Exact arbitrage and portfolio analysis in large asset markets

Summary. We provide a detailed portfolio analysis for a financial market with an atomless continuum of assets. In the context of an exact arbitrage pricing theory (EAPT), we go beyond the characterization of the existence of important portfolios (normalized riskless, mean, cost, factor and mean-variance efficient portfolios) to furnish exact portfolio compositions in terms of explicit portfolio weights. Such an analysis has not been furnished before in the context of the asymptotic arbitrage pricing theory (APT). We also characterize conditions under which a mean-variance efficient portfolio is a benchmark portfolio used in the EAPT to proxy essential risk. We illustrate our results with several examples of specific financial markets. Received: May 30, 2002; revised version: August 15, 2002 RID="*" ID="*"Some of the results reported here constituted part of Cowles Foundation Discussion Paper– No. 1139 circulated under the title “Hyperfinite Asset Pricing Theory”; additional results were obtained when Sun visited the Department of Economics at Johns Hopkins University during March 2002. This paper was presented at the Conference on Economic Design held at NYU on July 6–9, 2002 Correspondence to: M. A. Khan     

The critical discount factor as a measure for cartel stability?

This paper considers the stability of tacit collusion in price setting duopolies with repeated interaction. The minimum discount factor above which tacit collusion can be sustained in a subgame perfect equilibrium is called the critical discount factor δ*. In addition, δ* is often used as an intuitive measure for the stability of a tacit cartel, assuming that a collusive equilibrium is more difficult to sustain when δ* increases. However, according to standard theory the distance δ − δ* between the actual and the critical discount factor does not matter for stability as long as δ > δ*. This paper contributes experimental evidence that supports the intuitive idea that a larger critical discount factor makes collusion a less likely outcome.      

Why the structure of capital and the useful lives of its components matter: A test based on a model of Austrian descent

This paper centers on the structure of capital and the useful lives of its components by considering an economy with two representative firms, one producing a necessity and another producing a luxury. This difference determines their reinvestment opportunities. Therefore, while the one applies replacement, the other adopts scrapping. However, as these capital policies lead to different service lives, the analysis confronts the issues raised by Miller (Review of Income and Wealth 29:284–296, 1982, Review of Income and Wealth 36:67–82, 1990) and deals with them by drawing on Haavelmo’s (A study in the theory of investment, Chicago: The University of Chicago Press, 1960) suggestions regarding the aggregation of capital. Among other findings, it turns out that the simulation results are highly robust, thus demonstrating that real-world implications may be even stronger than strictly suggested by the model.

Different employment of capitals in vertically integrated sectors: Smith after the Austrians

The Austrian notion of stages of production and the related principle of the greater productivity of roundabout methods, plus the neo-Austrian notions of vertical integration and vertical division of labour, are utilized in this paper in an attempt to reconstruct Smith’s convoluted arguments on the different employment of capitals in chapter 5, book 2, of the Wealth of Nations. Smith’s arguments are first clarified in the light of the two concepts of capital (money capital and productive capital), of the two aspects of productive labour (living labour and dead labour) and of the two viewpoints (of an individual and of society) on which Smith’s theory is based. The results of this clarification are then used to prove that, independently of Smith’s own words but in consistency with his theory, the notions of “quantity” and “productivity” of productive labour have a “vertical”, as well as a “horizontal”, dimension so that they fit both the input–output scheme and the Austrian framework of time-consuming methods of production.     

On not doing due diligence: Bagus and Howden on free banking

In their recent article in the Quarterly Journal of Austrian Economics, Bagus and Howden (2010) present “quibbles” with fractional-reserve free banking. Specifically, they raise what they call “unaddressed issues” in this system, with a particular emphasis on Selgin (1988). We deem their arguments to be more substantial than “quibbles” and see them as part of a longstanding debate about fundamental aspects of monetary theory. We respond to their objections and attempt to specify how debate between the two sides might proceed more productively.     

