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DSGE Models, Detrending, and the Method of Moments DSGE模型,去趋势和矩量法
Pub Date : 2020-01-06 DOI: 10.2139/ssrn.3322026
Charles Olivier Mao Takongmo
One important question in the DSGE literature is whether we should detrend data when estimating the parameters of a DSGE model using the moment method. It has been common in the literature to detrend data in the same way the model is detrended. Doing so works relatively well with linear models, in part because in such cases the information that disappears from the data is usually related to the parameters that also disappear from the detrended model. Unfortunately, in heavy non-linear DSGE models, parameters rarely disappear from detrended models, but information does disappear from the detrended data. Using a simple real business cycle model, we show that both the moment method estimators of parameters and the estimated responses of endogenous variables to a technological shock can be seriously inaccurate when detrended data are used in the estimation process. Using a dynamic stochastic general equilibrium model and U.S. data, we show that detrending the data before estimating the parameters may result in a seriously misleading response of endogenous variables to monetary shocks. We suggest building the moment conditions using raw data, irrespective of the trend observed in the data.
DSGE文献中的一个重要问题是,当使用矩量法估计DSGE模型的参数时,我们是否应该去趋势数据。在文献中,以与模型相同的方式去趋势化数据是很常见的。这样做在线性模型中效果相对较好,部分原因是在这种情况下,从数据中消失的信息通常与从去趋势模型中消失的参数相关。不幸的是,在重型非线性DSGE模型中,参数很少从去趋势模型中消失,但信息确实从去趋势数据中消失。使用一个简单的真实经济周期模型,我们表明,当在估计过程中使用非趋势数据时,参数的矩法估计和内生变量对技术冲击的估计响应都可能严重不准确。使用动态随机一般均衡模型和美国数据,我们表明在估计参数之前对数据进行去趋势化可能会导致内生变量对货币冲击的严重误导反应。我们建议使用原始数据建立力矩条件,而不考虑在数据中观察到的趋势。
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引用次数: 4
Shifting Policy Strategy in Keynesianism 凯恩斯主义政策策略的转变
Pub Date : 2019-11-20 DOI: 10.2139/ssrn.3635940
A. Noguchi
This paper analyzes the evolution of Keynesianism making use of concepts offered by Imre Lakatos. The Keynesian "hard core" lies in its views regarding the instability of the market economy, its "protective belt" in the policy strategy for macroeconomic stabilization using fiscal policy and monetary policy. Keynesianism developed as a policy program to counter classical liberalism, which attributes priority to the autonomy of the market economy and tries to limit the role of government. In general, the core of every policy program consists in an unfalsifiable worldview and a value judgment that remain unchanged. On the other hand, a policy strategy with a protective belt inevitably evolves owing to changes in reality and advances in scientific knowledge. This is why the Keynesian policy strategy has shifted from being fiscal-led to one that is monetary-led because of the influence of monetarism; further, the Great Recession has even led to their integration.
本文利用拉卡托斯的概念分析了凯恩斯主义的演变。凯恩斯主义的“硬核”在于对市场经济不稳定性的看法,其“保护带”在于运用财政政策和货币政策稳定宏观经济的政策策略。凯恩斯主义是作为一种反对古典自由主义的政策纲领而发展起来的,古典自由主义把市场经济的自主性放在首位,并试图限制政府的作用。总的来说,每一个政策方案的核心都包含一个不可证伪的世界观和一个不变的价值判断。另一方面,由于现实的变化和科学知识的进步,带有保护带的政策战略必然会发展。由于货币主义的影响,凯恩斯主义的政策策略从财政主导转向货币主导,原因就在于此;此外,大衰退甚至导致了它们的融合。
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引用次数: 0
J. M Keynes Was Never a ‘Chapter 12’ Keynesian: The Claim That He Was a ‘Chapter 12’ Keynesian Was Manufactured by Joan Robinson and G. L. S. Shackle After His Death by Changing Keynes’s Definition of Uncertainty to Radical Uncertainty 凯恩斯从来不是“第12章”的凯恩斯主义者:他是“第12章”凯恩斯主义者的说法是琼·罗宾逊和g·l·s·沙克尔在他死后将凯恩斯的不确定性定义改为激进的不确定性而制造出来的
Pub Date : 2019-11-03 DOI: 10.2139/ssrn.3479891
M. E. Brady
The claim that Keynes regarded himself as a “Chapter 12" Keynesian is inaccurate and misleading. Keynes’s chapter 12 discussion and definition of uncertainty in the General Theory is simply a footnote to his much more general theoretical discussion about uncertainty made in chapter 26 of the A Treatise on Probability in 1921 pages 309-312 which concentrated on economics specifically. This was demonstrated in the 1937-38 Keynes-Townshend correspondence, where there is no discussion of the 1937 QJE article or radical uncertainty.

