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There are two firms competing in quantity. Firm 1 and 2 set their quantities supplied, q1 and q2, respectively. The production costs are zero. The market price is given by
where a ∈ (0,1/2) and b ≥0. Note that the inverse demand function is kinked at the point (1 - a, a).
This is a simple one-shot game. The firms simultaneously set their quantities. The objective of each firm is to maximize its profit, that is,
1. Derive the pure strategy Nash equilibrium and the equilibrium profits when b = 0.
Ans. 0.5 each
2. Derive the pure strategy Nash equilibrium and the equilibrium profits when b > 0. Note that two pure strategy Nash equilibria may exist.
Ans. All or nothing
3. Dose an increase in b benefit the two firms? This means that you should explain whether or not at increase in the demand size benefits the firm.
Question: (a) 100 individuals applied for systems analyst positions with a large firm during the past year. 40 of them had some prior work experience (W), and 30 had a profes
To determine the amount at which inventory should be reported on the December 31 Year 1 balance sheet, Monroe Company compiles the following information for its inventory of Produc
Progect Guid: PROJECT 1: SIMPLE DATA ANALYSIS & COMPARISON REPORT GUIDELINES This document contains general guidelines for the preparation of the Project Report I. Please note,
example of derivations in daily life
marginal costing and its break-event analysis
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Stratified Sampling: If the population from which a sample is to be drawn does not constitute a homogenous group, then stratified sampling technique is applied so as to obtain a re
Use inductive reason to find a pattern for the answers. 9x9=81 99x99=9801 999x999=998001 9999x9999=99980001 99999x99999=?
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