Proposing a dinner date: analysis by rank-dependent expected utility

The rank-dependent expected utility model is used to analyze a game involving a dinner date proposal. Alternative sharing rules are investigated: Dutch treat (both parties pay for their own dinner), and Oriental treat (the one making the invitation pays for both dinners). The solution depends on the sharing rule as well as optimism or pessimism regarding the chances of an invitation from the other party. Solutions that increase the chances of dinner indicate conditions under which optimism or pessimism is advantageous and might survive. Solutions that favor Dutch or Oriental treat suggest mechanisms by which alternative sharing rules might evolve.