In certain judgmental situations where a "correct" decision is presumed to exist, optimal decision making requires evaluation of the decision-maker's capabilities and the selection of the appropriate aggregation rule. The major and so far unresolved difficulty is the former necessity. This paper...

We analyze the simplest Condorcet cycle with three players and three alternatives within a strategic bargaining model with recognition probabilities and costless delay. Mixed consistent subgame perfect equilibria exist whenever the geometric mean of the agents' risk coefficients, ratios of...

In most real-life binary referendums, there are several alternatives that potentially can challenge the status quo alternative. Depending on which alternative that is selected, the voters are also differently likely to caste their vote on it. The fact that there are several potential challenger...

When a counter-proposal is made to an initiative to change the Swiss constitution, the citizenry makes three binary majority choices: the initiative versus the status quo, the initiative versus the counter-proposal, and the status quo versus the counterproposal as a tie-breaker. If there is a...

We consider a framework where the optimal decision rule determining the collective choice depends in a simple way on the decision makers’ posterior probabilities of a particular state of nature. Nevertheless, voting is generally an inefficient way to make collective choices and this paper...

We consider a framework where the optimal decision rule determining the collective choice depends in a simple way on the decision makers' posterior probabilities of a particular state of nature. Nevertheless, voting is generally an inefficient way to make collective choices and this paper sheds...

Experiments evaluate the fit of human behaviour to the Shapley-Shubik power index (SSPI), a formula of voter power. Groups of six subjects with differing votes divide a fixed purse by majority rule in online chat rooms. Earnings proxy for measured power. Chat rooms and processes for selecting...