The complex role of Karl Menger in the Viennese economic theory

This paper is focused on the relation between economics and mathematics in the Wiener Kreis and in the Mathematische Kolloquium. In the 1930s, the economic theory became a part of Otto Neurath’s project of Unified Science, but in Menger’s Kolloquium, the reformulation of the model of general economic equilibrium (GEE) distanced it greatly from the Kreis’s neopositivist point of view. The role of Karl Menger is fundamental to understand the methodological and epistemological cleavage that arose in Mathematische Kolloquium. His role was very important also for understand the relation between the economic theory of the Austrian school and mathematical economics.

The Costs of Implementing the Majority Principle: The Golden Voting Rule

In a context of constitutional choice of a voting rule, this paper presents an economic analysis of scoring rules that identifies the golden voting rule under the impartial culture assumption. This golden rule depends on the weights β and (1−β) assigned to two types of costs: the cost of majority decisiveness (‘tyranny’) and the cost of the ‘erosion’ in the majority principle. Our first main result establishes that in voting contexts where the number of voters n is typically considerably larger than the number of candidates k, the golden voting rule is the inverse plurality rule for almost any positive β. Irrespective of n and k, the golden voting rule is the inverse plurality rule if β ≥ 1/2 .. This hitherto almost unnoticed rule outperforms any other scoring rule in eliminating majority decisiveness. The golden voting rule is, however, the plurality rule, the most widely used voting rule that does not allow even the slightest ‘erosion’ in the majority principle, when β=0. Our second main result establishes that for sufficiently “small size” voting bodies, the set of potential golden rules consists at most of just three rules: the plurality rule, the Borda rule and the inverse plurality rule. On the one hand, this finding provides a new rationalization to the central role the former two rules play in practice and in the voting theory literature. On the other hand, it provides further support to the inverse plurality rule; not only that it is the golden rule in voting contexts, it also belongs, together with the plurality rule and the Borda method of counts, to the “exclusive” set of potential golden voting rules in small committees. We are indebted to Jim Buchanan, Amichai Glazer, Noa Nitzan, Ken Shepsle, and an anonymous referee for their useful comments.     

On discounted dynamic programming with unbounded returns

In this paper, we apply the idea of k-local contraction of Rincón-Zapatero and Rodriguez-Palmero (Econometrica 71:1519–1555, 2003; Econ Theory 33:381–391, 2007) to study discounted stochastic dynamic programming models with unbounded returns. Our main results concern the existence of a unique solution to the Bellman equation and are applied to the theory of stochastic optimal growth. Also a discussion of some subtle issues concerning k-local and global contractions is included.     

The role of ethics and product personality in the intention to purchase organic food products: a structural equation modeling approach

The aim of the present study is to examine the role of ethical dimensions and product personality in the purchasing intention of organic food products. The Prospect method (Caprara et al. in Test Psicomet Metodol 7(3–4):113–128, 2000), which integrates the Five factors model of personality (cf. Digman in Annu Rev Psychol 41(1):417–440, 1990) and the Theory of planned behavior (Ajzen in Organ Behav Hum Decis Process, 50(2):179–211, 1991) extended to an ethical dimension, was employed, by using a Structural Equation Modeling approach. Results showed that moral norms—i.e., personal beliefs regarding what is right or wrong (Parker et al. in Br J Soc Psychol, 34(2):127–137, 1995)—can be considered the main motivator of purchasing intention, and they are, in turn, affected by subjective norms and product personality traits of Naturalness and Authenticity. Marketing implications for firms operating in the organic food industry are discussed, in their intent to shift from a “niche” market to a broader diffusion of these products.     

A modified logit model for time series with an application to the pricing behaviour of manufacturing firms in Australia

The modified logit model (Amemiya and Nold, 1975) is generalised to the case where the error term is autocorrelated. The asymptotic distribution (as n →∞ and T →∞) of a feasible GLS estimator of β is derived. Tests of linear restrictions on β and the significance of ρ are presented. The results of the applied work suggest that the factors which explain the pricing behaviour of manufacturing firms, as reported in the tendency survey conducted by the Australian Chamber of Commerce and Industry and the Westpac Banking Corporation, include historical inflation rates of up to 7 quarters and capacity utilisation. First version received: March 2001/Final version received: July 2002 RID="*" ID="*"  The first draft of this paper was written while the author was on study leave at the Department of Econometrics, University of Sydney, Australia.     

