Asymptotic expected number of Nash equilibria of two-player normal form games

The formula given by McLennan [The mean number of real roots of a multihomogeneous system of polynomial equations, Amer. J. Math. 124 (2002) 49–73] is applied to the mean number of Nash equilibria of random two-player normal form games in which the two players have M and N pure strategies respectively. Holding M fixed while N→∞, the expected number of Nash equilibria is approximately . Letting M=N→∞, the expected number of Nash equilibria is , where is a constant, and almost all equilibria have each player assigning positive probability to approximately 31.5915 percent of her pure strategies.     

Scheduling jobs with values dependent on their completion times

The paper concerns two scheduling problems with job values and losses of job values (costs) dependent on job completion times. In the first problem, we consider scheduling jobs with stepwise values in parallel processor environment. In the stepwise value, there is given a number of moments at which the job value decreases and between them the job value is constant (thus, the value deteriorates over time). The maximized criterion is the total job value. We prove strong NP-hardness of a single processor case of the problem and construct a pseudo-polynomial time algorithm for a special case with fixed number of unrelated parallel processors and fixed number of common moments of job value changes. Additionally, for uniform and unrelated parallel processors we construct and experimentally test several heuristic algorithms based on the list strategy. The second problem is a single processor one with piecewise linear losses of job values (the loss increases over time). The minimized criterion is the total loss of job value. We prove strong NP-hardness of the problem and existence of a pseudo-polynomial time exact algorithm for its special case. We also construct some heuristic algorithms for this problem and verify experimentally their efficiency.     

Navigating Through the Spatial and Institutional Contradictions of Public Audit Oversight

Abstract

This study revisits the actions of the French audit regulator (H3C) and the French profession over the 2003–2013 period in response to the regulatory transformations that occurred both in the national and transnational space. Our analysis highlights how these actors have navigated through the spatial and institutional contradictions that characterize public audit oversight in order to manage variable and opposing interests from one space to another. In particular, we show how conflicting national and transnational conceptions of professionalism and commercialism have developed to support different regulatory agendas. Our analysis of the spatial dynamics of public audit oversight allows us to propose a much less confrontational representation of the relationships between public audit regulators and the audit profession. We maintain that more attention should be paid to the spatial variants of commercialism and professionalism to better understand the development of audit regulation.     

Optimal portfolio allocation under the probabilistic VaR constraint and incentives for financial innovation

We characterize the investor’s optimal portfolio allocation subject to a budget constraint and a probabilistic VaR constraint in complete markets environments with a finite number of states. The set of feasible portfolios might no longer be connected or convex, while the number of local optima increases exponentially with the number of states, implying computational complexity. The optimal constrained portfolio allocation may therefore not be monotonic in the state–price density. We propose a type of financial innovation, which splits states of nature, that is shown to weakly enhance welfare, restore monotonicity of the optimal portfolio allocation in the state-price density, and reduce computational complexity. We are grateful to Ken Kavajecz and seminar participants at Harvard Business School, London School of Economics, Maastrict University, ZEI Bonn, and Danske Bank Symposium on Asset allocation and Value-at-Risk: Where Theory Meets Practice for comments on an earlier version of this paper. We also benefitted from the suggestions of two anonymous referees. Our papers can be downloaded from www.RiskResearch.org.     

Conclusion: the central role of human and social capital

Abstract

The roles of human and social capital in fostering societal stability and progress are analyzed here in the basis of a series of empirical studies in the Asian region, each illuminating a separate aspect of the overall question: how does culture play a part in the socio-political economy? The studies cover the response of people in the Indonesian tourism industry to radical market changes; the impact of western-inspired management tools on workers in the Thai and Vietnamese industrial complexes; the ways in which credentials play a part in regional professional networking; the impact of worsening environment threats from flooding on workforce location and organizing; the not-always-benign workings of regional business networks of personal reciprocity; and the managerial ideology of many Indonesian companies. Human and social capital are illustrated here as largely invisible but still significant catalysts in the complex dynamics of countries striving to establish their own formulae for prosperity.     

China’s reform and opening process: a new model of political economy?

The reform and opening process has led to an impressive economic development which saw China becoming the second-largest economy in the world. This development resulted in an ongoing discussion about the nature of the Chinese state and reinvigorated the discussion of the role the state plays in national development. Addressing the challenges of how to interpret the contemporary Chinese state, it will be argued that a particular institutional setting has a strong impact on future developments, and China’s reform process provides an insightful example in this regard. Indeed, we should remember that in the aftermath of the Cultural Revolution the Communist Party of China faced both a fundamental political crisis and an economic crisis of underperformance. In order to develop a deeper insight into the political-economic changes, we can observe during the reform process, a comprehensive analysis is required, one which focuses on the changes in China’s political-economic regime.     

Changing management roles in the Scottish NHS: implications for management learning and development

The UK government's austerity means that public service providers, such as the National Health Service (NHS), are looking for efficiencies from service integration and collaborative working. This paper highlights how NHS (Scotland) management is coping with these changes and how the role of the manager and the nature of management development is being transformed. New forms and processes of management learning and development are needed for collaborative partnership working in multi-agency public service environments.     

Expanding Socio-economics in Four Dimensions

Abstract

During the last decades the rapid progress in the fields of complex modelling and simulationor in the cognitive and the life sciences was not accompanied by a similar advancement of the socio-economic research tradition itself. Socio-economics as a hybrid field for the complex dynamics of modern societies across their micro-, meso- and macro-levels has still a long way to go in order to reach its full potential. The present article provides a general outline for expanding and advancing socio-economics along four different dimensions which should be able to produce a significant take-off for socio-economic theories, models, methods and mechanisms.     

基于分形维的经济均衡理论研究

鉴于传统的一般均衡理论具有严格的假设条件,无法准确考察市场的真实状况,借助复杂性科学中的分形理论,建立了经济系统的分形均衡。分形均衡允许市场中存在多边交易和拥有先天禀赋的经济当事人从事低买高卖的套利交易,对经济均衡的描述更接近于经济现实。通过比较和分析分形均衡和一般均衡的区别与联系得出了一般均衡是分形均衡的一个特例的结论,得到了分形均衡下的福利经济学定理。