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Discrete/continuous choice models and representative consumer theory
IF 1.4 3区 经济学 Q3 ECONOMICS Pub Date : 2025-04-17 DOI: 10.1016/j.jet.2025.106012
Jean-Pierre Dubé , Joonhwi Joo , Kyeongbae Kim
We establish the integrability of demand for a broad class of discrete/continuous choice, additive, homothetic random-utility models of individual consumer behavior with perfect substitutes preferences (linear indifference curves) and divisible goods. We derive the corresponding indirect utility function and then establish a representative consumer formulation for this entire class of models. The representative consumer is always normative, facilitating aggregate welfare analysis. These findings should be of interest to the literature in macro, trade, industrial organization, labor, and ideal price index measurement that use representative consumer models, such as CES and its variants. Our results generalize such representative consumer formulations to the broad, empirically-relevant class of models of behavior that are routinely used in the discrete/continuous choice analysis of micro data, including specifications that do not suffer from the IIA property and that allow for heterogeneous consumer preferences and incomes. These flexible discrete/continuous choice formulations also overcome many of the known limitations of CES and its variants for equilibrium prices and markups, trade liberalization effects and welfare analysis. We also discuss quasi-linear integrability in the case where products are indivisible and integrability no longer holds. If we relax homotheticity, we find that integrability generically fails to hold except in the special case of IIA preferences.
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引用次数: 0
Business cycles fluctuations in three-sector intertemporal equilibrium models 三部门时际均衡模型中的商业周期波动
IF 1.4 3区 经济学 Q3 ECONOMICS Pub Date : 2025-04-15 DOI: 10.1016/j.jet.2025.106010
Kazuo Nishimura , Florian Pelgrin , Alain Venditti
This paper introduces a novel mechanism driving endogenous business cycle fluctuations within a frictionless three-sector intertemporal equilibrium model. We emphasize the critical role of consumer preferences as a primary driver of cyclical dynamics by considering a consumption bundle composed of a pure consumption good and a mixed consumption-investment good that simultaneously serves as both a final consumption good and a capital-accumulating investment good. Endogenous fluctuations naturally arise from sectoral capital intensity differences, an intertemporal consumption trade-off between the two goods, or the interaction of both mechanisms. We offer a detailed characterization of the economy's dynamics, identifying the Hopf bifurcation conditions that trigger persistent cyclical behavior. Additionally, we explore the periodicity of the resulting limit cycles, providing insights into how shifts in preferences and sectoral complementarities can generate self-sustained macroeconomic fluctuations.
本文在无摩擦三部门跨期均衡模型中引入了一种驱动内生商业周期波动的新机制。我们通过考虑由纯消费产品和消费-投资混合产品组成的消费束,强调消费者偏好作为周期动态主要驱动力的关键作用。内生波动自然来自部门资本密集度差异、两种商品之间的跨期消费权衡或两种机制的相互作用。我们提供了经济动态的详细特征,确定了引发持续周期性行为的霍普夫分岔条件。此外,我们还探讨了由此产生的极限周期的周期性,为偏好和部门互补性的变化如何产生自我维持的宏观经济波动提供了见解。
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引用次数: 0
Minimal contagious sets: Degree distributional bounds
IF 1.4 3区 经济学 Q3 ECONOMICS Pub Date : 2025-04-14 DOI: 10.1016/j.jet.2025.106009
Itai Arieli , Galit Ashkenazi-Golan , Ron Peretz , Yevgeny Tsodikovich
Agents in a network adopt an innovation if a certain fraction of their neighbors has already done so. We study the minimal contagious set size required for a successful innovation adoption by the entire population, and provide upper and lower bounds on it. Since detailed information about the network structure is often unavailable, we study bounds that depend only on the degree distribution of the network – a simple statistic of the network topology. Moreover, as our bounds are robust to small changes in the degree distribution, they also apply to large networks for which the degree distribution can only be approximated. Applying our bounds to growing networks shows that the minimal contagious set size is linear in the number of nodes. Consequently, for outside of knife-edge cases (such as the star-shaped network), contagion cannot be achieved without seeding a significant fraction of the population. This finding highlights the resilience of networks and demonstrates a high penetration cost in the corresponding markets.
