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Supermodularity and complementarity / Donald M. Topkis.

By: Material type: TextTextSeries: Frontiers of economic researchPublication details: Princeton, N.J. : Princeton University Press, ©1998.Description: 1 online resource (ix, 272 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 1400813670
  • 9781400813674
  • 9781400822539
  • 140082253X
Subject(s): Genre/Form: Additional physical formats: Print version:: Supermodularity and complementarity.DDC classification:
  • 658.4/033 21
LOC classification:
  • HD30.23 .T68 1998eb
Online resources:
Contents:
Ch. 1. Introduction Ch. 2. Lattices, Supermodular Functions, and Related Topics Ch. 3. Optimal Decision Models Ch. 4. Noncooperative Games Ch. 5. Cooperative Games.
Summary: The economics literature is replete with examples of monotone comparative statics; that is, scenarios where optimal decisions or equilibria in a parameterized collection of models vary monotonically with the parameter. Most of these examples are manifestations of complementarity, with a common explicit or implicit theoretical basis in properties of a super-modular function on a lattice. Supermodular functions yield a characterization for complementarity and extend the notion of complementarity to a general setting that is a natural mathematical context for studying complementarity and monotone.
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Includes bibliographical references (pages 263-268) and index.

Print version record.

Ch. 1. Introduction Ch. 2. Lattices, Supermodular Functions, and Related Topics Ch. 3. Optimal Decision Models Ch. 4. Noncooperative Games Ch. 5. Cooperative Games.

The economics literature is replete with examples of monotone comparative statics; that is, scenarios where optimal decisions or equilibria in a parameterized collection of models vary monotonically with the parameter. Most of these examples are manifestations of complementarity, with a common explicit or implicit theoretical basis in properties of a super-modular function on a lattice. Supermodular functions yield a characterization for complementarity and extend the notion of complementarity to a general setting that is a natural mathematical context for studying complementarity and monotone.

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