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Supermodularity and Complementarity in Economic Theory

Author

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  • Rabah Amir

    (University of Iowa)

Abstract

This special issue brings together eight separate contributions reflecting recent advances in the methodology of supermodular optimization and games. Three of the papers fall in the main area of supermodular games. Balbus et al. (Econ Theory 67, 2019, https://doi.org/10.1007/s00199-017-1075-7 ) study supermodular games with a continuum of players. Jimenez-Martinez (Econ Theory 67, 2019, https://doi.org/10.1007/s00199-018-1107-y ) develops a model of versioning in social networks. Barthel and Hoffman (Econ Theory 67, 2019, https://doi.org/10.1007/s00199-017-1092-6 ) deal with a class of games with mixed-monotonic best responses (in both directions). The second group of papers falls in the related areas of mechanism design, principal agent, and matching. Johnson (Econ Theory 67, 2019, https://doi.org/10.1007/s00199-018-1127-7 ) considers synchronized Becker-style matching with incomplete information. Kushnir and Liu (Econ Theory 67, 2019, https://doi.org/10.1007/s00199-018-1124-x ) generalizes the equivalence between Bayesian and dominant strategy implementation to the case of nonlinear utilities. Zambrano (Econ Theory 2019, https://doi.org/10.1007/s00199-017-1087-3 ) studies a principal-agent model with choice between a risky and a safe projects. Christensen (Econ Theory 67, 2019, https://doi.org/10.1007/s00199-018-1116-x ) investigates the stability, existence, and uniqueness of equilibria, as solutions to systems of equations. Finally, Drugeon et al. (Econ Theory 67, 2019, https://doi.org/10.1007/s00199-018-1166-0 ) consider a class of dynamic programming problems with endogenous discount factor.

Suggested Citation

  • Rabah Amir, 2019. "Supermodularity and Complementarity in Economic Theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(3), pages 487-496, April.
    • Handle: RePEc:spr:joecth:v:67:y:2019:i:3:d:10.1007_s00199-019-01196-6
    DOI: 10.1007/s00199-019-01196-6
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    More about this item

    Keywords

    Complementarity; Supermodular games; Submodular games; Becker matching; Monotone comparative statics; Correspondence principle;
    All these keywords.

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L51 - Industrial Organization - - Regulation and Industrial Policy - - - Economics of Regulation

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