795 resultados para mathematical economics


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We present a definition of increasing uncertainty, in which an elementary increase in the uncertainty of any act corresponds to the addition of an 'elementary bet' that increases consumption by a fixed amount in (relatively) 'good' states and decreases consumption by a fixed (and possibly different) amount in (relatively) 'bad' states. This definition naturally gives rise to a dual definition of comparative aversion to uncertainty. We characterize this definition for a popular class of generalized models of choice under uncertainty.

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This paper studies the structure of state-contingent contracts in the presence of moral hazard and multitasking. Necessary and sufficient conditions for the presence of multitasking to lead to fixed payments instead of incentive schemes are identified. It is shown that the primary determinant of whether multitasking leads to higher or lower powered incentives is the role that noncontractible outputs play in helping the agent deal with the production risk associated with the observable and contractible outputs. When the noncontractible outputs are risk substitutes and are socially undesirable, standards are never optimal. If the noncontractible outputs are socially desirable, standards are never optimal if the noncontractible outputs play a risk-complementary role.

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This article studies the comparative statics of output subsidies for firms, with monotonic preferences over costs and returns, that face price and production uncertainty. The modeling of deficiency payments, support-price schemes, and stochastic supply shifts in a state-space framework is discussed. It is shown how these notions can be used, via a simple application of Shephard's lemma, to analyze input-demand shifts once comparative-static results for supply are available. A range of comparative-static results for supply are then developed and discussed.

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(Magill, M., Quinzii, M., 2002. Capital market equilibrium with moral hazard. Journal of Mathematical Economics 38, 149-190) showed that, in a stockmarket economy with private information, the moral hazard problem may be resolved provided that a spanning overlap condition is satisfed. This result depends on the assumption that the technology is given by a stochastic production function with a single scalar input. The object of the present paper is to extend the analysis of Magill and Quinzii to the case of multiple inputs. We show that their main result extends to this general case if and only if, for each firm, the number of linearly independent combinations of securities having payoffs correlated with, but not dependent on, the firms output is equal to the number of degrees of freedom in the firm's production technology.

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In this paper, we consider the relationship between supermodularity and risk aversion. We show that supermodularity of the certainty equivalent implies that the certainty equivalent of any random variable is less than its mean. We also derive conditions under which supermodularity of the certainty equivalent is equivalent to aversion to mean-preserving spreads in the sense of Rothschild and Stiglitz. (c) 2006 Elsevier B.V. All rights reserved.

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Здравко Д. Славов - В тази статия се разглежда математически модел на икономика с фиксирани общи ресурси, както и краен брой агенти и блага. Обсъжда се ролята на някои предположения за отношенията на предпочитание на икономическите агенти, които влияят на характеристиките на оптимално разпределените дялове. Доказва се, че множеството на оптимално разпределените дялове е свиваемо и притежава свойството на неподвижната точка.

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This paper studies the role of fiscal and monetary institutions in macroeconomic stability and budgetary control in central, eastern and south-eastern European countries (CESEE) in comparison with other OECD countries. CESEE countries tend to grow faster and have more volatile output than non-CESEE OECD countries, which has implications for macroeconomic management: better fiscal and monetary institutions are needed to avoid pro-cyclical policies. The paper develops a Budgetary Discipline Index to assess whether good fiscal institutions underpin good fiscal outcomes. Even though most CESEE countries have low scores, the debt/GDP ratios declined before the crisis. This was largely the consequence of a very favourable relationship between the economic growth rate and the interest rate, but such a favourable relationship is not expected in the future. Econometric estimations confirm that better monetary institutions reduce macroeconomic volatility and that countries with better budgetary procedures have better fiscal outcomes. All these factors call for improved monetary institutions, stronger fiscal rules and better budgetary procedures in CESEE countries.

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In a paper on the effects of the global financial crisis in Central and Eastern Europe (CEE), the author reacts to a paper of Åslund (2011) published in the same issue of Eurasian Geography and Economics on the influence of exchange rate policies on the region’s recovery. The author argues that post-crisis corrections in current account deficits in CEE countries do not in themselves signal a return to steady economic growth. Disagreeing with Åslund over the role of loose monetary policy in fostering the region’s economic problems, he outlines a number of competitiveness problems that remain to be addressed in the 10 new EU member states of CEE, along with improvements in framework conditions supporting future macroeconomic growth.

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There are two possible responses to the Greek debt crisis: ‘Plan A’, continued official lending, for as long as needed, with possible voluntary private sector involvement, and ‘Plan B’, coercive preemptive or post-default restructuring with significant face value reduction in privately-held debt. Both options have risks, but it is necessary to move to Plan B sooner or later. The impact on Greece could be mitigated by foreign bank ownership and proper liquidity support measures. The direct spillover impact on the rest of the euro area seems small. But there is the risk of contagion, which is a serious concern. There is a cautious case for delaying somewhat Plan B in order to prepare for it.

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Highlights: • The European Union growth agenda has become even more pressing because growth is needed to support public and private sector deleveraging, reduce the fragility of the banking sector, counter the falling behind of southern European countries and prove that Europe is still a worthwhile place to invest. • The crisis has had a similar impact on most European countries and the US: a persistent drop in output level and a growth slowdown. This contrasts sharply with the experience of the emerging countries of Asia and Latin America. • Productivity improvement was immediate in the US, but Europe hoarded labour and productivity improvements were in general delayed. Southern European countries have hardly adjusted so far. • There is a negative feedback loop between the crisis and growth, and without effective solutions to deal with the crisis, growth is unlikely to resume. National and EU-level policies should aim to foster reforms and adjustment and should not risk medium-term objectives under the pressure of events. A more hands-on approach, including industrial policies, should be considered.

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Highlights: • Iceland, Ireland and Latvia experienced similar developments before the crisis, such as sharp increases in banks’ balance sheets and the expansion of the construction sector. However the impact of the crisis was different: Latvia was hit harder than any other country in the world. Ireland also suffered heavily, while Iceland came out from the crisis with the smallest fall in employment, despite the greatest shock to the financial system. • There were marked differences in policy mix: currency collapse in Iceland but not in Latvia, letting banks fail in Iceland but not in Ireland, and the introduction of strict capital controls only in Iceland. The speed of fiscal consolidation was fastest in Latvia and slowest in Ireland. • Economic recovery has started in all three countries and there are several encouraging signals. The programme targets in terms of fiscal adjustment, structural reforms and financial reform are on track in all three countries. • Iceland seems to have the right policy mix. • Internal devaluation in Ireland and Latvia through wage cuts did not work, because privatesector wages hardly changed. The productivity increase was significant in Ireland and moderate in Latvia, yet was the result of a greater fall in employment than the fall in output, with harmful social consequences. • The experience with the collapse of the gigantic Icelandic banking system suggests that letting banks fail when they had a faulty business model is the right choice. • There is a strong case for a European banking federation.

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The concept of types was introduced by Harsányi[8]. In the literature there are two approaches for formalizing types, type spaces: the purely measurable and the topological models. In the former framework Heifetz and Samet [11] showed that the universal type space exists and later Meier[13] proved that it is complete. In this paper we examine the topological approach and conclude that there is no universal topological type space in the category of topological type spaces.