Keynes had two interrelated and interconnected models in the General Theory. They were the D-Z model, which dealt with expected aggregate demand, D, and the IS-LM(LP) model, which dealt with actual or realized aggregate demand, Y. Keynes incorporated uncertainty and expectations into his D-Z model of chapters 20 and 21 after having provided readers of the General Theory with a very brief introduction to the Theory of Effective Demand in Chapter 3 of the General Theory. Keynes’s use of his IS-LM(LP) model in chapter 15 (pp.199-209) provided a brief introduction to the final, complete presentation of his IS-LM(LP) model in Chapter 21 where Keynes brought all of the elements that made up the IS-LM(LP) model together in Section Four of Chapter 21.

This analysis incorporated the LM(LP) equation missing from the classical and neoclassical model of the rate of interest (r) that Keynes had demonstrated to Harrod, in his letter of August 27th,1935, was only a single downward sloping curve in (r,Y) space that intersected nothing, so that the existence of a quantitative determinate equilibrium in classical and neoclassical theory was an impossibility in (r,Y) space. Harrod capitulated completely in his letter to Keynes of August 30th,1935 and acknowledged that Keynes had indeed come up with a very important missing equation and had made a major advance in economic theory. Keynes incorporated his August 27th analysis, using a version of Harrod’s original diagram, in chapter 14 of the General Theory on pages 179-182. Keynes showed diagrammatically that the classical and neoclassical theory of the rate of interest amounted to a single IS curve in (r,Y) space that intersected nothing. Data (in his February, 1937 QJE article, he reverts to a "missing equation” characterization) was missing that could only be provided by the LM(LP) curve in order to have a quantitative, determinate, unique equilibrium as stated explicitly by Keynes on page 299 of the General Theory.

These interrelated and interconnected models work in harmony together with each other. It is quite impossible to use one without the other and expect to fully grasp Keynes’s mathematical, technical analysis. The D-Z model incorporated expectations and uncertainty in order to analyze the anticipated or expected amount of Effective Demand, D. Based on this analysis, a specific actual or realized amount of Effective Demand, Y, results. Keynes then combines
凯恩斯认为自己是“第12章”凯恩斯主义者的说法是不准确和误导的。凯恩斯在《通论》中第12章对不确定性的讨论和定义只是他在1921年《概率论》第26章中对不确定性进行的更一般的理论讨论的一个脚注,第309-312页专门集中在经济学上。这在1937年至1938年的凯恩斯-汤森通信中得到了证明,其中没有讨论1937年QJE的文章或激进的不确定性。凯恩斯在《通论》中有两个相互关联的模型。它们是处理预期总需求的D- z模型D和处理实际或已实现总需求的IS-LM(LP)模型y。凯恩斯在《通论》第3章向读者简要介绍有效需求理论后,将不确定性和期望纳入了第20章和第21章的D- z模型。凯恩斯在第15章(第199-209页)中使用了他的IS-LM(LP)模型,为他在第21章中最后完整的IS-LM(LP)模型提供了一个简短的介绍,凯恩斯在第21章的第四节中把构成IS-LM(LP)模型的所有元素结合在一起。这一分析纳入了凯恩斯在1935年8月27日写给哈罗德的信中向哈罗德证明的古典和新古典利率(r)模型中缺失的LM(LP)方程,即在(r,Y)空间中只有一条向下倾斜的曲线,没有相交,因此在(r,Y)空间中古典和新古典理论中存在定量决定性均衡是不可能的。哈罗德在1935年8月30日写给凯恩斯的信中完全投降了,他承认凯恩斯确实提出了一个非常重要的缺失方程,并在经济理论方面取得了重大进展。凯恩斯在《通论》第179-182页的第14章中引用了他8月27日的分析,使用了哈罗德原始图表的一个版本。凯恩斯用图表表明,古典和新古典的利率理论相当于(r,Y)空间中的一条不相交的IS曲线。数据(在他1937年2月发表的《QJE》文章中,他恢复了“缺失方程”的描述)缺失了,只能由LM(LP)曲线提供,以便有一个定量的、确定的、唯一的均衡,正如凯恩斯在《通论》第299页明确指出的那样。这些相互关联和相互联系的模型相互协调地工作。使用其中一个而不使用另一个,并期望完全掌握凯恩斯的数学技术分析是完全不可能的。D-Z模型将期望和不确定性结合在一起,以分析预期或期望的有效需求量d。基于这种分析,得出具体的实际或实现的有效需求量Y。凯恩斯然后结合Y和r来说明为什么如果流动性偏好在LM(LP)曲线的高弹性范围内成为绝对,货币政策可以被完全中和。凯恩斯决定在《通论》第207-208页以及他在1937年2月《QJE》上给维纳的回复中提出这一结果。希克斯版本的凯恩斯的is - lm分析在任何类型的D-Z模型中都没有基础,因此是不完整的,因为它没有提供企业理论、总生产函数、劳动力市场或凯恩斯在第20章中明确提供的最优性的必要和充分的一阶和二阶条件的微观基础。
