Extend the model of the jungle to the case in which the number of houses is smaller than the number of agents. In this case, an allocation is a function from the set of agents to the set HU {homeless} with the property that no two agents are assigned to the same house. Each agent has a preference ordering over H U {homeless}. Assume that this ordering is strict; assume also that every agent prefers to be allocated any house than to be homeless. Define an equilibrium for this extended model and show that it always exists.

ENGR.ECONOMIC ANALYSIS
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Extend the model of the jungle to the case in which the number of houses is smaller than the number of agents. In
this case, an allocation is a function from the set of agents to the set H U {homeless} with the property that no
two agents are assigned to the same house. Each agent has a preference ordering over H U {homeless}. Assume
that this ordering is strict; assume also that every agent prefers to be allocated any house than to be homeless.
Define an equilibrium for this extended model and show that it always exists.
Transcribed Image Text:Extend the model of the jungle to the case in which the number of houses is smaller than the number of agents. In this case, an allocation is a function from the set of agents to the set H U {homeless} with the property that no two agents are assigned to the same house. Each agent has a preference ordering over H U {homeless}. Assume that this ordering is strict; assume also that every agent prefers to be allocated any house than to be homeless. Define an equilibrium for this extended model and show that it always exists.
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