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Yale University

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Multiple equilibria

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Articles 1 - 8 of 8

Full-Text Articles in Social and Behavioral Sciences

Inference Based On Many Conditional Moment Inequalities, Donald W.K. Andrews, Xiaoxia Shi Jul 2015

Inference Based On Many Conditional Moment Inequalities, Donald W.K. Andrews, Xiaoxia Shi

Cowles Foundation Discussion Papers

In this paper, we construct confidence sets for models defined by many conditional moment inequalities/equalities. The conditional moment restrictions in the models can be finite, countably infinite, or uncountably infinite. To deal with the complication brought about by the vast number of moment restrictions, we exploit the manageability (Pollard (1990)) of the class of moment functions. We verify the manageability condition in five examples from the recent partial identification literature. The proposed confidence sets are shown to have correct asymptotic size in a uniform sense and to exclude parameter values outside the identified set with probability approaching one. Monte Carlo …


Inference Based On Many Conditional Moment Inequalities, Donald W.K. Andrews, Xiaoxia Shi Jul 2015

Inference Based On Many Conditional Moment Inequalities, Donald W.K. Andrews, Xiaoxia Shi

Cowles Foundation Discussion Papers

In this paper, we construct confidence sets for models defined by many conditional moment inequalities/equalities. The conditional moment restrictions in the models can be finite, countably in finite, or uncountably in finite. To deal with the complication brought about by the vast number of moment restrictions, we exploit the manageability (Pollard (1990)) of the class of moment functions. We verify the manageability condition in five examples from the recent partial identification literature. The proposed confidence sets are shown to have correct asymptotic size in a uniform sense and to exclude parameter values outside the identified set with probability approaching one. …


Runs, Panics And Bubbles: Diamond-Dybvig And Morris-Shin Reconsidered, Eric Smith, Martin Shubik Aug 2012

Runs, Panics And Bubbles: Diamond-Dybvig And Morris-Shin Reconsidered, Eric Smith, Martin Shubik

Cowles Foundation Discussion Papers

The basic two-noncooperative-equilibrium-point model of Diamond and Dybvig is considered along with the work of Morris and Shin utilizing the possibility of outside noise to select a unique equilibrium point. Both of these approaches are essentially nondynamic. We add an explicit replicator dynamic from evolutionary game theory to provide for a sensitivity analysis that encompasses both models and contains the results of both depending on parameter settings.


Does Reducing Spatial Differentiation Increase Product Differentiation? Effects Of Zoning On Retail Entry And Format Variety, Sumon Datta, K. Sudhir Mar 2012

Does Reducing Spatial Differentiation Increase Product Differentiation? Effects Of Zoning On Retail Entry And Format Variety, Sumon Datta, K. Sudhir

Cowles Foundation Discussion Papers

This paper investigates the impact of spatial zoning restrictions on retail market outcomes. We estimate a structural model of entry, location and format choice across a large number of markets in the presence of zoning restrictions. The paper contributes to the literature in three ways: First, the paper demonstrates that the omission of zoning restrictions in the extant literature on entry and location choice leads to biased estimates of the factors affecting market potential and competitive intensity. Second, the cross-market variations in zoning regulations helps us test and provide evidence for the theory that constraints on spatial differentiation will lead …


Default Penalty As A Disciplinary And Selection Mechanism In Presence Of Multiple Equilibria, Juergen Huber, Martin Shubik, Shyam Sunder Oct 2009

Default Penalty As A Disciplinary And Selection Mechanism In Presence Of Multiple Equilibria, Juergen Huber, Martin Shubik, Shyam Sunder

Cowles Foundation Discussion Papers

Closed exchange and production-and-exchange economies may have multiple equilibria, a fact that is usually ignored in macroeconomic models. Our basic argument is that default and bankruptcy laws are required to prevent strategic default, and these laws can also serve to provide the conditions for uniqueness. In this paper we report experimental evidence on the effectiveness of this approach to resolving multiplicity: society can assign default penalties on fiat money so the economy selects one of the equilibria. Our data show that the choice of default penalty takes the economy to the neighborhood of the chosen equilibrium. The theory and evidence …


Default Penalty As A Selection Mechanism Among Multiple Equilibria, Juergen Huber, Martin Shubik, Shyam Sunder Oct 2009

Default Penalty As A Selection Mechanism Among Multiple Equilibria, Juergen Huber, Martin Shubik, Shyam Sunder

Cowles Foundation Discussion Papers

The possibility of the presence of multiple equilibria in closed exchange and production-and-exchange economies is usually ignored in macroeconomic models even though they are important in real economies. We argue that default and bankruptcy laws serve to provide the conditions for uniqueness of an equilibrium. In this paper, we report experimental evidence on the effectiveness of this approach to resolving multiplicity: a society can assign default penalties on fiat money so that the economy selects one of the equilibria. The laboratory data show that the choice of default penalty takes the economy near the chosen equilibrium. The theory and evidence …


Default Penalty As A Selection Mechanism Among Multiple Equilibria, Juergen Huber, Martin Shubik, Shyam Sunder Oct 2009

Default Penalty As A Selection Mechanism Among Multiple Equilibria, Juergen Huber, Martin Shubik, Shyam Sunder

Cowles Foundation Discussion Papers

Closed exchange and production-and-exchange economies may have multiple equilibria, a fact that is usually ignored in macroeconomic models. Our basic argument is that default and bankruptcy laws are required to prevent strategic default, and these laws can also serve to provide the conditions for uniqueness. In this paper, we report experimental evidence on the effectiveness of this approach to resolving multiplicity: a society can assign default penalties on fiat money so that the economy selects one of the equilibria. Our data show that the choice of default penalty takes the economy close to the chosen equilibrium. The theory and evidence …


Rethinking Multiple Equilibria In Macroeconomic Modelling, Stephen Morris, Hyun Song Shin Jun 2000

Rethinking Multiple Equilibria In Macroeconomic Modelling, Stephen Morris, Hyun Song Shin

Cowles Foundation Discussion Papers

Are beliefs as indeterminate as auggested by models with multiple equilibria? Multiplicity of equilibria arise largely as the unintended consequence of two modelling assumptions — the fundamentals are assumed to be common knowledge, and economic agents know others’ actions in equilibrium. Both are questionable. When others’ actions are not known with certainty, such as when actions rely on noisy signals, self-fulfilling beliefs lead to a unique outcome determined by the fundamentals and the knowledges that others are rational. This paper illustrates this approach in the context of a model of bank runs and other similar applications. Such an approach places …