Question: Example 2 : There are 4 players : S1, S2, B1, B2. Possible coalitions are S1B1, S2B1, S1B2, S2B2. Their worths are 20, 50, 40,

Example 2 : There are 4 players : S1, S2, B1, B2.

Example 2 : There are 4 players : S1, S2, B1, B2. Possible coalitions are S1B1, S2B1, S1B2, S2B2. Their worths are 20, 50, 40, 60 respectively : B1 B2 S1 20 40 S2 50 60 The following is a "house market" scenario for this game : S1 and S2 each owns a house that they are willing to sell if they receive 100 and 140 respectively. B1 and B2 each wants to buy one house. B1 is willing to pay as high as 120 and 190 for the houses of S1, S2 respectively. B2 is willing to pay as high as 140 and 200 for the houses of S1, S2 respectively. Who will buy which house ? At what prices

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