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引用次数: 0
Income Shares, Secular Stagnation, and the Long-Run Distribution of Wealth 收入份额、长期停滞和长期财富分配
Pub Date : 2019-10-10 DOI: 10.2139/ssrn.3198311
Luke Petach, Daniele Tavani
Four alarming stylized facts have recently emerged in the United States: (i) a decline in the labor share of income; (ii) a decline in labor productivity; (iii) an increase in the top 1% wealth share, and (iv) an increase in the capital-income ratio. In Capital in the XXI Century, Thomas Piketty’s argument is that the r > g inequality determines an increase in the capital-income ratio; if the elasticity of substitution in production is above one, the profit share rises. We provide a contrasting explanation that draws from the Post Keynesian approach to differential saving propensities between classes and the Classical-Marxian theory of induced technical change. In a simple model of ‘capitalists’ and ‘workers,’ we show that institutional changes that lower the labor share—declining unionization, increasing monopsony power in the labor market, the global ‘race to the bottom’ in unit labor costs, or the exhaustion of path-breaking scientific discoveries—can reduce labor productivity growth because of the lessened incentives to innovate to save on labor costs. A falling labor share reduces workers’ total savings, and wealth concentrates in the capitalists’ hands. A higher profit share and wealth share both put pressure on accumulation: but the long-run growth rate, which is anchored to labor productivity growth, has fallen. To restore balanced growth, the capital-income ratio must rise, independent of the elasticity of substitution. These tendencies are not inevitable: taxation can be used to implement any wealth distribution targeted by policymakers; while worker-crushing institutional arrangements can also in principle be reversed through policy. Neither change appears likely given the current institutional and global policy climate.
美国最近出现了四个令人震惊的事实:(1)劳动收入占比下降;(二)劳动生产率下降;(三)前1%的财富份额增加;(四)资本收入比率增加。在《21世纪资本论》中,托马斯•皮凯蒂(Thomas Piketty)的观点是:G不平等决定了资本收入比的增加;如果生产中的替代弹性大于1,利润份额就会上升。我们提供了一个对比的解释,借鉴了后凯恩斯主义的方法来区分阶级之间的储蓄倾向和古典马克思主义的诱导技术变革理论。在一个简单的“资本家”和“工人”模型中,我们表明,降低劳动收入份额的制度变化——工会化程度下降、劳动力市场的垄断力量增强、单位劳动力成本的全球“逐底竞争”,或者突破性科学发现的枯竭——会降低劳动生产率的增长,因为减少了为节省劳动力成本而进行创新的动力。劳动收入占比的下降减少了工人的总储蓄,财富集中在资本家手中。更高的利润份额和财富份额都给积累带来了压力,但与劳动生产率增长挂钩的长期增长率已经下降。为了恢复平衡增长,资本收入比率必须上升,而不受替代弹性的影响。这些趋势并非不可避免:税收可以用来实施政策制定者所针对的任何财富分配;而压榨工人的制度安排原则上也可以通过政策加以扭转。考虑到目前的制度和全球政策环境,这两种变化似乎都不太可能发生。
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引用次数: 12
A Simple Aggregate Demand Analysis With Dynamic Optimization in a Small Open Economy 小型开放经济中具有动态优化的简单总需求分析
Pub Date : 2019-07-31 DOI: 10.2139/ssrn.3430086
K. Hashimoto, Yoshiyasu Ono
We develop an aggregate demand analysis of a small open economy based on all agents’ dynamic optimization. Murota and Ono (2015) present a simple Keynesian cross analysis with dynamic optimization. This paper extends it to a small-country setting with two factors and two commodities, of which the structure is as simple as the conventional Keynesian cross analysis. We apply the model to examine the effects of changes in various parameters, such as the terms of trade, foreign asset holdings and government purchases, on aggregate demand. They are quite different from those under full employment and those of the Mundell-Fleming model.
