Creating a Dominant Strategy
Consider the following payoff matrix where two programmers, Astrid and Bettina, independently choose a programming language. The payoffs are in thousands of dollars, with Astrid's payoff listed first in each cell.
| Bettina: Java | Bettina: C++ | |
|---|---|---|
| Astrid: Java | (4, 3) | (1, 1) |
| Astrid: C++ | (2, 2) | (3, 4) |
Currently, neither player has a dominant strategy. What is the smallest integer value you could change Astrid's payoff to in the (Java, C++) outcome to give her a dominant strategy to choose Java? Explain your reasoning.
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Consider a game where two software developers, Astrid and Bettina, must independently choose which programming language to use for a joint project. The first number in each pair is Astrid's payoff, and the second is Bettina's payoff (in thousands of dollars). The payoffs are as follows:
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Bettina: Java Bettina: C++ Astrid: Java (4, 3) (1, 1) Astrid: C++ (2, 2) (3, 4) Statement: Astrid has a dominant strategy to choose Java.
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Bettina: Java Bettina: C++ Astrid: Java (4, 3) (1, 1) Astrid: C++ (2, 2) (3, 4) Which statement accurately describes the conflict of interest based on their preferred outcomes?
Creating a Dominant Strategy
Consider a scenario where two programmers, Astrid and Bettina, must independently choose to use either Java or C++ for a project. The table below shows their payoffs (in thousands of dollars), with Astrid's payoff listed first in each cell.
Bettina: Java Bettina: C++ Astrid: Java (4, 3) (1, 1) Astrid: C++ (2, 2) (3, 4) Statement: Astrid has a dominant strategy to choose Java.