Scenario
A husband and wife have agreed to attend a rare entertainment event in the evening. Unfortunately, neither remembers which of the two special events in town they had agreed on - the boxing match or the opera. The husband prefers the boxing match while the wife prefers the opera; yet, both prefer being together to being apart. They must decide simultaneously and without communication which event to attend.Description
There are two pure strategy equilibria. A different pure strategy equilibrium is preferred by each player. However, either equilibrium is preferred by both players to any of the non-equilibrium outcomes. Thus, both equilibria are Pareto optimal. A mixed strategy equilibrium also exists.Example
Husband | |||
boxing | opera | ||
Wife | boxing | 1,2 | 0,0 |
opera | 0,0 | 2,1 |
General Form
Player 2 | |||
L | R | ||
Player 1 | U | a,w | b,x |
D | c,y | d,z |
d>a>b; d>a>c
w>z>y; w>z>x
updated: 12 August 2005
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© Mike Shor 2001-2006
© Mike Shor 2001-2006