本文建立了一个基于所有主体动态优化的小型开放经济的总需求分析。Murota和Ono(2015)提出了一个简单的动态优化凯恩斯交叉分析。本文将其扩展到一个具有两个要素和两种商品的小国背景下,其结构与传统的凯恩斯交叉分析一样简单。我们应用该模型来检验各种参数变化对总需求的影响,如贸易条件、外国资产持有和政府购买。它们与充分就业和蒙代尔-弗莱明模型下的情况大不相同。
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引用次数: 4
Global Robust Bayesian Analysis in Large Models 大型模型的全局鲁棒贝叶斯分析
Pub Date : 2019-07-21 DOI: 10.2139/ssrn.3452643
P. Ho
This paper develops tools for global prior sensitivity analysis in large Bayesian models. Without imposing parametric restrictions, the framework provides bounds for a wide range of posterior statistics given any prior that is close to the original in relative entropy. The methodology also reveals parts of the prior that are important for the posterior statistics of interest. To implement these calculations in large models, we develop a sequential Monte Carlo algorithm and use approximations to the likelihood and statistic of interest. We use the framework to study error bands for the impulse response of output to a monetary policy shock in the New Keynesian model of Smets and Wouters (2007). The error bands depend asymmetrically on the prior through features of the likelihood that are hard to detect without this formal prior sensitivity analysis.
本文开发了大型贝叶斯模型的全局先验灵敏度分析工具。在不施加参数限制的情况下,该框架为大范围的后验统计提供了边界,给定任何与原始相对熵接近的先验。该方法还揭示了先验的部分,这对感兴趣的后验统计很重要。为了在大型模型中实现这些计算,我们开发了一个顺序蒙特卡罗算法,并使用近似的似然和感兴趣的统计量。我们使用该框架来研究Smets和Wouters(2007)的新凯恩斯模型中产出对货币政策冲击的脉冲响应的误差带。误差带不对称地依赖于先验,通过似然的特征,如果没有这种正式的先验敏感性分析,很难检测到。
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引用次数: 11
Expectations-Driven Liquidity Traps: Implications for Monetary and Fiscal Policy 预期驱动的流动性陷阱:对货币和财政政策的影响
Pub Date : 2019-07-01 DOI: 10.17016/FEDS.2019.053
Taisuke Nakata, Sebastian Schmidt
We study optimal time-consistent monetary and fiscal policy in a New Keynesian model where occasional declines in agents’ confidence give rise to persistent liquidity trap episodes. Insights from widely studied fundamental-driven liquidity traps are not a useful guide for enhancing welfare in this model. Raising the inflation target, appointing an inflation-conservative central banker, or allowing for the use of government spending as an additional stabilization tool can exacerbate deflationary pressures and demand deficiencies during the liquidity trap episodes. However, appointing a policy-maker who is sufficiently less concerned with government spending stabilization than society eliminates expectations-driven liquidity traps. (JEL E31, E52, E61, E62, E63)
我们在新凯恩斯模型中研究了最优时间一致的货币和财政政策,其中代理人信心的偶尔下降会引起持续的流动性陷阱事件。在这个模型中,从广泛研究的基本面驱动的流动性陷阱中得出的见解并不是提高福利的有用指南。提高通胀目标,任命一位通胀保守的央行行长,或者允许使用政府支出作为额外的稳定工具,都可能在流动性陷阱时期加剧通缩压力和需求不足。然而,任命一位不太关心政府支出稳定而更关心社会的政策制定者,可以消除预期驱动的流动性陷阱。(凝胶e31, e52, e61, e62, e63)
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引用次数: 21
Tolerable Ranges of Variation in the Rate of Capacity Utilization and Corridor Instability: A Reply to Florian Botte 容量利用率和通道不稳定性的可容忍变化范围:对弗洛里安·波特的回复
Pub Date : 2019-05-28 DOI: 10.2139/ssrn.3395560
M. Setterfield
This reply to Botte (2019) responds to criticisms of the methods used to estimate the normal rate of capacity utilization and a tolerable interval of variation in the actual rate of capacity utilization around the normal rate in Setterfield (2019a). It concludes with some further reflections on the concept of corridor instability.
