Theory 24 (1995) 79–94; On the existence of Cournot–Nash equilibria in continuum games, J. Math. Econ. 32 (1999) 207–223; A unifying pair of Cournot–Nash equilibrium existence results, J. Econ. Theory 102 (2002) 437–470] to games with possibly non-ordered preferences, providing a continuum analogue of the seminal existence results by Mas-Colell [An equilibrium existence theorem without complete or transitive preferences, J. Math. Econ. 1 (1974) 237–246], Gale and Mas-Colell [An equilibrium existence theorem for a general model without ordered preferences, J. Math. Econ. 2 (1975) 9–15], Shafer and Sonnenschein [Equilibrium in abstract economies without ordered preferences, J. Math. Econ. 2 (1975) 345–348], Borglin and Keiding [Existence of equilibrium actions and of equilibrium: a note on the “new” existence theorems, J. Math. Econ. 3 (1976) 313–316] and Yannelis and Prabhakar [Existence of maximal elements and equilibria in linear topological spaces, J. Math. Econ. 12 (1983) 233–245].     

Transient and asymptotic dynamics of reinforcement learning in games

Reinforcement learners tend to repeat actions that led to satisfactory outcomes in the past, and avoid choices that resulted in unsatisfactory experiences. This behavior is one of the most widespread adaptation mechanisms in nature. In this paper we fully characterize the dynamics of one of the best known stochastic models of reinforcement learning [Bush, R., Mosteller, F., 1955. Stochastic Models of Learning. Wiley & Sons, New York] for 2-player 2-strategy games. We also provide some extensions for more general games and for a wider class of learning algorithms. Specifically, it is shown that the transient dynamics of Bush and Mosteller's model can be substantially different from its asymptotic behavior. It is also demonstrated that in general—and in sharp contrast to other reinforcement learning models in the literature—the asymptotic dynamics of Bush and Mosteller's model cannot be approximated using the continuous time limit version of its expected motion.     

The dynamics of firms in a micro-to-macro model: The role of training, learning and innovation

We analyze the co-evolution of the performances of firms and of the economy in an evolutionary micro-to-macro model of the Swedish economy. The model emphasizes the interactions between human capital (or competences) and technological change at the firm level and their effects on aggregate growth, taking into account the micro-macro feedbacks. The model features learning-by-doing, incremental and radical innovations, user-producer learning at the firm level, and a change in the techno-economic paradigm. We find that there is an optimal sequence for the firm to allocate their resources: (1) build a general human capital stock before the change in the techno-economic paradigm, (2) spend on R&D, and (3) invest in specific human capital. Innovators fare better than imitators on average, not only because they innovate, but also because they build a competence base, which supports the learning from other firms.     

The power of ESS: An experimental study

Abstract. Our experimental design mimics a traditional evolutionary game framework where players are matched pairwise to play a symmetric 33 bimatrix game that has two Nash equilibria. One equilibrium is an evolutionary stable state, or ESS; the other is an equilibrium in dominated strategies. Our primary experimental result is the observation that the ESS becomes extremely attractive when subjects have minimal information about the payoff functions, although the dominated equilibrium assures the highest equilibrium payoff. The attractiveness of the ESS is only moderate when players are completely informed about the 33 payoff matrix. Correspondence to: S.K. Berninghaus     

The Role of Absolute Continuity in “Merging of Opinions” and “Rational Learning”

D. Blackwell and L. Dubins (1962, Ann. Math. Statist.38, 882–886) showed that opinions merge when priors are absolutely continuous. E. Kalai and E. Lehrer (1993, Econometrica61, 1019–1045) use this result to show that players in a repeated game eventually play like a Nash equilibrium. We provide an alternative proof of merging of opinions that clarifies the role of absolute continuity while casting doubt on the relevance of the result. Persistent disagreement, the opposite of merging, allows the construction of a sequence of mutually favorable “bets.” By a law of large numbers, both agents are certain they will win these bets on average. This certain disagreement violates absolute continuity. Journal of Economic Literature Classification Numbers: C11, C69, C72, D83.     

