Solution: This is a five path network, with the node b occupying the intuitively strong position. The reason is that the nodes can engage in free-form negotiation in which units of values on edge can be divided. The node b can be able reach an agreement with all nodes, therefore if this network is deployed with real people, we can expect precise values.
Note : I have answered in brief based on the 3 points, comment me if you want a detailed explanation.
Q3. Now consider the following outcome for a network-exchange theory experiment: 1/2 1/2 a. If you performed the experi...
Q1. Suppose a network exchange theory experiment is run on the graph depicted below using the one-exchange rule. a. Say which node or nodes you would expect to make the most money (i.e. receive the most favorable exchanges). (2 points) b. Explain why you would expect these nodes to make the most money. (3 points) Do you think the advantage experienced by the most powerful nodes in this graph will be more similar to the advantage experienced by the most...
Part 1: Variable Sum Games 1. Find the Natural Outcome of the following variable sum game and answer the questions below (10 points) 2,3 4,2 3,4 a. Explain how you found the Natural Outcome b. Is the Natural Outcome an equilibrium? c. Is the Natural Outcome Pareto optimal? d. Is the Natural Outcome vulnerable to a threat by the row player? e. Is the Natural Outcome vulnerable to a forced move by the row player? 2. Using cell A(l) in...
1. Consider a random experiment that has as an outcome the number x. Let the associated random variable be X, with true (population) and unknown probability density function fx(x), mean ux, and variance σχ2. Assume that n 2 independent, repeated trials of the random experiment are performed, resulting in the 2-sample of numerical outcomes x] and x2. Let estimate f x of true mean ux be μΧ-(X1 + x2)/2. Then the random variable associated with estimate Axis estimator Ax- (XI...
chemical reaction was performed in a coffee cup calorimeter (the set up you experiment 2). The calorimeter contained 50.0 g of water at an initial temperature After the reaction was complete the temperature of the water was 27.0°C. Coleute a. Calculate the energy change, in joules (J), of the water. The specific heats is 4.18 J/gºC. ater at an initial temperature of 22.0°C. ules ("), of the water. The specific heat (S.H.) of water Page 2 UTOROURUAN b. Identify the...
Consider a random experiment that has as an outcome the number x. Let the associated variable be X, with true (population) and unknown probability density function fx(x), mean ux. and variance σχ2. Assume that n-2 independent, repeated trials of the random experiment are performed, resulting in the 2-sample of numerical outcomes xi and x2 Let estimate μ X of true mean #xbe μχ = (x1+x2)/2. Then the random variable associated with estimate μ xis estimator random 1. a. Show the...
Question 2 (10 points) You are given the following model y-put ei. Consider two alternative estimators of β, b2xvix? and b = Zy/X 1. Which estimator would you choose and why if the model satisfies all the assumptions of classical regression? Prove your results. (4 points) 2. Now suppose that var(y)-hxi, where h is a positive constant (a) Obtain the correct variance of the OLS estimator. (2 points) (b) Show that the BLU estimator is now 6. Derive its variance....
Q3. (30) Consider the energy distribution network of fig.2.a where E1 and E2 generatorsaiven as 1.0+j0.0 pu and 0.90+j0.0 pu, respectively, on a 500 kV base. After the source transformation, the equivatdiagram is redrawn as in fig.2.b. a) (03) On the diagram of fig.2.b, write down the values of the bus currents l1, 12 and admittances yij. b) (07) Write down the bus admittance matrix Ybus c) (10) Find the bus voltage vector Vbus-[Vi Vsing Ibus-YbusVbus d) (10) Eind the...
Consider the following network: 01-0 W11-1 W13-5 x,-1 W03-0 X2 2 W22-1 Obtain the output Y for the following cases: (a) All the neurons are represented by a linear function with slope of 1 (y-x) (b) All the neurons are represented by a McCulloch-Pitts model (hard limit activation function with negative threshold zero) (c) All the neurons are represented based on a sigmoid activation function. Consider the following network: 01-0 W11-1 W13-5 x,-1 W03-0 X2 2 W22-1 Obtain the output...
Artiﬁcial Intelligence: Game Theory, Mechanism Design, and Social Choice Problem 2 (10 pt) Let the voting rule be STV. 1. Consider the following profile: [email protected][a b-e] 4201с b] [email protected][b-cx a] What paradoxical outcome occurs when four votes switch from a b cto c a b? 2. For the same profile in (a), what paradoxical outcome occurs when four voters with a > b - c don't vote? Problem 2 (10 pt) Let the voting rule be STV. 1. Consider the...
5 Network Flow, 90p. Consider the below flow network, with s the source and t the sink. 5 4 1. (10p) Draw a flow with value 8. (You may write it on top of the edges in the graph above, or draw a new graph.) You are not required to show how you construct the flow (though it may help you to apply say the Edmonds-Karp algorithm). 2. (5p) List a cut with capacity 8. (You may draw it in...