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Algorithms | 1st Edition | ISBN: 9780073523408 | Authors: Sanjoy Dasgupta Algorithms, Christos H. Papadimitriou Algorithms, Umesh Vazirani Algorithms
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The pizza business in Little Town is split between two rivals, Tony and Joey. They are

Chapter 7, Problem 7.14

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QUESTION:

The pizza business in Little Town is split between two rivals, Tony and Joey. They are eachinvestigating strategies to steal business away from the other. Joey is considering either loweringprices or cutting bigger slices. Tony is looking into starting up a line of gourmet pizzas, or offeringoutdoor seating, or giving free sodas at lunchtime. The effects of these various strategies aresummarized in the following payoff matrix (entries are dozens of pizzas, Joeys gain and Tonysloss).For instance, if Joey reduces prices and Tony goes with the gourmet option, then Tony will lose 2dozen pizzas worth of business to Joey.What is the value of this game, and what are the optimal strategies for Tony and Joey?

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QUESTION:

The pizza business in Little Town is split between two rivals, Tony and Joey. They are eachinvestigating strategies to steal business away from the other. Joey is considering either loweringprices or cutting bigger slices. Tony is looking into starting up a line of gourmet pizzas, or offeringoutdoor seating, or giving free sodas at lunchtime. The effects of these various strategies aresummarized in the following payoff matrix (entries are dozens of pizzas, Joeys gain and Tonysloss).For instance, if Joey reduces prices and Tony goes with the gourmet option, then Tony will lose 2dozen pizzas worth of business to Joey.What is the value of this game, and what are the optimal strategies for Tony and Joey?

ANSWER:

Step 1 of 4

Quadratic Programming has a quadratic function and linear constraints. It maximizes or minimizes the quadratic function with respect to the given constraints. it is the commonly used method for numerical solutions to constrained nonlinear optimization problems.

 

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