Question
Expected payoffs for this game are raised if players can co-ordinate their responses in some way. For 10 points each:
[10m] Name this standard two-player co-ordination game in game theory. In this game, the payoffs are highest if both participants choose the same option, but the players have different preferences for which option is best.
ANSWER: Battle of the Sexes [or B or S; or BoS; or Bach or Stravinsky; or Mountains or Beach]
[10h] Forward induction holds that, in a variant of Battle of the Sexes where participants can do this action, the first participant can use the threat of this action, in which utility is deleted, to achieve their desired result.
ANSWER: burning money [or burn money; or money burning]
[10e] Battle of the Sexes has two of these points in pure strategies and one in mixed strategies. These points, often named for John Nash, are defined as the places where no player can gain an advantage by changing their strategy.
ANSWER: Nash equilibria [or Nash equilibriums; accept equilibrium points; accept Nash equilibria]
<Benjamin McAvoy-Bickford, Social Science>
Summary
| 2023 Penn Bowl @ Waterloo | 10/28/2023 | Y | 4 | 10.00 | 100% | 0% | 0% |
| 2023 Penn Bowl @ FSU | 10/28/2023 | Y | 2 | 10.00 | 100% | 0% | 0% |
| 2023 Penn Bowl (Harvard) | 10/21/2023 | Y | 3 | 16.67 | 100% | 67% | 0% |
| 2023 Penn Bowl (Mainsite) | 10/21/2023 | Y | 6 | 15.00 | 100% | 33% | 17% |
| 2023 Penn Bowl (Norcal) | 10/28/2023 | Y | 2 | 10.00 | 100% | 0% | 0% |
| 2023 Penn Bowl (South Central) | 10/28/2023 | Y | 3 | 10.00 | 100% | 0% | 0% |
| 2023 Penn Bowl (UK) | 10/28/2023 | Y | 5 | 10.00 | 100% | 0% | 0% |
Data
| Stanford | Berkeley A | 0 | 0 | 10 | 10 |
| Berkeley C | Berkeley B | 0 | 0 | 10 | 10 |