Optimal Preference Satisfaction for Conflict-Free Joint Decisions

Table 1

Summary of key notations.

Notation	Description
	Number of arms/choices
	Preference of player on arm
	Satisfied preference; probability of each player selecting arm as a result of the joint selection probability matrix
	Loss to measure the degree of satisfaction
	Popularity; sum of the preferences of players A and B for arm
	Total preference used in Section 2.2; sum of the preference of each player
	Symbols used in the revised problem in Section 2.2
	Symbols used in the general problem in Section 2.4