对Botte(2019)的回复回应了对用于估计正常产能利用率的方法的批评,以及Setterfield (2019a)中实际产能利用率在正常水平附近的可容忍变化区间。最后对廊道不稳定性的概念进行了进一步的思考。
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引用次数: 1
How the Economics Profession Overlooked Keynes’s IS-LM (LP) Model in Chapter 21 of the General Theory in the 20th and 21st Centuries 20世纪和21世纪经济学界是如何忽视《通论》第21章中凯恩斯的IS-LM (LP)模型的
Pub Date : 2019-04-18 DOI: 10.2139/ssrn.3374113
M. E. Brady
J M Keynes’s brief and detailed summaries of his original IS-LM(LP) models in Chapters 15 and 21, respectively, of the General Theory were overlooked by the economics profession in the 20th and 21st centuries due to three main reasons.

The first reason was the claims made by the Keynesian fundamentalists,Joan Robinson and GL S Shackle, that Keynes’s supposed definition of uncertainty as complete and total ignorance of the future precluded the use of formal mathematical and statistical models of the macro economy. Therefore, any IS-LM model in the General Theory was an impossibility.

The second reason was based on the supposed claim ,made by Backhouse,Young, Dimand, and Rubin, that Keynes was an adherent of the Marshallian view of formal mathematical exposition, which supposedly emphasized presenting only verbal chains of exposition that were based on mathematical analysis, which was then removed from the published work. Therefore, although Keynes created earlier versions of IS-LM to work with in 1933,1934, and 1935, Keynes decided to remove his formal IS-LM model by scattering the three components of his IS-LM model throughout the General Theory in 1936. Keynes substituted a strictly verbal, literary, prose analysis in its place.

The third reason was based on the claim, made by Hawtrey, Robertson, Robinson, Viner, Hansen and Ahiakpor, that Keynes’s liquidity preference analysis was restricted only to chapter 13 of the General Theory alone ,where the crucial analysis was based on the equation specified on page 168 of the General Theory, M=L(r),so that the demand and supply for money is identical to the demand and supply for liquidity. Keynes’s chapter 15 definition of liquidity preference on p.199 is ignored. Adherents of this view likewise overlooked Keynes’s analysis on pages 207-209 of chapter 15 and pages 298-306 of chapter 21 of the General Theory.

All three of these reasons are badly flawed because they all ignore Keynes’s analysis on pages 199, 207-209 of Chapter 15 and pages 298-306 of chapter 21 of the General Theory. Once these pages are studied carefully, it becomes clear that Keynes incorporated an improved IS-LM(LP) model in the General Theory that was superior to the earlier 1933,1934,and 1935 versions he had presented in his student lectures and the mid 1934 draft copy of the General Theory.

Keynes makes it crystal clear in his discussion on pages 298-299 that he was presenting a mathematical model that had the following characteristics :
• One can calculate a quantitative answer using it
• The model is composed of three elements a), b), and c). a) is the consumption function, C, with both the mpc and investment multiplier specified. b) is the Investment function, I, which is a downward sloping function of the rate of interest, r. c) is the Liquidity Preference equation from page 199 of chapter 15, which is a function of both of Y and r, where Y=C+I.