{"title":"Minimal contagious sets: Degree distributional bounds","authors":"Itai Arieli ,&nbsp;Galit Ashkenazi-Golan ,&nbsp;Ron Peretz ,&nbsp;Yevgeny Tsodikovich","doi":"10.1016/j.jet.2025.106009","DOIUrl":"10.1016/j.jet.2025.106009","url":null,"abstract":"<div><div>Agents in a network adopt an innovation if a certain fraction of their neighbors has already done so. We study the minimal contagious set size required for a successful innovation adoption by the entire population, and provide upper and lower bounds on it. Since detailed information about the network structure is often unavailable, we study bounds that depend only on the degree distribution of the network – a simple statistic of the network topology. Moreover, as our bounds are robust to small changes in the degree distribution, they also apply to large networks for which the degree distribution can only be approximated. Applying our bounds to growing networks shows that the minimal contagious set size is linear in the number of nodes. Consequently, for outside of knife-edge cases (such as the star-shaped network), contagion cannot be achieved without seeding a significant fraction of the population. This finding highlights the resilience of networks and demonstrates a high penetration cost in the corresponding markets.</div></div>","PeriodicalId":48393,"journal":{"name":"Journal of Economic Theory","volume":"226 ","pages":"Article 106009"},"PeriodicalIF":1.4,"publicationDate":"2025-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143829002","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bidding in multi-unit auctions under limited information
IF 1.4 3区 经济学 Q3 ECONOMICS Pub Date : 2025-04-11 DOI: 10.1016/j.jet.2025.106008
Bernhard Kasberger , Kyle Woodward
Multi-unit auctions frequently take place in environments with limited information, such as in new markets and under volatile macroeconomic conditions. We characterize optimal prior-free bids in such auctions; these bids minimize the maximal loss in expected utility resulting from uncertainty surrounding opponent behavior. We show that optimal bids are readily computable in this environment despite bidders having multi-dimensional private information. In the pay-as-bid auction the prior-free bid is unique; in the uniform-price auction the prior-free bid is unique if the bidder is allowed to determine the quantities for which they bid, as in many practical applications. We compare prior-free bids and auction outcomes across auction formats; while outcome comparisons are ambiguous, pay-as-bid auctions tend to generate greater revenue and welfare than uniform-price auctions when bidders' values are dispersed. We also compare outcomes in limited-information environments to outcomes in high-information environments, modeled as bidders playing Bayes-Nash equilibrium, and show that Bayes-Nash outcomes dominate prior-free outcomes when the auction is competitive.
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引用次数: 0
An alternative approach for nonparametric analysis of random utility models
IF 1.4 3区 经济学 Q3 ECONOMICS Pub Date : 2025-04-09 DOI: 10.1016/j.jet.2025.105998
Christopher Turansick
We readdress the problem of nonparametric statistical testing of random utility models proposed in Kitamura and Stoye (2018). Although their test is elegant, it is subject to computational constraints which leaves execution of the test infeasible in many applications. We note that much of the computational burden in Kitamura and Stoye's test is due to their test defining a polyhedral cone through its vertices rather than its faces. We propose an alternative but equivalent hypothesis test for random utility models. This test relies on a series of equality and inequality constraints which defines the faces of the corresponding polyhedral cone. Building on our testing procedure, we develop a novel axiomatization of the random utility model.
{"title":"An alternative approach for nonparametric analysis of random utility models","authors":"Christopher Turansick","doi":"10.1016/j.jet.2025.105998","DOIUrl":"10.1016/j.jet.2025.105998","url":null,"abstract":"<div><div>We readdress the problem of nonparametric statistical testing of random utility models proposed in <span><span>Kitamura and Stoye (2018)</span></span>. Although their test is elegant, it is subject to computational constraints which leaves execution of the test infeasible in many applications. We note that much of the computational burden in Kitamura and Stoye's test is due to their test defining a polyhedral cone through its vertices rather than its faces. We propose an alternative but equivalent hypothesis test for random utility models. This test relies on a series of equality and inequality constraints which defines the faces of the corresponding polyhedral cone. Building on our testing procedure, we develop a novel axiomatization of the random utility model.</div></div>","PeriodicalId":48393,"journal":{"name":"Journal of Economic Theory","volume":"226 ","pages":"Article 105998"},"PeriodicalIF":1.4,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143816241","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Costly subjective learning
IF 1.4 3区 经济学 Q3 ECONOMICS Pub Date : 2025-03-27 DOI: 10.1016/j.jet.2025.105997
Youichiro Higashi , Kazuya Hyogo , Norio Takeoka
We examine the behavioral foundation of rational inattention within a menu-choice framework. Unlike previous studies, our approach enables the unique identification of nonadditive information costs. The nonadditivity of information costs makes the effective cost inherently dependent on benefits of information. In contrast to additive cost models, this feature may lead to a violation of the preference for early resolution of menu uncertainty. Early resolution is typically preferable as it allows the agent to fine-tune information for relevant menus. However, if the effective cost function is convex in benefits of information, late resolution may reduce the effective information costs. The violation occurs when this cost-reduction effect outweighs the benefits of early resolution.
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引用次数: 0
Revenue effects of ambiguity in multi-unit auctions
IF 1.4 3区 经济学 Q3 ECONOMICS Pub Date : 2025-03-19 DOI: 10.1016/j.jet.2025.105996
Daniel Bougt , Gagan Ghosh , Heng Liu
We study the effect of ambiguity on expected revenue in multi-unit auctions where bidders have independent private values, maxmin preferences, and single-unit demand. If the set of priors is suitably rich, we show that the discriminatory or ‘pay-as-bid’ auction has the highest expected revenue, followed by the sequential first-price auction and then the sequential second-price auction. The uniform price auction with the ‘highest losing bid’ pricing rule does the worst. Our results also extend to some open auction formats.