The instability principle revisited: an essay in Harrodian dynamics

Abstract

Harrod's contribution to economic dynamics is very often reduced to the dynamic equation whose character is unstable. Growth theory and cycle theory based on Harrod's contributions aimed at reducing this instability. Following Harrod, who was strongly opposed to the ‘knife-edge’ interpretation, we define the warranted rate of growth as a ‘moving equilibrium’ and focus on its interaction with the effective rate of growth. Our simple Harrodian model generates various dynamics from stable path, to growth cycle and corridor of stability.     

Investing in innovation to enable global competitiveness: The case of Portugal

The concept of leveraged innovation to create wealth within regions, countries and economies is not a new concept. Competitiveness of regions in the increasingly global economy now requires not only that innovation be present within a regional economy, but also that mechanisms exist to effectively transfer those developed innovations from the research laboratory to the marketplace. It is surmised that increased innovation, and the transfer of this innovation, can lead to increased prosperity of regions (Porter). As such, many developing countries around the world are looking at investments in innovation as a means to spur regional economic development and wealth creation while preserving national competitiveness. That said, innovation investment is by no means an exact science. Historically, typical “innovation investments” have been focused on “tangible” capital infrastructure projects such as the establishment of incubators and science parks. While many regions point to the existence of such tangible innovation assets as proof of investment in innovation, it has been discovered that in some cases, an investment in the capacity building of human networks to engage in technology transfer and commercialization related activities can act as a stronger facilitator for the transformation of economies and produce a larger return on investment in innovation for the country. Given not only Portugal's, but other regions throughout the EU-Zone, recent financial and economic woes, it bears examination on whether investing in the innovation and technology transfer knowledge and “know how” of key human networks within a struggling economy is a worthwhile investment for financially struggling countries during the current times of fiscal crisis.     

Technology clustering based on evolutionary patterns: The case of information and communications technologies

Technology trend analysis anticipates the direction and rate of technology changes, and thus supports strategic decision-making for innovation. As technological convergence and diversification are regarded as emerging trends, it is important to compare the growth patterns of various technologies in a particular industry to help understand the industry characteristics and analyse the technology innovation process. However, despite the potential value of this approach, conventional approaches have focused on individual technologies and paid little attention to synthesising and comparing multiple technologies. We therefore propose a new approach for clustering technologies based on their growth patterns. After technologies with similar patterns are identified, the underlying factors that lead to the patterns can be analysed. For that purpose, we analysed patent data using a Hidden Markov model, followed by clustering analysis, and tested the validity of the proposed approach by applying it to the ICT industry. Our approach provides insights into the basic nature of technologies in an industry, and facilitates the analysis and forecasting of their evolution.     

The dynamics of immigrant participation in entitlement programs: evidence from Canada, 1993–2007

Abstract Using uniquely rich Canadian administrative data from the 1993–2007 period, I find no evidence of rising Employment Insurance (EI) participation across recent‐immigrant cohorts and no evidence of rising EI participation with number of years spent in Canada beyond the short period following entrance into the Canadian labour market. I also find little evidence of the rising immigrant participation in Social Assistance (SA), either across recent arrival cohorts or with years in Canada. The results do not appear to be seriously affected by emigration and attrition within each immigrant cohort. While the immigrant participation in traditional ‘welfare’ programs such as Social Assistance has generally declined from 1993 to 2007, I show that Canada Child Tax Benefit and other federal and provincial programs aimed at providing financial assistance to families with children have become a major source of transfer income to immigrant families.     

