Optimum contract and par contract are two closely related (and sometimes confused)

bridge scoring While a deal of bridge is always played following a unique set of rules, its scoring may vary depending on the type of event the deal is played on. There are two main categories of scoring: rubber and duplicate. Rubber scoring, and its popular va ...

terms in the card game

contract bridge Contract bridge, or simply bridge, is a trick-taking card game using a standard 52-card deck. In its basic format, it is played by four players in two competing partnerships, with partners sitting opposite each other around a table. Millions o ...

Optimum contract

The optimum contract is the one that offers the best chance of gaining the most scoring points whilst minimising the risk of failure. It is that contract that cannot be improved upon by further bidding nor could it have been improved upon by taking a different line in earlier bidding. At Chicago or IMP scoring it is generally worth bidding game even with a slightly less than 50% chance of success due to the relatively high value of the bonuses (especially when vulnerable). In duplicate pairs scoring, the subtle difference between a major suit game, a NT game and a minor suit game make the declaration an important decision. Each side has its own optimum contract and, for a side with poor hands, "pass" may be the optimum call.

Par contract

Where there is competitive bidding (i.e. both sides are bidding) the extra dimension of sacrificial bidding is added, and the theoretical optimum contract can be overtaken by the par contract. The par contract on a deal is that contract that results from optimal bidding by both sides and that neither side could improve by further bidding. It will either be equal to the optimum contract of one side or it will exceed the optimum contract of both sides. If the latter, it is only considered par if the doubled penalty is less than the value of the opposing optimum contract.

Par score or par result

The par result is that score that arises from the par contract and on which neither side could reasonably improve by changing their line of play. Game theoreticians would refer to such a par result as a

Nash equilibrium In game theory, the Nash equilibrium, named after the mathematician John Nash, is the most common way to define the solution of a non-cooperative game involving two or more players. In a Nash equilibrium, each player is assumed to know the equili ...

. The term par score originated in the game of

golf Golf is a club-and-ball sport in which players use various clubs to hit balls into a series of holes on a course in as few strokes as possible. Golf, unlike most ball games, cannot and does not use a standardized playing area, and coping wi ...

Notes

{{DEFAULTSORT:Optimum contract and par contract Contract bridge bidding