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Robert Murdoch Anderson (born 1951) is Professor of Economics and of Mathematics at the University of California, Berkeley. He is director of the Center for Risk Management Research, University of California, Berkeley and he was chair of the University of California Academic Senate 2011-12. ==Research== Anderson’s nonstandard construction of Brownian motion is a single object which, when viewed from a nonstandard perspective, has all the formal properties of a discrete random walk; however, when viewed from a measure-theoretic perspective, it is a standard Brownian motion. This permits a pathwise definition of the Itô Integral and pathwise solutions of stochastic differential equations. Anderson’s contributions to mathematical economics are primarily within General Equilibrium Theory. Some of this work uses nonstandard analysis, but much of it provides simple elementary treatments that generalize work that had originally been done using sophisticated mathematical machinery. The best known of these papers is the 1978 ''Econometrica'' article cited, which establishes by elementary means a very general theorem on the cores of exchange economies. In the 2008 ''Econometrica'' article cited, Anderson and Raimondo provide the first satisfactory proof of existence of equilibrium in a continuous-time securities market with more than one agent. The paper also provides a convergence theorem relating the equilibria of discrete-time securities markets to those of continuous-time securities markets. It uses Anderson’s nonstandard construction of Brownian and properties of real analytic functions. Recently, Anderson has focused on the analysis of investment strategies, and his work relies on both theoretical considerations and empirical analysis. In an article published in the ''Financial Analysts Journal'' in 2012 and cited below, Anderson, Bianchi and Goldberg found that long-term returns to risk parity strategies, which have acquired tens of billions of dollars in assets under management in the wake of the global financial crisis, are not materially different from the returns to more transparent strategies once realistic financing and trading costs are taken into account; they do well in some periods and poorly in others. A subsequent investigation by the same research team found that returns to dynamically levered strategies such as risk parity are highly unpredictable due to high sensitivity of strategy performance to a key risk factor: the co-movement of leverage with return to the underlying portfolio that is levered. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Robert M. Anderson (mathematician)」の詳細全文を読む スポンサード リンク
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