Payoff matrix profit

Table 8.7 Profit Payoff Matrix (Millions of Dollars)...

Construct a profit payoff matrix between two firms making Delos (see Section 2.2.3). Firm X has a 30,000-liter reactor and firm Y a 50,000-liter reactor. Let the price be set at three different levels. Estimate the market shares, production levels, and profits of the two firms. Is there a dominant optimal strategy or a mixed optimal strategy ... 

Note that essentially each person has an investment of 1.5 when he starts. Thus the reader may forget the object and play the money game according to the rules given. For example, the element in the first row and second column shows that X who bid zero loses the object and therefore Y gets the object which is worth 3, thereby making a profit of 1.5. Since the matrix represents the payoff from Y to X we use —1.5 indicating that thereby X pays Y, i.e., he loses his investment. 

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