The Good Samaritan Game Unfortunately a man had an accident and somebody has to help him. The per- son(s) observing the accident are relatively nice people, so their payoff is 1, if somebody helps the victim, otherwise they get 0. However, helping requires a certain effort, so the person doing the actual helping has a further cost c, which has to be substracted from his or her payoff. (0 < c < 1) (a) What happens if there is one observer? (b) What happens if there are 2 observers and they make their decisions simul- taneously? (Hint: think mixed strategies.) (c) What happens if there are 3 observers and they make their decisions simul- taneously? (Hint: use similar reasoning and conditions we used for 2 players.) (d) What happens if there are n observers and they make their decisions simul- taneously? Is it better if one has an accident with few or many observers?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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The Good Samaritan Game
Unfortunately a man had an accident and somebody has to help him. The per-
son(s) observing the accident are relatively nice people, so their payoff is 1, if
somebody helps the victim, otherwise they get 0. However, helping requires a
certain effort, so the person doing the actual helping has a further cost c, which
has to be substracted from his or her payoff. (0 < c< 1)
(a) What happens if there is one observer?
(b) What happens if there are 2 observers and they make their decisions simul-
taneously? (Hint: think mixed strategies.)
(c) What happens if there are 3 observers and they make their decisions simul-
taneously? (Hint: use similar reasoning and conditions we used for 2 players.)
(d) What happens if there are n observers and they make their decisions simul-
taneously? Is it better if one has an accident with few or many observers?
Transcribed Image Text:The Good Samaritan Game Unfortunately a man had an accident and somebody has to help him. The per- son(s) observing the accident are relatively nice people, so their payoff is 1, if somebody helps the victim, otherwise they get 0. However, helping requires a certain effort, so the person doing the actual helping has a further cost c, which has to be substracted from his or her payoff. (0 < c< 1) (a) What happens if there is one observer? (b) What happens if there are 2 observers and they make their decisions simul- taneously? (Hint: think mixed strategies.) (c) What happens if there are 3 observers and they make their decisions simul- taneously? (Hint: use similar reasoning and conditions we used for 2 players.) (d) What happens if there are n observers and they make their decisions simul- taneously? Is it better if one has an accident with few or many observers?
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