? E XERCISE 255.1 (Emptiness of the strong core when preferences are not strict) Sup- pose that…

/in /by

?  EXERCISE 255.1 (Emptiness of the strong core when preferences are not strict) Sup-

 

pose that some players are indifferent between some pairs of houses. Specifically, suppose there are three players, whose preferences are given in Figure 256.1. Find the core and show that the strong core is empty.

  Player 1

h2 Player 2

h1, h3 Player 3

h2

h1, h3

h2

h1, h3

 

Figure 256.1 The players’ preferences in the game in Exercise 255.1. A cell containing two houses indicates indifference between these two houses.