Two-Sided Random Acceptability graph Matching Markets: m 1 Ex-Ante - PowerPoint PPT Presentation

Mar 14, 2024 •94 likes •148 views

Two-Sided Matching Market Two-Sided Random Acceptability graph Matching Markets: m 1 Ex-Ante Equivalence of the w 1 m 2 Deferred Acceptance w 2 Procedures m 3 w 3 m 4 w 4 Simon Mauras m 5 simon.mauras@irif.fr Agents order their neighbours

Two-Sided Matching Market Two-Sided Random Acceptability graph Matching Markets: m 1 Ex-Ante Equivalence of the w 1 m 2 Deferred Acceptance w 2 Procedures m 3 w 3 m 4 w 4 Simon Mauras m 5 simon.mauras@irif.fr Agents order their neighbours uniformly at random. Université de Paris, IRIF Mauras (Université de Paris, IRIF) EC’20 Poster 1 / 4
You are an evil decision maker You need to chose the procedure: • MPDA : Men Proposing Deferred Acceptance • WPDA : Women Proposing Deferred Acceptance You really like this matching: m 1 w 1 m 2 w 2 µ m 3 w 3 m 4 w 4 m 5 What should you do to maximize the probability of chosing µ ? Mauras (Université de Paris, IRIF) EC’20 Poster 2 / 4
Output distribution of MPDA . Output distribution of WPDA . P [ MPDA outputs µ ] = 299 / 5184 P [ WPDA outputs µ ] = 299 / 5184 Mauras (Université de Paris, IRIF) EC’20 Poster 3 / 4
In the proof... Lattice of stable matchings. Theorem. “Ex-ante equivalence” MPDA and WPDA have the same output distribution . If you don’t know the preferences, you cannot “manipulate”... Probability of stability. In the talk/paper: 1 Proof of the Theorem. 2 Non-uniform distributions. Mauras (Université de Paris, IRIF) EC’20 Poster 4 / 4

Recommend

Opening Exercise Use a Random object to create an object that simulates a standard six-sided die.

Opening Exercise Use a Random object to create an object that simulates a standard six-sided die. A Die should have a roll() method. import java.util.Random; public class Die { private static Random generator = new Random(); // FILL IN THE

266 views • 15 slides

One-Sided Access in Two-Sided Markets Marianne Verdier Universit de Lille 1, Laboratoire

One-Sided Access in Two-Sided Markets Marianne Verdier Universit de Lille 1, Laboratoire EQUIPPE I acknowledge financial support from FIDES, Forum sur les Institutions, le Droit, l'Economie et la Socit, to present at the EARIE (2013)

481 views • 34 slides

One-sided versus two-sided measures: the lack of continuity Eric O. Endo 1 Department of

One-sided versus two-sided measures: the lack of continuity Eric O. Endo 1 Department of Mathematics NYU Shanghai, China Jointly with: Rodrigo Bissacot (IME-USP, Brazil) Aernout C. D. van Enter (RUG, the Netherlands) Arnaud Le Ny (Universit

671 views • 17 slides

Pseudo-random graphs and bit probe schemes with one-sided error Andrei Romashchenko CNRS, LIF de

Pseudo-random graphs and bit probe schemes with one-sided error Andrei Romashchenko CNRS, LIF de Marseille & IITP of RAS (Moscow) CSR 2011, June 14 Andrei Romashchenko (CNRS & IITP) Pseudo-random graphs & bit probe CSR 2011, June

831 views • 51 slides

1. Introduction In this lecture we will derive the formulas for the symmetric two-sided confidence

Lecture 27 : Random Intervals and Confidence IntervalsThe confidence interval formulas for the mean in an normal distribution when is known 0/ 7 1. Introduction In this lecture we will derive the formulas for the symmetric two-sided

412 views • 8 slides

Competition Policy in Two-Sided Markets Tobias J. Klein, TILEC und Tilburg University December 9,

Competition Policy in Two-Sided Markets Tobias J. Klein, TILEC und Tilburg University December 9, 2014 Symposium in honor of Jean Tirole 1 / 22 advertisers readers 2 / 22 Two-sided markets Two-sided market: A firm sells two products or

595 views • 22 slides

FaSST: Fast, Scalable, and Simple Distributed Transactions with Two-Sided (RDMA) Datagram RPCs

FaSST: Fast, Scalable, and Simple Distributed Transactions with Two-Sided (RDMA) Datagram RPCs Anuj Kalia (CMU) Michael Kaminsky (Intel Labs) David Andersen (CMU) 1 One-slide summary Node 1 Node 2 One-sided (READ) NIC Two-sided (SEND)

236 views • 13 slides

High Performance Design and Implementation of Nemesis Communication Layer for Two-sided and

High Performance Design and Implementation of Nemesis Communication Layer for Two-sided and One-Sided MPI Semantics in MVAPICH2 Miao Luo, Sreeram Potluri, Ping Lai, Emilio P. Mancini, Hari Subramoni, Krishna Kandalla, Sayantan Sur, D. K. Panda

596 views • 34 slides

Different Types of Limits Besides ordinary, two-sided limits, there are one-sided limits (left-

Different Types of Limits Besides ordinary, two-sided limits, there are one-sided limits (left- hand limits and right-hand limits), infinite limits and limits at infinity. One-Sided Limits x 2 4 x 5. Consider lim x 5 One might

