scholarly journals Order on types based on monotone comparative statics

2020 ◽  
Vol 189 ◽  
pp. 105082
Author(s):  
Takashi Kunimoto ◽  
Takuro Yamashita
Keyword(s):  
Comparative Statics ◽  
Monotone Comparative Statics

scholarly journals Monotone comparative statics in games with non-monotonic best-replies: Contests and Cournot oligopoly

2019 ◽  
Vol 183 ◽  
pp. 823-841 ◽  
Author(s):  
Adriana Gama ◽  
David Rietzke
Keyword(s):  
Comparative Statics ◽  
Cournot Oligopoly ◽  
Monotone Comparative Statics

The Neglect of Monotone Comparative Statics Methods

2010 ◽  
Vol 41 (2) ◽  
pp. 177-193 ◽  
Author(s):  
Carol Horton Tremblay ◽  
Victor J. Tremblay
Keyword(s):  
Comparative Statics ◽  
Monotone Comparative Statics

scholarly journals Monotone Comparative Statics for Models of Politics

2006 ◽  
Vol 50 (1) ◽  
pp. 214-231 ◽  
Author(s):  
Scott Ashworth ◽  
Ethan Bueno de Mesquita
Keyword(s):  
Comparative Statics ◽  
Monotone Comparative Statics

scholarly journals Monotone Comparative Statics: Geometric Approach

2007 ◽  
Vol 137 (3) ◽  
pp. 641-673 ◽  
Author(s):  
B. H. Strulovici ◽  
T. A. Weber
Keyword(s):  
Geometric Approach ◽  
Comparative Statics ◽  
Monotone Comparative Statics

M♮-Convexity and Its Applications in Operations

2021 ◽  
Author(s):  
Xin Chen ◽  
Menglong Li
Keyword(s):  
Comparative Statics ◽  
Optimization Models ◽  
Optimal Solutions ◽  
Monotone Comparative Statics ◽  
Stochastic Inventory ◽  
Fundamental Properties ◽  
Stochastic Inventory Model ◽  
Lattice Programming ◽  
Discrete Convex Analysis ◽  
Preservation Property

A new approach for structural analysis of operations models with substitutability structures. In many operations models with substitutability structures, one often ends up with parametric optimization models that maximize submodular objective functions, and it is desirable to derive structural properties including monotone comparative statics of the optimal solutions or preservation of submodularity under the optimization operations. Yet, this task is challenging because the classical and commonly used results in lattice programming, applicable to optimization models with supermodular objective function maximization, do not apply. Using a key concept in discrete convex analysis, M♮-convexity, Chen and Li establish conditions under which the optimal solutions are nonincreasing in the parameters and the preservation property holds for parametric maximization models with submodular objectives, together with the development of several new fundamental properties of M♮-convexity. Their approach is powerful as demonstrated by applications in a classical multiproduct stochastic inventory model and a portfolio contract model.

scholarly journals Matching With Complementary Contracts

Econometrica ◽  
2020 ◽  
Vol 88 (5) ◽  
pp. 1793-1827 ◽  
Author(s):  
Marzena Rostek ◽  
Nathan Yoder
Keyword(s):  
Social Media ◽  
Comparative Statics ◽  
Design Decisions ◽  
Monotone Comparative Statics ◽  
Patent Pools ◽  
Multilateral Agreements ◽  
Deferred Acceptance Algorithm ◽  
Social Media Platforms ◽  
Deferred Acceptance ◽  
The Impact

In this paper, we show that stable outcomes exist in matching environments with complementarities, such as social media platforms or markets for patent licenses. Our results apply to both nontransferable and transferable utility settings, and allow for multilateral agreements and those with externalities. In particular, we show that stable outcomes in these settings are characterized by the largest fixed point of a monotone operator, and so can be found using an algorithm; in the nontransferable utility case, this is a one‐sided deferred acceptance algorithm, rather than a Gale–Shapley algorithm. We also give a monotone comparative statics result as well as a comparative static on the effect of bundling contracts together. These illustrate the impact of design decisions, such as increased privacy protections on social media, or the use of antitrust law to disallow patent pools, on stable outcomes.

Strict Single Crossing and the Strict Spence-Mirrlees Condition: A Comment on Monotone Comparative Statics

Econometrica ◽  
1998 ◽  
Vol 66 (6) ◽  
pp. 1417 ◽  
Author(s):  
Aaron S. Edlin ◽  
Chris Shannon
Keyword(s):  
Comparative Statics ◽  
Monotone Comparative Statics ◽  
Single Crossing
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