Exchange and evolution

This paper offers an extension of the distinction of [Kohn, Cato Journal, 24:303–339 (2004)] between the two paradigms of modern economic theory—value and exchange—as derived from the generic–operant framework of [Dopfer and Potts, The general theory of economic evolution, Routledge, London, (2007)]. I argue that Austrian and evolutionary economics can be analytically unified about a general framework of rule coordination and change that I shall call the generic value paradigm. This is an analytic generalization of Kohn’s “exchange paradigm” that will allow us to redefine his conception of the “value paradigm” as the operational value paradigm in terms of the economics of known and fully exploited opportunities. The generic value paradigm, in turn, underpins the economics of the growth of knowledge and the evolution of the economic order as an open-system process due to the origination, adoption, and retention of novel generic rules. Austrian economics is then circumscribed as a special case of the more general “generic” analysis of the coordination and evolution of economic rules.      

累积创新中的内生许可证

This paper analyzes the endogeneity of licensing arrangements in cost-reducing cumulative innovation. There exists the following results. First, for the first-generation patentee, ex post licensing matters for rent extraction while ex ante licensing matters for efficiency. Second, if the second-generation innovator does not exit, then the firms’ profits as well as social welfare are all irrelevant to whether ex ante licensing is allowed. Third, costly litigation can occur on the equilibrium path and its occurrence is also irrelevant to ex ante licensing. Interestingly, the conditional probability of the first-generation patentee winning litigation first decreases and then increases in patent breadth. Fourth, optimal patent breadth depends on the tradeoff between litigation costs and antitrust effect. Translated from Shijie Jingji Wenhui 世界经济文汇 (World Economic Papers), 2006, (6): 1–29     

Identifying the dynamic home market effect in a three-country model

The home market effect (HME) is a distinguishing feature of the “new” trade theory. It is customarily defined as disproportionate positive causation from expenditure to production. Recently it has been argued that this dynamic definition of the HME is problematic in a multi-country framework, because it neglects third country effects. In this paper, we show that more than one exogenous parameter change is needed to overturn the dynamic HME. An isolated increase in the size of the home country will unambiguously lead to an over-proportional domestic industry expansion. We then illustrate with some specific scenario what type of third country effects can “swamp” the HME.      

Legislative output and the Constitutional Court in Italy

This paper considers the impact of the Constitutional Court on legislative output in Italy. Following Tsebelis’ ((2002) Veto Players: Foundations of Institutional Analysis. Princeton: Princeton University Press) veto players model and the stylised facts as regards the Italian Constitutional Court’s activity, this paper presents a multi-stage game in the spirit of Gely and Spiller ((1990). A rational choice theory of supreme court statutory decisions with applications to the state farm and grove city cases. Journal of Law, Economics, and Organization 6, 263–300). In the first stage, the legislative veto players, namely the parties in government, choose whether to change or not the policy status quo by enacting new legislation. In the second stage, the Court makes a constitutional interpretation: it decides whether to alter or not the outcome of the first stage through a sentence of constitutional illegitimacy. The Court has both the power of annulling laws and a limited power of creating new legally binding norms. Moreover, in the third stage, a constitutional law voted by a parliamentary qualified majority can overturn the Court’s decisions. The model predicts that the presence of the Court lowers legislative policy change and tests this prediction with 1956–2001 annual time series data for Italy.