• The three elements provide an anal
凯恩斯在《通论》第15章和第21章分别对他的原始IS-LM(LP)模型进行了简要和详细的总结,但由于三个主要原因,20世纪和21世纪的经济学专业人士忽视了这一点。第一个原因是凯恩斯原教旨主义者琼·罗宾逊(Joan Robinson)和GL S沙克尔(GL S Shackle)的主张,他们认为凯恩斯对不确定性的假定定义是对未来的完全无知,排除了对宏观经济的正式数学和统计模型的使用。因此,通论中的任何IS-LM模型都是不可能的。第二个原因是基于巴克斯豪斯、杨、迪芒和鲁宾提出的假设,即凯恩斯是马绍尔形式数学论述观点的追随者,这种观点强调只呈现基于数学分析的口头论述链,然后从出版的作品中删除。因此,尽管凯恩斯在1933年、1934年和1935年创建了早期版本的IS-LM模型,但凯恩斯决定在1936年将他的IS-LM模型的三个组成部分分散到通论中,从而删除他的正式IS-LM模型。凯恩斯用严格的口头、文学、散文分析取代了它。第三个原因是基于Hawtrey、Robertson、Robinson、Viner、Hansen和Ahiakpor的主张,即凯恩斯的流动性偏好分析仅限于《通论》第13章,其中关键的分析是基于《通论》第168页指定的方程M=L(r),因此货币的需求和供给与流动性的需求和供给是相同的。凯恩斯第15章对流动性偏好的定义在第199页被忽略了。这种观点的拥护者同样忽略了凯恩斯在《通论》第15章207-209页和第21章298-306页的分析。这三个理由都存在严重缺陷,因为它们都忽略了凯恩斯在《通论》第15章199页、207-209页和第21章298-306页的分析。一旦仔细研究这些页面,就会发现凯恩斯在《通论》中加入了一个改进的IS-LM(LP)模型,该模型优于他在学生讲座中提出的1933年、1934年和1935年的版本,以及1934年中期的《通论》草稿。凯恩斯在298-299页的讨论中清楚地表明,他提出了一个具有以下特征的数学模型:•人们可以使用它来计算定量答案•该模型由三个元素组成a), b)和c)。a)是消费函数c, mpc和投资乘数都指定。b)是投资函数I,它是利率r的一个向下倾斜的函数。c)是第15章第199页的流动性偏好方程,它是Y和r的函数,其中Y= c +I。•这三个元素提供了一个分析,是有价值的介绍秩序和方法的查询•这三个元素定义了一组联立方程•方程提供了一个确定的答案或结果。•在凯恩斯的is - lm (LP)第21章模型中没有不确定性/预期。凯恩斯在第298-299页的通论中完美地描述了他的is - lm (LP)模型。这是对他早前的1933、1934和1935年版本的重大改进。希克斯的is - lm版本,就像哈罗德的版本一样,凯恩斯的通论,发表在1937年的《计量经济学》上,是凯恩斯的is - lm模型在《通论》第21章的低劣版本,因为希克斯的版本没有支持,微观的,D-Z分析,包括预期和不确定性,正如凯恩斯在《通论》第20章和第21章中提出的那样。
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引用次数: 0
General Equilibrium Theory, but Better 一般均衡理论,但更好
Pub Date : 2019-03-01 DOI: 10.2139/ssrn.3216012
Steven Kerr
I construct a general, game theoretic model of markets. Agents in the model choose how much of each good to supply/demand, and at what prices. Trading can occur at non-market-clearing prices. There is an explicit rationing mechanism that kicks in if markets fail to clear. The game is very complicated, but a massive simplification occurs in the limit of a large number of players. This allows a proof of existence of a pure strategy equilibrium. I also prove an analogue of the first fundamental theorem of welfare economics.

The game is Keynesian in that 1) markets needn't clear at equilibrium so there can be unemployment and 2) there is the possibility of multiple equilibria with different levels of aggregate supply/demand, and distinct Pareto rankings. The model is microfounded and Keynesian. Fiat money can be accommodated as a store of value and a medium of exchange. The model is well placed for investigating dynamics.
我构建了一个一般的市场博弈论模型。模型中的代理选择每种商品的供给/需求数量以及价格。交易可以以非市场出清价格进行。如果市场无法出清,就会启动明确的配给机制。这款游戏非常复杂,但在玩家数量的限制下会出现大量的简化。这就证明了纯策略均衡的存在性。我还证明了福利经济学第一基本定理的一个类比。这个博弈是凯恩斯主义的,因为1)市场不需要在均衡时出清,所以可能会有失业;2)有可能出现多种均衡,总供给/需求水平不同,帕累托排名也不同。这个模型是微观的,是凯恩斯主义的。法定货币可以作为一种价值储存手段和交换媒介。这个模型很适合研究动力学。
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引用次数: 0
期刊
ERN: Keynes; Keynesian; Post-Keynesian (Topic)
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