Pareto efficient allocation are of many types :
HOUSE ALLOCATION
> where there are N agent and N houses
> Each agent has strict preferences of the house.
DESIRABLE ALLOCATION
> 3 agents 1 ,2 ,3 and 3 houses A , B, C
Diagram Explanation : -
EFFICIENT ALLOCATION:-
In this allocationn the one get exhaused all the gain from the trade.
> Individual Responsibility
Diagram Explanation:-
Consider the following house allocation problem. pl: B > A>C p2 : C>A>B p3: BCA Find...
Consider the following house allocation problem: pl: B>A> p2 : CA p3: C>B ili Find a priority order (if any) for the serial dictatorship algorithm such that the final outcome is (p1 - A, p2-B, p3-C). Explain.
Player II Player a,b B cdgh Consider the game in strategic form above where A, B, C, and D are strategies and a, b, c, d, e, f, g, and h, are payoffs. Select all that apply. a. If (A,C) is a Nash Equilibrium then it must be that a 2 C b.Ifband d-hthen D is weakly dominated C. If A is weakly dominated and C is weakly dominant then (B,D) is a Nash equilibrium. d. Ifa> b and e...
Question 4.1 (9 marks): Consider a basis B = {pl,p2.p3} of polynomials in P, , where pl :=1-x: p2 := x-x: p3 := 1+x: a Use the definition of coordinate vector to find the polynomial p4 in P, the vector of coordinates of which in the basis B is c4=(2,2,-2). b. Find the transition matrix StoB from the standard basis in P, to the basis B. What are the coordinates of the three standard coordinate vectors of the basis Sin...
solve a, b , c 1. Consider the heat flow problem on the real line, where u(x,t), t> 0 is the temperature at point x at time t: ди 1 t> 0 at 28.2 (u(2,0) = sin() (a) What is the thermal diffusitivity constant B? (b) Find the intervals of r where the temparature will increase at t = 0. (c) Sketch the graph of the temperature at t = 0. (d) On the same axes as in (e), sketch...
Consider the Hamiltonian P2 V8 (tk)? exp (–2(k:X)2) H = 2 m (6.63) where k > 0. We consider the following trial wave function y = A exp (a) Is this trial wave function justified? Give reasons. (b) Find the expectation value for the kinetic energy and the potential energy. Express your answers in hk2 multiples of 2m (c) Compute the upper bound for the ground state energy.
10. Consider this joint pdf. c(r+ y 0 otherwise (a) Find c. (b) Find frv). (c) Find fyy) (d) What is the probability that x > 0 giveny-1?
Suppose that X1, X2,....Xn is an iid sample of size n from a Pareto pdf of the form 0-1) otherwise, where θ > 0. (a) Find θ the method of moments (MOM) estimator for θ For what values of θ does θ exist? Why? (b) Find θ, the maximum likelihood estimator (MLE) for θ. (c) Show explicitly that the MLE depends on the sufficient statistic for this Pareto family but that the MOM estimator does not
Consider the initial value problem (a) Find the solution u(t) of this problem. u(t) = b) For t > O find the first time at which lu t = 10 A computer algebra system is recommended. Round your answer to four decimal places.) 回Show My Work (optional:@
Chapter 7, Problem 7.015 Use the differential equation approach to find i(t) for t > 0 in the circuit in the figure below. i(t) 6 mA 1 kS2 2 k2 4 mH Please put all numbers as integers. Click here to enter or edit your answer mA i(t)
Say that a < 0) and k is a positive integer. Find a constant c such that tk edt < ceżat for all t > 0.