Introduction

Game theory has excisted existed for millennia and has been in applied to many several formssituations; ,Comment [A1]: Using 'and has' here makes thetwo verb phrases equivalent.

ranging fromfor example, historical events (such as Spains’ Spain’s rebellion on against Rome in 75 BCE([McCain 2010), ]), biological models (such as natural selection), market environments (such asoligopolyoligopolies) , politics (such as election bidding), and computer science to name few. This field ofComment [A2]: This phrase is not needed, it ismore conversational.

applied mathematics captures behaviour behavior in strategic situations (called games ), wherein theComment [A3]: We have followed American
English spellings throughout the document.

success (payoff) of the choice made by an individual (the (player ) is dependent on the choiceesmade
choices made by others’ (other players) (Myerson, 1991) .

The three main mathematical models of games are the extensive form, the strategic form, and the coalitionforms,. The bases of difference in one of these models is which differ in terms of the amount of detailprovided,: e.g., the players, their preferences, their information, the strategic actions available to them, andhow these influence the outcome?.

Comment [A4]: A substantive edit ensures thatthe sentence structure is made concise and formal
while maintaining the author’s meaning.

In this paperHerein, we describe the strategic form and study its the underlying phenomena in a business
management case of management— - labor negotiation at an automobile factory.

The strategic form, also called the normal of a game has much little comprises fewer details compared
compared with with the extensive form, in which. For extensive form, the position positions and move
moves of the game are closely followed, and the rules define the probable outcomes in planned or random
moves(as applies to gambling ). By contrastConversely, in the strategic form, the players players’

choicechoices, i.e., a strategy selected from a set of possible strategies, determines the outcome, iee.or,
payoff. All players choose a strategy, and once after the choices are revealed, the game ends with eachplayer getting receiving some payoff. Each player’s payoff is influenced by by eachthe player’s players’
choicechoices. Payoffs can be quiet complex entityentities. For our model, we represent payoffs bynumerical values. Hence, we assume that the numerical payoffs depend on the choices of all the players.

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Comment [A5]: Academic writing should notcontain lengthy and wordy sentences as they canhamper clarity.

3 Three objects define the strategic form of a game: 1) the set of players, : N={1,2,…,n}, }; ii 2) thesequence of the players’ strategy sets:, X1,…, Xn, ; and 3) the sequence of player’s pay -off functions, :f(a1,…, an),…, fn(a1, , a n ).

All material in this document is the intellectual property of Crimson Interactive Pvt. Ltd. The use of information and content inthis document in whole or in part is forbidden unless express permission has been given in writing by Crimson Interactive Pvt.
Ltd.

www.enago.com | www.enago.jp | www.enago.com.tr | www.enago.com.br | www.enago.de | www.enago.tw |www.enago.cn | www.enago.co.kr | www.enago.ru

Comment [A6]: Sentences should not begin withnumerals. In academic writing, spell out the number
when it begins a sentence.