中间选民理论在农民工市民化政策制定中的运用——基武汉市436位农民工的实证研究

The Median Voter Theory is an important theory in the neo-political economics. It can be applied to solve the collective choice paradox and analyze the policy making for the citizenization of peasant workers. Adopting the method of factor analysis, this paper makes an empirical study on peasant workers’ preference for citizenization. We find that there is a paradox of future residence preference and self-identification in peasant workers. On this basis, peasant workers are divided into 5 subgroups, and it is found that the median undecided peasant workers are the median voters. Based on the analysis of the median undecided peasant worker’s complaints and appeals, it is proposed that the country should strengthen the vocational training system, establish a social security system, expand the agricultural reform and promote educational reform to facilitate the citizenization of peasant workers. __________ Translated from Guanli Shijie 맜理世界 (Management World), 2007, (4): 40–67     

Politics, selection and the public interest: Besley’s benevolent despot

This paper is an assessment of Besley’s attempt to orchestrate a rapprochement between public choice theory and conventional public economics—with its characteristic normative orientation towards public policy. In this paper, I first try to set the Besley enterprise in the context of earlier work—focussing on my own work with Buchanan (The Power to Tax and The Reason of Rules). I then direct attention to three aspects of the Besley enterprise: whether selecting for competence depends on having solved the motivation problem (either by incentive or selection means), how selection mechanisms might be supported institutionally and the possibility that selection processes might create incentives at the ‘dispositional’ level.

Rationality,constitutions, and the ethics of rules

It seems clear that individuals stand to mutually benefit, in a wide variety of situations, from structuring their interactions in terms of constitutional practices. But a commitment to treat the rules defining such practices as setting real constraints on choice—a commitment to what could be characterized as an “ethics of rules”—is hard to reconcile with the standard, consequentialist theory of rational choice, which requires, in effect, that individuals regard any rule as providing no more than a “maxim” for choice. Such a theory of rational choice, then, constrains individuals to settle for a second best outcome in which choice is aligned with practice rules by means of strategies of precommitment and threats. The outcome is second best because such methods yield only partial alignment, and involve the expenditure of scarce resources, as well as a sacrifice of flexibility and freedom. To say this, however, is to identify the corresponding theory of rational choice as havingconsequentially unacceptable implications. A modified theory of choice is presented, which is still consequentially oriented, but which assesses consequences in a more holistic manner. It is then argued that this modified theory can provide a rational choice grounding for the needed “ethics of rules.” The author would like to thank three anonymous referees for their very helpful comments and suggestions.     

An analysis of China’s global industrial competitive strength based on vertical specialization

At the beginning of the 1990s, China witnessed an increase in its international competitive strength in technology-intensive and capital-intensive industries, and a decrease in strength in labor-intensive industries. This paper analyzes the effect of vertical specialization on China’s international industrial competitive strength, explores how different industries have varying reactions under its implementation, and employs theory to explain the possible causes of these reactions. It is found that vertical specialization can help to strengthen China’s global industrial competitiveness, and on that basis, some suggestions are given on how to improve that competitiveness. __________ Translated from Shijie Jingji 世界经济 (Journal of World Economy), 2006(5): 12–21     

Returns of Small Growth Stocks: An Empirical Analysis

I investigate the mean reversion tendency of small growth stocks. Using a carefully articulated research design employing established and empirically tested principles, my findings should support or refute the anecdotal evidence that small growth stocks make superior investments. The primary motivation for the study springs from the documented differential preference among investors for value and growth stocks. Despite evidence that value stocks tend to outperform growth stocks, investors retain strong interest in growth stocks. Yet in examining the performance of Business Week’s (BW), smaller capitalization companies (called “Hot Growth Companies”) with respect to the overall financial market, Bauman et al. [2002] found positive excess returns in the pre-publication period but negative excess returns in the post-publication period. A limitation of their study is that their analyses relied on only three criteria: sales, BW rank and return on capital, which do not represent completely a firm’s financial health. I replicate Bauman et al.’s study but use a more robust and representative variable set to test the mean reversal hypothesis — Forbes’ financial criteria — and I focus on six variables. In the current study, I look at 4,200 companies listed in Forbes from 1980 to 2000. The results of the expanded study substantiate Bauman et al.’s [2002] study showing that there are positive excess returns in the pre-publication period, but negative excess returns in the post-publication period. An expanded future study will look at five additional variables to see if they make a significant difference on the effects of the returns of small growth stocks.