A note on the direct proof for ex-post stability implies well-ordered ex-post stability

Yıldız, Kemal
We provide a novel and direct proof of the following result: each ex-post stable probabilistic assignment can be decomposed into a collection of deterministic stable assignments, which can be ordered in such a way that each man’s welfare is non-increasing and each woman’s welfare is non-decreasing as we follow the assignments from the first to the last.


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KÖKSAL, MUHAMMET (Informa UK Limited, 1988-5)
This paper, which is a survey and a compact reference on the commutativity of time-varying systems, gives the complete set of necessary and sufficient commutativity conditions for systems of any order. Original results are derived on Euler's systems, and explicit commutativity conditions are presented for fourth-order systems, which have not yet appeared in the literature.
A generalisation of the Morse inequalities
Bhupal, Mohan Lal (Cambridge University Press (CUP), 2001-06-01)
In this paper we construct a family of variational families for a Legendrian embedding, into the 1-jet bundle of a closed manifold, that can be obtained from the zero section through Legendrian embeddings, by discretising the action functional. We compute the second variation of a generating function obtained as above at a nondegenerate critical point and prove a formula relating the signature of the second variation to the Maslov index as the mesh goes to zero. We use this to prove a generalisation of the ...
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Akbas, Burak; Huvaj Sarıhan, Nejan (2015-10-16)
This paper compares the results of different probabilistic approaches and emphasizes the necessity of probabilistic analyses in slope stability studies. To do that, Limit Equilibrium Method (LEM) and Finite Element Method (FEM) are utilized and their outputs are compared in terms of probability of failure (PF), reliability index (RI), factor of safety (FS) and the failure surface. Lastly, concept of Random Finite Element Method (RFEM) is studied and effects of spatial correlation distance are investigated.
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Yıldırım, Salih; Bazlamaçcı, Cüneyt Fehmi; Department of Electrical and Electronics Engineering (2012)
In this thesis a True Random Number Generator (TRNG) employed for cryptographic applications is investigated, implemented and evaluated. The design of TRNG and its embedded tests are described in VHDL language and then implemented on an FPGA platform. Randomness is extracted from the jitter of ring oscillators that has self-failure detecting and sampling logic. The implementation needs only primitive resources which are common in all kinds of FPGAs. The embedded randomness tests described in Federal Informa...
Citation Formats
K. Yıldız, “A note on the direct proof for ex-post stability implies well-ordered ex-post stability,” ODTÜ Gelişme Dergisi, vol. 46, no. 1, pp. 91–96, 2019, Accessed: 00, 2020. [Online]. Available: http://www2.feas.metu.edu.tr/metusd/ojs/index.php/metusd/article/view/1055.