Mathematical Methods and Theory in Games, Programming, and Economics
By S. Vajda, S. Karlin. 1961
Subfields: Game & Decision Theory
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In Game & Decision Theory
- Simon Lacoste-Julien
- Qinxuan Pan
- Constantinos Daskalakis
- Duncan K. Foley
- K. Lancaster
- Gauthier Gidel
Citations in the corpus
- Frank-Wolfe Algorithms for Saddle Point Problems (2016, background): “In practical cases (by setting a fixed prior order for ties or picking randomly for example), Karlin’s Conjecture (Karlin, 1960) is still open.”
- A Counter-example to Karlin's Strong Conjecture for Fictitious Play (2014, background): “Karlin’s conjecture [23] amounts to the following: If (U, V ) is a dynamic for a matrix A, then”
- Systemic Risk in Financial Systems (2001, background): “…vectors, given that only one variable will be introduced into the basic solution on each pivot. is Algorithms that exploit the economics of the problem, such as the ficti-tious default algorithm developed above, allow for the simultaneous introduction of many defaulting nodes in a single step. e”
- A New Approach to Consumer Theory (1966, background): “Since it is well known that satisfaction of the revealed preference axioms in the aggregate (never guaranteed by traditional theory) leads to global stability in multimarket models (see, for example, Karlin, 1959), the efficiency substitution effect increases confidence in this stability.”
- Lindahl's Solution and the Core of an Economy with Public Goods (1970, background): “By the Minkowski separating hyperplane theorem (for one proof see Karlin [5]), there exists a price vector (p ,...,p ; p ) ^ and a scalar r such that X X J -1 -n - n i - (1) for all (x ,...,x ; z) e F, Z,p x *x + p -z <_ r; and -1 -n n i -i - (2) for all (x ,...,x ; z) e D, -5-iP ,x + p • z >_ r.”