222 views • 3 slides

P l a y e r D e v e l o p m e n t I n i t i a t i v e s O v e rv i ew 1 Small Sided Games 2

P l a y e r D e v e l o p m e n t I n i t i a t i v e s O v e rv i ew 1 Small Sided Games 2 Calendar Year Registration 3 The changes discussed here require rule changes at North Texas Soccer to be in compliance with these mandates S m a

433 views • 18 slides

1 One- Sided Chebyshevs Inequality Of the Midterm What Say You Chebyshev? Statistics from

Markovs Inequality Inequality, Probability, and Joviality In many cases, we dont know the true form of a Say X is a non-negative random variable probability distribution E [ X ] for all P ( X a ) , a 0

173 views • 3 slides

from two-sided pricing to gated communities: welcome back to the eighties julien mailland

from two-sided pricing to gated communities: welcome back to the eighties julien mailland indiana university, telecommunications should regulation attempt to preserve the properties of the open Internet? two-sided pricing gated

533 views • 35 slides

Random Numbers RANDOM VS PSEUDO RANDOM Truly Random numbers From Wolfram: A random number

Random Numbers RANDOM VS PSEUDO RANDOM Truly Random numbers From Wolfram: A random number is a number chosen as if by chance from some specified distribution such that selection of a large set of these numbers reproduces the underlying

720 views • 12 slides

THE DOUBLE DUALITY OF TWO SIDED MARKETS Speech delivered at the 2014 Pros and Cons

THE DOUBLE DUALITY OF TWO SIDED MARKETS Speech delivered at the 2014 Pros and Cons Conference 1 Stockholm, 28 November 2014 Alfonso Lamadrid de Pablo GARRIGUES, Brussels 1. INTRODUCTION The increasing relevance of multi-sided markets

737 views • 17 slides

t I U PYP T TH Xvi I wz i i Pr I Then X A random variable for which Definition Pr Asif

Distributions July 27g 2020 Distribution Geometric 1 The Copoun Collector's problem Application Poisson Distribution 2 Question number of times is the expected we have what 6 sided die until we roll a fair roll to a 63 55 prew 65 bhim F

560 views • 11 slides

1 Rolling Dice Hyper for the Hypergeometric Roll two 6-sided dice D 1 and D 2 X and Y are

Viva La Correlacin! Fun with Indicator Variables Say X and Y are arbitrary random variables Let I A and I B be indicators for events A and B Correlation of X and Y, denoted r (X, Y) : 1 if A occurs 1 if B occurs

694 views • 3 slides

Classified Matchings under one sided preferences Meghana Nasre IIT Madras Recent Trends in

Classified Matchings under one sided preferences Classified Matchings under one sided preferences Meghana Nasre IIT Madras Recent Trends in Algorithms NISER, Bhubaneshwar Feb 07, 2019 joint work with Prajakta Nimbhorkar (CMI) and Nada Pulath

1.71k views • 108 slides

P l a y e r D e v e l o p m e n t I n i t i a t i v e s Overview 1 Small Sided Games 2

P l a y e r D e v e l o p m e n t I n i t i a t i v e s Overview 1 Small Sided Games 2 Calendar Year Registration 3 Challenges 4 Questions S ma l l S i d e d G a me s Obj ectives From U.S. Soccer: Develop skills on the ball

363 views • 18 slides

FaSST: Fast, Scalable, and Simple Distributed Transactions with Two-Sided (RDMA) Datagram RPCs

FaSST: Fast, Scalable, and Simple Distributed Transactions with Two-Sided (RDMA) Datagram RPCs Anuj Kalia (CMU), Michael Kaminsky (Intel Labs), David Andersen (CMU) RDMA Modes of communication One-sided RDMA (CPU bypass) RDMA is a

1.05k views • 71 slides

Design and Implementa/on of Key Proposed MPI-3 One-Sided

Design and Implementa/on of Key Proposed MPI-3 One-Sided Communica/on Seman/cs on InfiniBand Sreeram Potluri , Sayantan Sur, Devendar Bureddy and

288 views • 12 slides

E [ X ] = X 1 ( 2 ) ? X 1 ( 2 ) = { HHT , HTH , THH } . All the outcomes a Pr

Alex Psomas: Lecture 17. Random Variables: Definitions Random Variables: Definitions Definition A random variable, X , for a random experiment with sample space is a function X : . Random Variables: Expectation, Variance Thus, X

423 views • 7 slides

1 Z-Score Test for Comparing One-sided vs Two-sided Tests Learned Hypotheses Assumes h 1 is

Evaluating Inductive Hypotheses Accuracy of hypotheses on training data is obviously biased since the hypothesis was CS 391L: Machine Learning: constructed to fit this data. Experimental Evaluation Accuracy must be evaluated on an

357 views • 4 slides

6. random variables T T T T H T H H Random VariablesIntro 2

CSE 312, 2017 Winter, W.L.Ruzzo 6. random variables T T T T H T H H Random VariablesIntro 2 random variables A random variable is a numeric function of the outcome of an experiment, not the outcome itself.

1.17k views • 95 slides

Chapter 9 Object recognition Random Forests 9.9 Random forests 2 9.9 Random forests

Chapter 9 Object recognition Random Forests 9.9 Random forests 2 9.9 Random forests Random forests a classification approach that is especially well suited for prob- lems with many classes when large datasets are available for

382 views • 21 slides