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In the case where the lady cannot escape, they seem to stay in a sub-optimal for both Nash equilibrium: the lady won't exit the lake, and the monster will not leave its shores as long as the lady is in because then he would get nothing at all.

Game theoretically speaking, (disclaimer: Imho...) it is very difficult to just decide the matter by themselves. Say they decide to toss a coin for it. The first problem would be that they would never agree to the proper odds offor the cointoss. The second problem is that whoever lost from the coin toss would just not keep his world. If the lady losses, she will have to choose between keeping her word to a disgusting, uncivilized monster, or die by being eaten alive. And we all know monsters only keep their word on Disney movies (and even then not always).

One way to solve the fist problem is to say they agree to 50%, but this makes no sense, the lady risks her life, while the monster a dinner... To solve the second problem, they might decide to break it to an infinite set of moves, where each move only increases slightly the chance of the lady escaping. The problem is that supposing perfect knowledge, this cannot happen, for each state the lady either escapes or not. (Note in the real world the game has noise, things are a bit fuzzy, e.g. we have estimations and could in fact imagine such a game exists)

The solution would be to have some external force i.e. a king improve the situation ordering the lady to exit and be eaten by the monster, or the monster leave the lake. Alternatively he could have the lady exit, but pay tribute the monster for life. Of course he could also kill the monster to use as tapestry and "marry" the lady, since they stupidly gave him power over them all.

In the case where the lady cannot escape, they seem to stay in a sub-optimal for both Nash equilibrium: the lady won't exit the lake, and the monster will not leave its shores as long as the lady is in because then he would get nothing at all.

Game theoretically speaking, (disclaimer: Imho...) it is very difficult to just decide the matter by themselves. Say they decide to toss a coin for it. The first problem would be that they would never agree to the proper odds of the coin. The second problem is that whoever lost from the coin toss would just not keep his world. If the lady losses, she will have to choose between keeping her word to a disgusting, uncivilized monster, or die by being eaten alive. And we all know monsters only keep their word on Disney movies (and even then not always).

One way to solve the fist problem is to say they agree to 50%, but this makes no sense, the lady risks her life, while the monster a dinner... To solve the second problem, they might decide to break it to an infinite set of moves, where each move only increases slightly the chance of the lady escaping. The problem is that supposing perfect knowledge, this cannot happen, for each state the lady either escapes or not. (Note in the real world the game has noise, things are a bit fuzzy, e.g. we have estimations and could in fact imagine such a game exists)

The solution would be to have some external force i.e. a king improve the situation ordering the lady to exit and be eaten by the monster, or the monster leave the lake. Alternatively he could have the lady exit, but pay tribute the monster for life. Of course he could also kill the monster to use as tapestry and "marry" the lady, since they stupidly gave him power over them all.

In the case where the lady cannot escape, they seem to stay in a sub-optimal for both Nash equilibrium: the lady won't exit the lake, and the monster will not leave its shores as long as the lady is in because then he would get nothing at all.

Game theoretically speaking, (disclaimer: Imho...) it is very difficult to just decide the matter by themselves. Say they decide to toss a coin for it. The first problem would be that they would never agree to the proper odds for the toss. The second problem is that whoever lost from the coin toss would just not keep his world. If the lady losses, she will have to choose between keeping her word to a disgusting, uncivilized monster, or die by being eaten alive. And we all know monsters only keep their word on Disney movies (and even then not always).

One way to solve the fist problem is to say they agree to 50%, but this makes no sense, the lady risks her life, while the monster a dinner... To solve the second problem, they might decide to break it to an infinite set of moves, where each move only increases slightly the chance of the lady escaping. The problem is that supposing perfect knowledge, this cannot happen, for each state the lady either escapes or not. (Note in the real world the game has noise, things are a bit fuzzy, e.g. we have estimations and could in fact imagine such a game exists)

The solution would be to have some external force i.e. a king improve the situation ordering the lady to exit and be eaten by the monster, or the monster leave the lake. Alternatively he could have the lady exit, but pay tribute the monster for life. Of course he could also kill the monster to use as tapestry and "marry" the lady, since they stupidly gave him power over them all.

Source Link
ntg
ntg
  • 198
  • 1
  • 9

In the case where the lady cannot escape, they seem to stay in a sub-optimal for both Nash equilibrium: the lady won't exit the lake, and the monster will not leave its shores as long as the lady is in because then he would get nothing at all.

Game theoretically speaking, (disclaimer: Imho...) it is very difficult to just decide the matter by themselves. Say they decide to toss a coin for it. The first problem would be that they would never agree to the proper odds of the coin. The second problem is that whoever lost from the coin toss would just not keep his world. If the lady losses, she will have to choose between keeping her word to a disgusting, uncivilized monster, or die by being eaten alive. And we all know monsters only keep their word on Disney movies (and even then not always).

One way to solve the fist problem is to say they agree to 50%, but this makes no sense, the lady risks her life, while the monster a dinner... To solve the second problem, they might decide to break it to an infinite set of moves, where each move only increases slightly the chance of the lady escaping. The problem is that supposing perfect knowledge, this cannot happen, for each state the lady either escapes or not. (Note in the real world the game has noise, things are a bit fuzzy, e.g. we have estimations and could in fact imagine such a game exists)

The solution would be to have some external force i.e. a king improve the situation ordering the lady to exit and be eaten by the monster, or the monster leave the lake. Alternatively he could have the lady exit, but pay tribute the monster for life. Of course he could also kill the monster to use as tapestry and "marry" the lady, since they stupidly gave him power over them all.