Generalising canonical extension to the categorical setting

To quantify a player’s commitment in a given Nash equilibrium of a finite dynamic game, we map the corresponding normal-form game to a “canonical extension,” which allows each player to adjust his or her move with a certain probability. The commitment measure relates to the average overall adjustment probabilities for which the given Nash equilibrium can be implemented as a subgame-perfect equilibrium in the canonical extension.

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A canonical extension of Kornʼs first inequality to motivated by gradient plasticity with plastic spin

Comptes Rendus Mathematique ◽

10.1016/j.crma.2011.10.003 ◽

2011 ◽

Vol 349 (23-24) ◽

pp. 1251-1254 ◽

Cited By ~ 31

Author(s):

Patrizio Neff ◽

Dirk Pauly ◽

Karl-Josef Witsch

Keyword(s):

Canonical Extension ◽

Gradient Plasticity ◽

Plastic Spin

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A Lemma for Microlocal Sheaf Theory in the $\infty$-Categorical Setting

Publications of the Research Institute for Mathematical Sciences ◽

10.4171/prims/54-2-5 ◽

2018 ◽

Vol 54 (2) ◽

pp. 379-391 ◽

Cited By ~ 2

Author(s):

Marco Robalo ◽

Pierre Schapira

Keyword(s):

Sheaf Theory ◽

Categorical Setting ◽

Microlocal Sheaf Theory

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Orthomodularity of Decompositions in a Categorical Setting

International Journal of Theoretical Physics ◽

10.1007/s10773-006-9109-0 ◽

2006 ◽

Vol 45 (6) ◽

pp. 1079-1090 ◽

Cited By ~ 5

Author(s):

John Harding

Keyword(s):

Categorical Setting

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Completeness results for intuitionistic and modal logic in a categorical setting

Annals of Pure and Applied Logic ◽

10.1016/0168-0072(93)00085-4 ◽

1995 ◽

Vol 72 (1) ◽

pp. 25-101 ◽

Cited By ~ 22

Author(s):

M Makkai ◽

G.E Reyes

Keyword(s):

Modal Logic ◽

Categorical Setting

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A canonical extension for analytic functions on Banach spaces

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1990-1001952-x ◽

1990 ◽

Vol 320 (2) ◽

pp. 747-763 ◽

Cited By ~ 16

Author(s):

Ignacio Zalduendo

Keyword(s):

Banach Spaces ◽

Analytic Functions ◽

Canonical Extension

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Algebras for combinatorial search

Journal of Functional Programming ◽

10.1017/s0956796809007321 ◽

2009 ◽

Vol 19 (3-4) ◽

pp. 469-487 ◽

Cited By ~ 6

Author(s):

J. MICHAEL SPIVEY

Keyword(s):

Search Strategies ◽

Algebraic Specification ◽

Combinatorial Search ◽

Algebraic Specifications ◽

Categorical Setting

AbstractCombinatorial search strategies including depth-first, breadth-first and depth-bounded search are shown to be different implementations of a common algebraic specification that emphasizes the compositionality of the strategies. This specification is placed in a categorical setting that combines algebraic specifications and monads.

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