Demand articulation in intermediary organisations: The case of orphan drugs in the Netherlands

Several aspects of a technology are uncertain when it is in its emerging phase, e.g. the demand for a technology. Demand articulation processes are regarded as important, but till now it is often treated as a black box. We present a conceptual framework for the analysis of demand articulation processes inside intermediary organisations, and in interaction with other stakeholders. The empirical basis of this framework is provided by a case study involving an event history analysis, in which the occurrence and the contents of demands are followed over time. We studied the processes within the ‘Dutch Steering Committee Orphan Drugs’, an intermediary organisation that supports new and emerging technologies in the context of orphan drugs. Our results show that due to the activity of the intermediary organisation demand articulation occurred, that interactions exist between the demands and the organisation's underlying values, and that in interaction with other actors a debate on the reimbursement of new drugs is settled. The major contribution of this paper lies in the design of a framework for studying demand articulation processes in intermediary organisations and the resulting impacts on the development of emerging technologies. In addition, the paper provides insights in the possibilities to reinforce the role of the intermediary organisation studied.     

Cyclical industrial dynamics: The case of the global semiconductor industry

In this paper, we focus on firms' cyclical behavior in the global semiconductor industry. We demonstrate that these cyclical dynamics at the industry level differ from both the business cycles at the macro-economic level and the lengthy industrial technology life cycle. We discuss a range of possible causes of those cyclical industrial dynamics, including the general business cycles as well as industry-specific factors. Our study reports three stylized facts in relation to the cyclical industrial dynamics in the global semiconductor industry: first, the industry is more concentrated during the industry cycle downturns; second, the capital investment of the industry as a whole follows a ‘pro-cyclical’ pattern; and third, firms that pursued a ‘counter-cyclical’ capital investment strategy during the industry cycle downturn have reaped rewards during the subsequent cycle period. These facts suggest that cyclical industrial dynamics, especially the industry cycle downturns, play an important role in firm rivalry, strategic positioning and industrial growth.     

The convergence dynamics of a transition economy: The case of the Czech Republic

In this paper we develop a two-country dynamic general equilibrium model by means of which we seek to explain the long-run path of a transition economy. The model's novel feature is the inclusion of quality investment in the standard framework of applied general equilibrium two-country models. This feature is necessary to explain the trend in the real exchange rate. We present an application to the Czech economy.     

Truth,Trust, and Sanctions: On Institutional Selection in Sender–Receiver Games*

We have conducted a laboratory experiment to investigate the impact of institutions and institutional choice on truth‐telling and trust in sender–receiver games. We find that in an institution with sanctioning opportunities, receivers sanction predominantly after having trusted lies. Individuals who sanction are responsible for truth‐telling beyond standard equilibrium predictions, and they are more likely to choose the sanctioning institution. Sanctioning and non‐sanctioning institutions coexist if their choice is endogenous, and the former shows a higher level of truth‐telling but lower material payoffs. Our experimental findings are consistent with logit agent quantal response equilibrium with two distinct groups of individuals: one consisting of subjects who experience non‐monetary lying costs as senders and non‐monetary costs when being lied to as receivers, and the other consisting of payoff maximizers.     

The China–US Trade War: Deep‐Rooted Causes,Shifting Focus and Uncertain Prospects

The USA has waged a trade war against China, whose rapid rise has come to be seen as a threat to US hegemony. Besides imposing additional tariffs on imported Chinese products, the USA is also tightening restrictions on the transfer of technology to China and the business activities of some Chinese high‐tech companies, notably Huawei. The escalation of the trade war into a tech war could lead to a decoupling between the US and Chinese economies, if not a world economy divided into two economic blocs that centered on them.     

股票市场系统动力学分析：以上海股票市场为例

本文突破了传统经济理论研究的线性框架,视股票为一非线性系统,运用分形、混沌等复杂性理论对上海股票市场的系统动力学特征进行实证研究,得出了上海股票市场系统的分形特征、复杂性程度、系统演化类型及稳定性,最后,探讨了这些结论对股票市场的理论与实践意义。     

The growth–inequality association: Government ideology matters

This note suggests that the association between income inequality and economic growth rates might arguably depend on the political ideology of incumbent governments. Estimates indicate that under leftwing governments, inequality is negatively associated with growth while the association is positive under rightwing governments. This may provide a qualification to recent studies of inequality.