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引用次数: 0
The screening role of market tightness in a competitive search equilibrium with adverse selection
IF 1.4 3区 经济学 Q3 ECONOMICS Pub Date : 2025-03-12 DOI: 10.1016/j.jet.2025.105995
Hung-Chi Chang , Yiting Li
This paper revisits Guerrieri, Shimer, and Wright (2010) (GSW) to study screening in a competitive search market with adverse selection. GSW show that there exists a unique separating equilibrium in which each type applies to a different contract, and their key sorting assumption involves a single-crossing property on agents' preferences. We show that GSW's main results hold under a weaker assumption on preference heterogeneity, called generalized sorting, and weakening the sorting assumption relies on explicitly considering the screening role of market tightness. The assumption can be weakened further if we assume that agents' matching probability strictly increases in market tightness. In addition to providing theoretical insights, we study examples to demonstrate how generalized sorting facilitates the study of market imperfections under search and informational frictions. In our examples, indivisibility, price limits, and the minimum wage violate GSW's sorting assumption but remain tractable under generalized sorting. Thus, an additional contribution of this paper is the expansion in applicability of GSW's approach.
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引用次数: 0
Offshoring and the distribution of skills
IF 1.4 3区 经济学 Q3 ECONOMICS Pub Date : 2025-03-12 DOI: 10.1016/j.jet.2025.105994
Hiroshi Goto , Yan Ma , Nobuyuki Takeuchi
We develop a two-sector model to explore how skill distribution affects trade in final goods and offshoring. We show that when countries differ in skill abundance, wage disparities create opportunities for offshoring. In contrast, when countries vary in skill diversity but share the same median skill, symmetric skill distributions render offshoring infeasible. We also find that offshoring can result in the relative price under offshoring being lower than each country's autarky relative price if the gap between the median skill levels of the two countries is sufficiently large. Finally, we demonstrate that an individual's industry of employment primarily determines how they are affected by trade in final goods, whereas their occupation (tasks) shapes how they are impacted by offshoring.
{"title":"Offshoring and the distribution of skills","authors":"Hiroshi Goto ,&nbsp;Yan Ma ,&nbsp;Nobuyuki Takeuchi","doi":"10.1016/j.jet.2025.105994","DOIUrl":"10.1016/j.jet.2025.105994","url":null,"abstract":"<div><div>We develop a two-sector model to explore how skill distribution affects trade in final goods and offshoring. We show that when countries differ in skill abundance, wage disparities create opportunities for offshoring. In contrast, when countries vary in skill diversity but share the same median skill, symmetric skill distributions render offshoring infeasible. We also find that offshoring can result in the relative price under offshoring being lower than each country's autarky relative price if the gap between the median skill levels of the two countries is sufficiently large. Finally, we demonstrate that an individual's industry of employment primarily determines how they are affected by trade in final goods, whereas their occupation (tasks) shapes how they are impacted by offshoring.</div></div>","PeriodicalId":48393,"journal":{"name":"Journal of Economic Theory","volume":"225 ","pages":"Article 105994"},"PeriodicalIF":1.4,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143706398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Information orders in screening problems
IF 1.4 3区 经济学 Q3 ECONOMICS Pub Date : 2025-03-07 DOI: 10.1016/j.jet.2025.105993
Andreas Asseyer
This paper studies information orders in screening models. I amend a general screening problem with a signal about the agent's type. The principal prefers one signal to another for any preferences of principal and agent if and only if the signals are ranked by Blackwell's order. Under a standard regularity condition, a novel information order – the hazard rate spread (HRS) order – characterizes a robust ranking of signals by the principal. I relate the HRS order to well-known information orders and provide sufficient conditions for other welfare measures than the principal's payoff to increase or decrease in the HRS order.
{"title":"Information orders in screening problems","authors":"Andreas Asseyer","doi":"10.1016/j.jet.2025.105993","DOIUrl":"10.1016/j.jet.2025.105993","url":null,"abstract":"<div><div>This paper studies information orders in screening models. I amend a general screening problem with a signal about the agent's type. The principal prefers one signal to another for any preferences of principal and agent if and only if the signals are ranked by Blackwell's order. Under a standard regularity condition, a novel information order – the hazard rate spread (HRS) order – characterizes a robust ranking of signals by the principal. I relate the HRS order to well-known information orders and provide sufficient conditions for other welfare measures than the principal's payoff to increase or decrease in the HRS order.</div></div>","PeriodicalId":48393,"journal":{"name":"Journal of Economic Theory","volume":"225 ","pages":"Article 105993"},"PeriodicalIF":1.4,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143579206","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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Journal of Economic Theory
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