Deliverable 3- Mathematics games-Nash Equilibria AnalysisCompetencyThis competency will allow you to demonstrate your ability and skill in applying concepts of Nash equilibrium.InstructionsA local law firm has hired G&B consulting to help determine a business strategy. There is a competing firm in the area and recently the two firms have begun talks in regards to a merger. The merger would mean there are more shared resources than either had before individually. There would also be less competition for both companies. Both would be able to operate more efficiently, however it would take a strong commitment from both sides for the merger to be successful. The law firm that has hired you wants to know their optimum strategy in this situation.What to SubmitTo complete this assignment, you must first download the word document. Your step-by-step breakdown of the problems, including explanations, should be present within the word document provided.Grading RubricF F C B A0 1 2 3 4No Pass No Pass Competence Proficiency MasteryNot Submitted Did not correctly solve a majority of the problems or at least one problem not completed. Correctly solved a majority of the problems. Correctly solved almost all the problems. All problems are solved correctly.Not Submitted Very few steps are provided to explain how to solve the problem OR the steps provided have several errors. Fairly complete and detailed steps are provided to explain how to solve the problem OR the steps provided have some errors. Mostly complete and detailed steps are provided to explain how to solve the problem. Complete and detailed steps are provided to explain how to solve the problem.Not Submitted Explanations generally lack a basic understanding of the concepts or lack of proper terminology. Explanations demonstrate a basic understanding of most of the concepts and terminology, but some explanations may be incomplete or incorrect. Explanations demonstrate a proficient understanding of most of the concepts and terminology, but with small errors. Explanations demonstrate a mastery of understanding of the concepts and terminology.Not Submitted The majority of mathematical expressions and any graphs or tables are not properly formatted OR some are not present. The majority of mathematical expressions and any graphs or tables are properly formatted. Almost all mathematical expressions and any graphs or tables are properly formatted. All mathematical expressions and any graphs or tables are properly formatted.Deliverable 03 – Worksheet1. Market research has determined estimates for each law firm’s expected profits for the various outcomes of this scenario. If both firms agree to the merger then each should individually expect a profit of 16 million in the next year. If our client agrees to the merger while the competitor does not, our client would expect profits of 8 million in the next year while the competitor would expect profits of 15 million. If the decisions were reversed then the payouts would also be reversed. If neither firm agrees to the merger then both would expect profits of 12 million in the next year.Construct a payoff matrix to represent the profits (in millions of dollars) for each firm under the different outcomes. 2. Use the payoff matrix from number 1 to determine if a dominant strategy exists for either firm. Show all of your work. 3. Use the payoff matrix from number 1 to determine any Nash equilibrium points. Show all of your work. 4. Explain your recommendation to the client, citing your work from number 2 and number 3. 5. Working in parallel your co-worker wants to make the recommendation that the client should agree to the merger no matter what as it will give the chance of obtaining the highest profits. Do you agree with this strategy? Explain why or why not.
